Sun, Apr 26, 2026

Propagation anomalies - 2026-04-26

Detection of blocks that propagated slower than expected, attempting to find correlations with blob count.

Show code
display_sql("block_production_timeline", target_date)
View query
WITH
-- Base slots using proposer duty as the source of truth
slots AS (
    SELECT DISTINCT
        slot,
        slot_start_date_time,
        proposer_validator_index
    FROM canonical_beacon_proposer_duty
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
),

-- Proposer entity mapping
proposer_entity AS (
    SELECT
        index,
        entity
    FROM ethseer_validator_entity
    WHERE meta_network_name = 'mainnet'
),

-- Blob count per slot
blob_count AS (
    SELECT
        slot,
        uniq(blob_index) AS blob_count
    FROM canonical_beacon_blob_sidecar
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
    GROUP BY slot
),

-- Canonical block hash (to verify MEV payload was actually used)
canonical_block AS (
    SELECT DISTINCT
        slot,
        execution_payload_block_hash
    FROM canonical_beacon_block
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
),

-- MEV bid timing using timestamp_ms
mev_bids AS (
    SELECT
        slot,
        slot_start_date_time,
        min(timestamp_ms) AS first_bid_timestamp_ms,
        max(timestamp_ms) AS last_bid_timestamp_ms
    FROM mev_relay_bid_trace
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
    GROUP BY slot, slot_start_date_time
),

-- MEV payload delivery - join canonical block with delivered payloads
-- Note: Use is_mev flag because ClickHouse LEFT JOIN returns 0 (not NULL) for non-matching rows
-- Get value from proposer_payload_delivered (not bid_trace, which may not have the winning block)
mev_payload AS (
    SELECT
        cb.slot,
        cb.execution_payload_block_hash AS winning_block_hash,
        1 AS is_mev,
        max(pd.value) AS winning_bid_value,
        groupArray(DISTINCT pd.relay_name) AS relay_names,
        any(pd.builder_pubkey) AS winning_builder
    FROM canonical_block cb
    GLOBAL INNER JOIN mev_relay_proposer_payload_delivered pd
        ON cb.slot = pd.slot AND cb.execution_payload_block_hash = pd.block_hash
    WHERE pd.meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
    GROUP BY cb.slot, cb.execution_payload_block_hash
),

-- Winning bid timing from bid_trace (may not exist for all MEV blocks)
winning_bid AS (
    SELECT
        bt.slot,
        bt.slot_start_date_time,
        argMin(bt.timestamp_ms, bt.event_date_time) AS winning_bid_timestamp_ms
    FROM mev_relay_bid_trace bt
    GLOBAL INNER JOIN mev_payload mp ON bt.slot = mp.slot AND bt.block_hash = mp.winning_block_hash
    WHERE bt.meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
    GROUP BY bt.slot, bt.slot_start_date_time
),

-- Block gossip timing with spread
block_gossip AS (
    SELECT
        slot,
        min(event_date_time) AS block_first_seen,
        max(event_date_time) AS block_last_seen
    FROM libp2p_gossipsub_beacon_block
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
    GROUP BY slot
),

-- Column arrival timing: first arrival per column, then min/max of those
column_gossip AS (
    SELECT
        slot,
        min(first_seen) AS first_column_first_seen,
        max(first_seen) AS last_column_first_seen
    FROM (
        SELECT
            slot,
            column_index,
            min(event_date_time) AS first_seen
        FROM libp2p_gossipsub_data_column_sidecar
        WHERE meta_network_name = 'mainnet'
          AND slot_start_date_time >= '2026-04-26' AND slot_start_date_time < '2026-04-26'::date + INTERVAL 1 DAY
          AND event_date_time > '1970-01-01 00:00:01'
        GROUP BY slot, column_index
    )
    GROUP BY slot
)

SELECT
    s.slot AS slot,
    s.slot_start_date_time AS slot_start_date_time,
    pe.entity AS proposer_entity,

    -- Blob count
    coalesce(bc.blob_count, 0) AS blob_count,

    -- MEV bid timing (absolute and relative to slot start)
    fromUnixTimestamp64Milli(mb.first_bid_timestamp_ms) AS first_bid_at,
    mb.first_bid_timestamp_ms - toInt64(toUnixTimestamp(mb.slot_start_date_time)) * 1000 AS first_bid_ms,
    fromUnixTimestamp64Milli(mb.last_bid_timestamp_ms) AS last_bid_at,
    mb.last_bid_timestamp_ms - toInt64(toUnixTimestamp(mb.slot_start_date_time)) * 1000 AS last_bid_ms,

    -- Winning bid timing (from bid_trace, may be NULL if block hash not in bid_trace)
    if(wb.slot != 0, fromUnixTimestamp64Milli(wb.winning_bid_timestamp_ms), NULL) AS winning_bid_at,
    if(wb.slot != 0, wb.winning_bid_timestamp_ms - toInt64(toUnixTimestamp(s.slot_start_date_time)) * 1000, NULL) AS winning_bid_ms,

    -- MEV payload info (from proposer_payload_delivered, always present for MEV blocks)
    if(mp.is_mev = 1, mp.winning_bid_value, NULL) AS winning_bid_value,
    if(mp.is_mev = 1, mp.relay_names, []) AS winning_relays,
    if(mp.is_mev = 1, mp.winning_builder, NULL) AS winning_builder,

    -- Block gossip timing with spread
    bg.block_first_seen,
    dateDiff('millisecond', s.slot_start_date_time, bg.block_first_seen) AS block_first_seen_ms,
    bg.block_last_seen,
    dateDiff('millisecond', s.slot_start_date_time, bg.block_last_seen) AS block_last_seen_ms,
    dateDiff('millisecond', bg.block_first_seen, bg.block_last_seen) AS block_spread_ms,

    -- Column arrival timing (NULL when no blobs)
    if(coalesce(bc.blob_count, 0) = 0, NULL, cg.first_column_first_seen) AS first_column_first_seen,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', s.slot_start_date_time, cg.first_column_first_seen)) AS first_column_first_seen_ms,
    if(coalesce(bc.blob_count, 0) = 0, NULL, cg.last_column_first_seen) AS last_column_first_seen,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', s.slot_start_date_time, cg.last_column_first_seen)) AS last_column_first_seen_ms,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', cg.first_column_first_seen, cg.last_column_first_seen)) AS column_spread_ms

FROM slots s
GLOBAL LEFT JOIN proposer_entity pe ON s.proposer_validator_index = pe.index
GLOBAL LEFT JOIN blob_count bc ON s.slot = bc.slot
GLOBAL LEFT JOIN mev_bids mb ON s.slot = mb.slot
GLOBAL LEFT JOIN mev_payload mp ON s.slot = mp.slot
GLOBAL LEFT JOIN winning_bid wb ON s.slot = wb.slot
GLOBAL LEFT JOIN block_gossip bg ON s.slot = bg.slot
GLOBAL LEFT JOIN column_gossip cg ON s.slot = cg.slot

ORDER BY s.slot DESC
Show code
df = load_parquet("block_production_timeline", target_date)

# Filter to valid blocks (exclude missed slots)
df = df[df["block_first_seen_ms"].notna()]
df = df[(df["block_first_seen_ms"] >= 0) & (df["block_first_seen_ms"] < 60000)]

# Flag MEV vs local blocks
df["has_mev"] = df["winning_bid_value"].notna()
df["block_type"] = df["has_mev"].map({True: "MEV", False: "Local"})

# Get max blob count for charts
max_blobs = df["blob_count"].max()

print(f"Total valid blocks: {len(df):,}")
print(f"MEV blocks: {df['has_mev'].sum():,} ({df['has_mev'].mean()*100:.1f}%)")
print(f"Local blocks: {(~df['has_mev']).sum():,} ({(~df['has_mev']).mean()*100:.1f}%)")
Total valid blocks: 7,192
MEV blocks: 6,885 (95.7%)
Local blocks: 307 (4.3%)

Anomaly detection method

The method:

  1. Fit linear regression: block_first_seen_ms ~ blob_count
  2. Calculate residuals (actual - expected)
  3. Flag blocks with residuals > 2σ as anomalies

Points above the ±2σ band propagated slower than expected given their blob count.

Show code
# Conditional outliers: blocks slow relative to their blob count
df_anomaly = df.copy()

# Fit regression: block_first_seen_ms ~ blob_count
slope, intercept, r_value, p_value, std_err = stats.linregress(
    df_anomaly["blob_count"].astype(float), df_anomaly["block_first_seen_ms"]
)

# Calculate expected value and residual
df_anomaly["expected_ms"] = intercept + slope * df_anomaly["blob_count"].astype(float)
df_anomaly["residual_ms"] = df_anomaly["block_first_seen_ms"] - df_anomaly["expected_ms"]

# Calculate residual standard deviation
residual_std = df_anomaly["residual_ms"].std()

# Flag anomalies: residual > 2σ (unexpectedly slow)
df_anomaly["is_anomaly"] = df_anomaly["residual_ms"] > 2 * residual_std

n_anomalies = df_anomaly["is_anomaly"].sum()
pct_anomalies = n_anomalies / len(df_anomaly) * 100

# Prepare outliers dataframe
df_outliers = df_anomaly[df_anomaly["is_anomaly"]].copy()
df_outliers["relay"] = df_outliers["winning_relays"].apply(lambda x: x[0] if len(x) > 0 else "Local")
df_outliers["proposer"] = df_outliers["proposer_entity"].fillna("Unknown")
df_outliers["builder"] = df_outliers["winning_builder"].apply(
    lambda x: f"{x[:10]}..." if pd.notna(x) and x else "Local"
)

print(f"Regression: block_ms = {intercept:.1f} + {slope:.2f} × blob_count (R² = {r_value**2:.3f})")
print(f"Residual σ = {residual_std:.1f}ms")
print(f"Anomalies (>2σ slow): {n_anomalies:,} ({pct_anomalies:.1f}%)")
Regression: block_ms = 1675.2 + 16.86 × blob_count (R² = 0.007)
Residual σ = 652.2ms
Anomalies (>2σ slow): 323 (4.5%)
Show code
# Create scatter plot with regression band
x_range = np.array([0, int(max_blobs)])
y_pred = intercept + slope * x_range
y_upper = y_pred + 2 * residual_std
y_lower = y_pred - 2 * residual_std

fig = go.Figure()

# Add ±2σ band
fig.add_trace(go.Scatter(
    x=np.concatenate([x_range, x_range[::-1]]),
    y=np.concatenate([y_upper, y_lower[::-1]]),
    fill="toself",
    fillcolor="rgba(100,100,100,0.2)",
    line=dict(width=0),
    name="±2σ band",
    hoverinfo="skip",
))

# Add regression line
fig.add_trace(go.Scatter(
    x=x_range,
    y=y_pred,
    mode="lines",
    line=dict(color="white", width=2, dash="dash"),
    name="Expected",
))

# Normal points (sample to avoid overplotting)
df_normal = df_anomaly[~df_anomaly["is_anomaly"]]
if len(df_normal) > 2000:
    df_normal = df_normal.sample(2000, random_state=42)

fig.add_trace(go.Scatter(
    x=df_normal["blob_count"],
    y=df_normal["block_first_seen_ms"],
    mode="markers",
    marker=dict(size=4, color="rgba(100,150,200,0.4)"),
    name=f"Normal ({len(df_anomaly) - n_anomalies:,})",
    hoverinfo="skip",
))

# Anomaly points
fig.add_trace(go.Scatter(
    x=df_outliers["blob_count"],
    y=df_outliers["block_first_seen_ms"],
    mode="markers",
    marker=dict(
        size=7,
        color="#e74c3c",
        line=dict(width=1, color="white"),
    ),
    name=f"Anomalies ({n_anomalies:,})",
    customdata=np.column_stack([
        df_outliers["slot"],
        df_outliers["residual_ms"].round(0),
        df_outliers["relay"],
    ]),
    hovertemplate="<b>Slot %{customdata[0]}</b><br>Blobs: %{x}<br>Actual: %{y:.0f}ms<br>+%{customdata[1]}ms vs expected<br>Relay: %{customdata[2]}<extra></extra>",
))

fig.update_layout(
    margin=dict(l=60, r=30, t=30, b=60),
    xaxis=dict(title="Blob count", range=[-0.5, int(max_blobs) + 0.5]),
    yaxis=dict(title="Block first seen (ms from slot start)"),
    legend=dict(orientation="h", yanchor="bottom", y=1.02, xanchor="right", x=1),
    height=500,
)
fig.show(config={"responsive": True})

All propagation anomalies

Blocks that propagated much slower than expected given their blob count, sorted by residual (worst first).

Show code
# All anomalies table with selectable text and Lab links
if n_anomalies > 0:
    df_table = df_outliers.sort_values("residual_ms", ascending=False)[
        ["slot", "blob_count", "block_first_seen_ms", "expected_ms", "residual_ms", "proposer", "builder", "relay"]
    ].copy()
    df_table["block_first_seen_ms"] = df_table["block_first_seen_ms"].round(0).astype(int)
    df_table["expected_ms"] = df_table["expected_ms"].round(0).astype(int)
    df_table["residual_ms"] = df_table["residual_ms"].round(0).astype(int)
    
    # Build HTML table
    html = '''
    <style>
    .anomaly-table { border-collapse: collapse; width: 100%; font-family: monospace; font-size: 13px; }
    .anomaly-table th { background: #2c3e50; color: white; padding: 8px 12px; text-align: left; position: sticky; top: 0; }
    .anomaly-table td { padding: 6px 12px; border-bottom: 1px solid #eee; }
    .anomaly-table tr:hover { background: #f5f5f5; }
    .anomaly-table .num { text-align: right; }
    .anomaly-table .delta { background: #ffebee; color: #c62828; font-weight: bold; }
    .anomaly-table a { color: #1976d2; text-decoration: none; }
    .anomaly-table a:hover { text-decoration: underline; }
    .table-container { max-height: 600px; overflow-y: auto; }
    </style>
    <div class="table-container">
    <table class="anomaly-table">
    <thead>
    <tr><th>Slot</th><th class="num">Blobs</th><th class="num">Actual (ms)</th><th class="num">Expected (ms)</th><th class="num">Δ (ms)</th><th>Proposer</th><th>Builder</th><th>Relay</th></tr>
    </thead>
    <tbody>
    '''
    
    for _, row in df_table.iterrows():
        slot_link = f'<a href="https://lab.ethpandaops.io/ethereum/slots/{row["slot"]}" target="_blank">{row["slot"]}</a>'
        html += f'''<tr>
            <td>{slot_link}</td>
            <td class="num">{row["blob_count"]}</td>
            <td class="num">{row["block_first_seen_ms"]}</td>
            <td class="num">{row["expected_ms"]}</td>
            <td class="num delta">+{row["residual_ms"]}</td>
            <td>{row["proposer"]}</td>
            <td>{row["builder"]}</td>
            <td>{row["relay"]}</td>
        </tr>'''
    
    html += '</tbody></table></div>'
    display(HTML(html))
    print(f"\nTotal anomalies: {len(df_table):,}")
else:
    print("No anomalies detected.")
SlotBlobsActual (ms)Expected (ms)Δ (ms)ProposerBuilderRelay
14197356 0 18916 1675 +17241 solo_stakers Local Local
14198969 0 16577 1675 +14902 whale_0xdd00 Local Local
14200941 0 8163 1675 +6488 senseinode_lido Local Local
14195168 0 7524 1675 +5849 upbit Local Local
14201504 0 6358 1675 +4683 upbit Local Local
14198560 0 4860 1675 +3185 upbit Local Local
14199611 0 4794 1675 +3119 whale_0xba8f Local Local
14198309 0 3938 1675 +2263 coinbase 0xb67eaa5e... BloXroute Max Profit
14198053 3 3781 1726 +2055 everstake 0x857b0038... BloXroute Max Profit
14200995 2 3632 1709 +1923 blockdaemon_lido 0x88857150... Ultra Sound
14198501 5 3680 1760 +1920 solo_stakers 0x857b0038... BloXroute Max Profit
14201801 1 3552 1692 +1860 blockdaemon 0xb67eaa5e... Ultra Sound
14195808 2 3553 1709 +1844 solo_stakers Local Local
14201235 0 3456 1675 +1781 whale_0x8ebd 0x88a53ec4... Aestus
14198270 0 3450 1675 +1775 blockdaemon 0xb67eaa5e... BloXroute Regulated
14198061 2 3480 1709 +1771 blockdaemon_lido 0xb67eaa5e... Titan Relay
14199048 1 3454 1692 +1762 blockdaemon 0xb4ce6162... Ultra Sound
14201024 1 3437 1692 +1745 bitstamp 0x856b0004... BloXroute Max Profit
14195722 3 3454 1726 +1728 blockdaemon 0x8a850621... Titan Relay
14201147 0 3400 1675 +1725 blockdaemon 0xb67eaa5e... BloXroute Max Profit
14199261 6 3501 1776 +1725 blockdaemon 0x8a850621... Titan Relay
14201324 4 3459 1743 +1716 blockdaemon 0x853b0078... BloXroute Max Profit
14199182 0 3372 1675 +1697 ether.fi 0x8527d16c... Ultra Sound
14198888 1 3388 1692 +1696 blockdaemon 0x8a850621... Titan Relay
14195761 1 3388 1692 +1696 blockdaemon_lido 0x823e0146... Ultra Sound
14195319 2 3399 1709 +1690 blockdaemon_lido 0xb67eaa5e... Titan Relay
14201676 1 3382 1692 +1690 blockdaemon 0x857b0038... BloXroute Max Profit
14197368 1 3374 1692 +1682 whale_0xdc8d 0xb67eaa5e... BloXroute Regulated
14199229 0 3347 1675 +1672 blockdaemon 0xb4ce6162... Ultra Sound
14200827 1 3361 1692 +1669 blockdaemon 0x9129eeb4... Ultra Sound
14195198 0 3341 1675 +1666 blockdaemon_lido 0x88857150... Ultra Sound
14199391 5 3424 1760 +1664 ether.fi 0x850b00e0... Ultra Sound
14200483 1 3353 1692 +1661 blockdaemon 0x8db2a99d... BloXroute Max Profit
14194917 1 3352 1692 +1660 blockdaemon 0xb26f9666... Titan Relay
14197985 0 3335 1675 +1660 ether.fi 0x8db2a99d... BloXroute Max Profit
14195477 1 3349 1692 +1657 stakefish 0x857b0038... BloXroute Regulated
14198007 0 3332 1675 +1657 0xb4ce6162... Ultra Sound
14199914 6 3430 1776 +1654 blockdaemon_lido 0x88857150... Ultra Sound
14200829 1 3345 1692 +1653 blockdaemon 0x8db2a99d... Titan Relay
14201251 9 3476 1827 +1649 blockdaemon 0xb67eaa5e... BloXroute Max Profit
14199474 0 3324 1675 +1649 blockdaemon 0x857b0038... Ultra Sound
14201867 6 3421 1776 +1645 kiln 0x857b0038... BloXroute Max Profit
14200845 2 3345 1709 +1636 revolut 0xb67eaa5e... BloXroute Regulated
14200024 8 3445 1810 +1635 revolut 0x8db2a99d... BloXroute Max Profit
14201560 0 3310 1675 +1635 blockdaemon_lido 0xb26f9666... Titan Relay
14197429 8 3444 1810 +1634 blockdaemon_lido 0xb67eaa5e... Titan Relay
14197560 0 3306 1675 +1631 nethermind_lido 0x823e0146... BloXroute Max Profit
14196605 1 3322 1692 +1630 p2porg 0x857b0038... BloXroute Regulated
14198505 3 3349 1726 +1623 blockdaemon_lido 0x8527d16c... Ultra Sound
14195770 2 3332 1709 +1623 blockdaemon 0xb26f9666... Titan Relay
14200037 0 3297 1675 +1622 blockdaemon_lido 0x8527d16c... Ultra Sound
14200194 11 3481 1861 +1620 luno 0xb67eaa5e... BloXroute Max Profit
14197437 5 3379 1760 +1619 blockdaemon 0xb67eaa5e... BloXroute Regulated
14200134 0 3294 1675 +1619 blockdaemon_lido 0x8527d16c... Ultra Sound
14197498 3 3344 1726 +1618 whale_0xdc8d 0x856b0004... Ultra Sound
14197412 0 3293 1675 +1618 blockdaemon 0xb67eaa5e... Ultra Sound
14201630 0 3292 1675 +1617 blockdaemon_lido 0xb67eaa5e... Titan Relay
14195266 5 3375 1760 +1615 blockdaemon_lido 0xb26f9666... Titan Relay
14194895 0 3283 1675 +1608 whale_0xdc8d 0xb26f9666... Titan Relay
14199731 0 3283 1675 +1608 whale_0xdc8d 0x88857150... Ultra Sound
14196907 0 3282 1675 +1607 blockdaemon 0x8527d16c... Ultra Sound
14201286 6 3383 1776 +1607 kiln 0xb67eaa5e... BloXroute Max Profit
14201643 7 3399 1793 +1606 coinbase 0xb67eaa5e... BloXroute Max Profit
14198453 5 3365 1760 +1605 blockdaemon_lido 0x850b00e0... BloXroute Regulated
14196730 0 3279 1675 +1604 whale_0x8914 0xb67eaa5e... Aestus
14200502 1 3295 1692 +1603 blockdaemon 0x88857150... Ultra Sound
14195456 0 3274 1675 +1599 0xb67eaa5e... Aestus
14198356 0 3269 1675 +1594 0x856b0004... Ultra Sound
14195157 2 3296 1709 +1587 blockdaemon 0x857b0038... Ultra Sound
14196781 1 3279 1692 +1587 blockdaemon_lido 0x8527d16c... Ultra Sound
14198485 4 3323 1743 +1580 ether.fi 0x853b0078... BloXroute Max Profit
14198516 7 3371 1793 +1578 revolut 0x853b0078... BloXroute Max Profit
14200860 5 3336 1760 +1576 blockdaemon 0x856b0004... BloXroute Max Profit
14196186 0 3248 1675 +1573 0x856b0004... Ultra Sound
14197868 1 3263 1692 +1571 luno 0x9129eeb4... Ultra Sound
14200892 1 3257 1692 +1565 revolut 0x853b0078... BloXroute Regulated
14194904 2 3273 1709 +1564 luno 0x8527d16c... Ultra Sound
14198237 1 3251 1692 +1559 whale_0xfd67 0xb67eaa5e... Aestus
14196575 6 3335 1776 +1559 blockdaemon_lido 0x8527d16c... Ultra Sound
14201632 5 3317 1760 +1557 abyss_finance 0x8db2a99d... BloXroute Max Profit
14198889 0 3228 1675 +1553 blockdaemon 0x805e28e6... BloXroute Max Profit
14201583 2 3261 1709 +1552 blockdaemon 0x88a53ec4... BloXroute Max Profit
14197101 5 3307 1760 +1547 blockdaemon 0xb26f9666... Titan Relay
14199119 0 3221 1675 +1546 blockdaemon_lido 0x851b00b1... Ultra Sound
14195258 1 3236 1692 +1544 revolut 0xb26f9666... Titan Relay
14201779 0 3219 1675 +1544 whale_0x75ff 0x8db2a99d... Ultra Sound
14200057 0 3217 1675 +1542 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14198944 5 3299 1760 +1539 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14197191 2 3246 1709 +1537 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
14198083 0 3212 1675 +1537 p2porg 0xb67eaa5e... Ultra Sound
14201529 0 3212 1675 +1537 revolut 0x823e0146... BloXroute Max Profit
14197607 0 3211 1675 +1536 blockdaemon_lido 0x88857150... Ultra Sound
14198439 1 3223 1692 +1531 whale_0xc611 0x823e0146... Ultra Sound
14201770 0 3205 1675 +1530 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
14200746 6 3306 1776 +1530 gateway.fmas_lido 0x88a53ec4... BloXroute Max Profit
14197973 2 3238 1709 +1529 gateway.fmas_lido 0x88a53ec4... BloXroute Regulated
14197875 6 3303 1776 +1527 0xb26f9666... Titan Relay
14201201 4 3266 1743 +1523 gateway.fmas_lido 0x8db2a99d... BloXroute Max Profit
14198387 0 3196 1675 +1521 revolut 0x88a53ec4... BloXroute Max Profit
14198607 6 3297 1776 +1521 gateway.fmas_lido 0x850b00e0... BloXroute Max Profit
14201695 10 3362 1844 +1518 luno 0xb67eaa5e... Ultra Sound
14195602 0 3188 1675 +1513 whale_0xdc8d 0x8527d16c... Ultra Sound
14199567 4 3255 1743 +1512 blockdaemon 0x88a53ec4... BloXroute Regulated
14195361 1 3204 1692 +1512 revolut 0x853b0078... Ultra Sound
14200898 5 3270 1760 +1510 blockdaemon_lido 0x823e0146... Titan Relay
14195615 0 3182 1675 +1507 gateway.fmas_lido 0x88a53ec4... BloXroute Regulated
14199568 0 3176 1675 +1501 whale_0xdc8d 0x8527d16c... Ultra Sound
14194843 0 3173 1675 +1498 revolut 0xb26f9666... Titan Relay
14195196 5 3256 1760 +1496 whale_0x8ebd 0x88857150... Ultra Sound
14197678 5 3255 1760 +1495 figment 0x8db2a99d... Ultra Sound
14195297 0 3169 1675 +1494 bitstamp 0x8db2a99d... Flashbots
14199730 0 3167 1675 +1492 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14201965 5 3251 1760 +1491 blockdaemon_lido 0x88857150... Ultra Sound
14195351 5 3249 1760 +1489 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14198774 9 3315 1827 +1488 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14196927 1 3180 1692 +1488 gateway.fmas_lido 0x88a53ec4... BloXroute Max Profit
14197022 0 3162 1675 +1487 blockdaemon_lido 0xb67eaa5e... BloXroute Regulated
14197007 3 3212 1726 +1486 whale_0xdc8d 0x853b0078... Ultra Sound
14197794 1 3178 1692 +1486 revolut 0xb26f9666... Titan Relay
14200710 7 3278 1793 +1485 blockdaemon 0xb26f9666... Titan Relay
14201145 8 3294 1810 +1484 0x850b00e0... Ultra Sound
14198661 1 3176 1692 +1484 0x850b00e0... BloXroute Regulated
14197984 0 3157 1675 +1482 p2porg 0x850b00e0... BloXroute Max Profit
14197079 0 3156 1675 +1481 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
14201203 0 3155 1675 +1480 whale_0xfd67 0xb67eaa5e... Titan Relay
14196882 0 3155 1675 +1480 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14199420 0 3154 1675 +1479 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
14201393 6 3252 1776 +1476 blockdaemon_lido 0xb67eaa5e... BloXroute Max Profit
14198012 0 3150 1675 +1475 p2porg 0xa965c911... Ultra Sound
14198288 1 3165 1692 +1473 blockdaemon_lido 0xb67eaa5e... BloXroute Regulated
14199871 0 3148 1675 +1473 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
14195333 6 3248 1776 +1472 revolut 0xb26f9666... Titan Relay
14196125 5 3229 1760 +1469 whale_0x8914 0xb67eaa5e... Titan Relay
14195568 5 3229 1760 +1469 kiln 0xb67eaa5e... BloXroute Max Profit
14199037 1 3158 1692 +1466 blockdaemon_lido 0x853b0078... Ultra Sound
14200152 2 3174 1709 +1465 blockdaemon 0xb26f9666... Titan Relay
14197161 5 3224 1760 +1464 revolut 0x853b0078... BloXroute Regulated
14198479 0 3139 1675 +1464 gateway.fmas_lido 0x88857150... Ultra Sound
14200192 7 3254 1793 +1461 whale_0x75ff 0xb67eaa5e... BloXroute Regulated
14196408 13 3351 1894 +1457 luno 0x856b0004... Ultra Sound
14194920 6 3231 1776 +1455 whale_0x3878 0x850b00e0... Ultra Sound
14197458 0 3129 1675 +1454 gateway.fmas_lido 0x805e28e6... BloXroute Max Profit
14194934 0 3128 1675 +1453 whale_0x8914 0x851b00b1... Ultra Sound
14201882 4 3194 1743 +1451 coinbase 0x88a53ec4... BloXroute Regulated
14197288 5 3209 1760 +1449 coinbase 0xb67eaa5e... BloXroute Max Profit
14199243 6 3223 1776 +1447 whale_0x8ebd 0x88a53ec4... BloXroute Regulated
14199549 1 3138 1692 +1446 blockdaemon 0x8527d16c... Ultra Sound
14198752 1 3138 1692 +1446 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
14200711 0 3121 1675 +1446 whale_0x8914 0x851b00b1... Ultra Sound
14195945 2 3153 1709 +1444 whale_0x8ebd 0xb26f9666... Titan Relay
14198298 0 3119 1675 +1444 figment 0x853b0078... BloXroute Max Profit
14200999 5 3203 1760 +1443 whale_0xba40 0x850b00e0... Ultra Sound
14200605 7 3236 1793 +1443 coinbase 0xb67eaa5e... BloXroute Max Profit
14201162 7 3236 1793 +1443 whale_0x8ebd 0xb67eaa5e... BloXroute Max Profit
14199851 5 3202 1760 +1442 kiln 0xb67eaa5e... BloXroute Max Profit
14201629 0 3115 1675 +1440 blockdaemon 0xb67eaa5e... BloXroute Regulated
14200150 5 3198 1760 +1438 coinbase 0xb67eaa5e... BloXroute Regulated
14199444 0 3113 1675 +1438 gateway.fmas_lido 0x856b0004... Ultra Sound
14199783 10 3280 1844 +1436 gateway.fmas_lido 0x850b00e0... BloXroute Max Profit
14198709 1 3128 1692 +1436 p2porg 0x853b0078... BloXroute Regulated
14197627 0 3110 1675 +1435 gateway.fmas_lido 0xb5a65d00... Ultra Sound
14195866 0 3108 1675 +1433 p2porg 0x805e28e6... BloXroute Regulated
14198437 9 3259 1827 +1432 p2porg 0x850b00e0... BloXroute Regulated
14197549 1 3124 1692 +1432 gateway.fmas_lido 0x88857150... Ultra Sound
14201757 0 3107 1675 +1432 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
14199532 2 3140 1709 +1431 p2porg 0x853b0078... Titan Relay
14195081 7 3223 1793 +1430 whale_0x8914 0x850b00e0... Ultra Sound
14199725 3 3149 1726 +1423 p2porg 0xb7c5e609... BloXroute Max Profit
14200216 0 3096 1675 +1421 whale_0x8914 0xb67eaa5e... BloXroute Max Profit
14200200 4 3162 1743 +1419 whale_0x8ebd 0x853b0078... Ultra Sound
14200561 6 3195 1776 +1419 whale_0x8914 0xb67eaa5e... Titan Relay
14198998 0 3093 1675 +1418 whale_0x8ebd 0xb67eaa5e... BloXroute Max Profit
14201995 5 3177 1760 +1417 p2porg 0xb26f9666... Titan Relay
14200988 6 3193 1776 +1417 p2porg 0xb26f9666... Aestus
14196556 6 3193 1776 +1417 blockdaemon 0x856b0004... Ultra Sound
14199951 3 3142 1726 +1416 figment 0x8db2a99d... Ultra Sound
14197323 1 3106 1692 +1414 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
14196511 2 3122 1709 +1413 whale_0x8ebd 0x850b00e0... Flashbots
14198370 8 3223 1810 +1413 whale_0x4b5e 0xb67eaa5e... Titan Relay
14195688 3 3138 1726 +1412 whale_0xc611 0xb67eaa5e... Titan Relay
14201408 5 3170 1760 +1410 nethermind_lido 0xb26f9666... Aestus
14197516 1 3102 1692 +1410 p2porg 0x850b00e0... Flashbots
14196454 10 3252 1844 +1408 blockdaemon_lido 0x8db2a99d... BloXroute Max Profit
14200790 0 3082 1675 +1407 whale_0x8ebd 0xb67eaa5e... Ultra Sound
14198268 1 3098 1692 +1406 0x856b0004... BloXroute Max Profit
14196206 1 3095 1692 +1403 coinbase 0xb67eaa5e... Ultra Sound
14194856 0 3073 1675 +1398 p2porg 0x850b00e0... BloXroute Regulated
14199417 8 3205 1810 +1395 whale_0x8914 0xb67eaa5e... Titan Relay
14198087 6 3171 1776 +1395 blockdaemon 0xb67eaa5e... BloXroute Regulated
14200285 0 3069 1675 +1394 p2porg 0xb26f9666... Titan Relay
14200453 0 3069 1675 +1394 kiln 0xb26f9666... BloXroute Max Profit
14198105 0 3069 1675 +1394 blockdaemon_lido 0x853b0078... BloXroute Max Profit
14201118 1 3085 1692 +1393 kiln 0x88857150... Ultra Sound
14198511 7 3186 1793 +1393 p2porg 0xb26f9666... Titan Relay
14199060 7 3185 1793 +1392 whale_0x8914 0x850b00e0... Ultra Sound
14199640 6 3167 1776 +1391 coinbase 0xb67eaa5e... BloXroute Max Profit
14197570 6 3166 1776 +1390 p2porg 0x853b0078... BloXroute Regulated
14198887 0 3064 1675 +1389 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
14195467 0 3063 1675 +1388 p2porg 0x88a53ec4... BloXroute Regulated
14198096 0 3063 1675 +1388 figment 0x853b0078... Ultra Sound
14201228 11 3248 1861 +1387 p2porg 0x853b0078... BloXroute Regulated
14201460 5 3146 1760 +1386 kiln 0xb67eaa5e... BloXroute Regulated
14200958 0 3060 1675 +1385 whale_0x8ebd 0x8527d16c... Ultra Sound
14197196 4 3125 1743 +1382 coinbase 0x856b0004... Ultra Sound
14201816 0 3057 1675 +1382 kiln 0xb67eaa5e... BloXroute Regulated
14196565 0 3055 1675 +1380 whale_0xfd67 0x88a53ec4... BloXroute Max Profit
14200218 0 3054 1675 +1379 0x856b0004... BloXroute Max Profit
14200182 0 3054 1675 +1379 p2porg 0x853b0078... BloXroute Max Profit
14196165 6 3155 1776 +1379 whale_0x8ebd Local Local
14198988 0 3053 1675 +1378 coinbase 0x856b0004... Ultra Sound
14196304 0 3053 1675 +1378 p2porg 0x850b00e0... BloXroute Regulated
14196984 0 3052 1675 +1377 p2porg 0xb67eaa5e... Aestus
14195868 0 3052 1675 +1377 blockdaemon_lido 0x8527d16c... Ultra Sound
14200205 0 3050 1675 +1375 p2porg 0x853b0078... Titan Relay
14200132 0 3050 1675 +1375 p2porg 0xb26f9666... BloXroute Max Profit
14198943 2 3083 1709 +1374 p2porg 0xb26f9666... Titan Relay
14199581 0 3049 1675 +1374 p2porg 0x8db2a99d... BloXroute Max Profit
14196313 0 3049 1675 +1374 coinbase 0x88a53ec4... BloXroute Regulated
14196392 0 3049 1675 +1374 coinbase Local Local
14197226 0 3049 1675 +1374 0xb67eaa5e... Aestus
14196643 5 3133 1760 +1373 whale_0x8ebd 0xb7c5e609... BloXroute Max Profit
14200467 7 3166 1793 +1373 blockdaemon 0x88857150... Ultra Sound
14195587 0 3048 1675 +1373 whale_0xfd67 0x88a53ec4... BloXroute Regulated
14197384 0 3048 1675 +1373 p2porg 0x856b0004... BloXroute Max Profit
14201931 1 3063 1692 +1371 p2porg 0x8db2a99d... Ultra Sound
14195998 0 3046 1675 +1371 coinbase Local Local
14198199 7 3163 1793 +1370 p2porg 0xb26f9666... Titan Relay
14197482 6 3145 1776 +1369 whale_0xfd67 0x8db2a99d... BloXroute Max Profit
14198902 1 3059 1692 +1367 p2porg 0x8527d16c... Ultra Sound
14199499 7 3159 1793 +1366 blockdaemon 0x856b0004... Ultra Sound
14201761 0 3041 1675 +1366 kiln 0x9129eeb4... Ultra Sound
14199428 2 3073 1709 +1364 kiln 0xb67eaa5e... BloXroute Regulated
14197859 10 3206 1844 +1362 whale_0xfd67 0x8527d16c... Ultra Sound
14200128 6 3138 1776 +1362 nethermind_lido 0xb26f9666... Aestus
14197839 7 3151 1793 +1358 figment 0x8db2a99d... BloXroute Max Profit
14196237 1 3049 1692 +1357 whale_0x8ebd 0xb67eaa5e... BloXroute Max Profit
14196903 1 3049 1692 +1357 whale_0x8ebd 0x8527d16c... Ultra Sound
14196298 9 3183 1827 +1356 whale_0xfd67 0x88a53ec4... BloXroute Max Profit
14198594 8 3165 1810 +1355 kiln 0x856b0004... BloXroute Max Profit
14198572 2 3063 1709 +1354 kiln 0x853b0078... BloXroute Max Profit
14196453 1 3046 1692 +1354 whale_0x8ebd 0x8527d16c... Ultra Sound
14196530 0 3028 1675 +1353 p2porg 0x853b0078... BloXroute Max Profit
14201797 1 3044 1692 +1352 coinbase 0xb67eaa5e... BloXroute Max Profit
14196007 0 3027 1675 +1352 solo_stakers 0x85fb0503... Aestus
14196301 1 3043 1692 +1351 kiln 0x88a53ec4... BloXroute Regulated
14195483 0 3022 1675 +1347 p2porg 0x853b0078... BloXroute Max Profit
14197959 6 3123 1776 +1347 whale_0x8ebd 0xb26f9666... Titan Relay
14195382 2 3055 1709 +1346 coinbase 0x88a53ec4... BloXroute Max Profit
14196052 1 3038 1692 +1346 whale_0x8ebd 0x856b0004... Ultra Sound
14196828 1 3038 1692 +1346 p2porg 0x853b0078... BloXroute Max Profit
14199504 1 3037 1692 +1345 coinbase 0xb67eaa5e... BloXroute Max Profit
14199665 6 3121 1776 +1345 whale_0x8ebd 0x8527d16c... Ultra Sound
14201256 6 3121 1776 +1345 whale_0x8ebd 0xb7c5e609... BloXroute Max Profit
14197670 1 3036 1692 +1344 kiln 0x850b00e0... Flashbots
14199019 8 3153 1810 +1343 p2porg 0xb67eaa5e... BloXroute Regulated
14201282 0 3018 1675 +1343 whale_0x8ebd 0x857b0038... BloXroute Max Profit
14201146 0 3018 1675 +1343 coinbase 0xb67eaa5e... BloXroute Max Profit
14197954 12 3220 1878 +1342 blockdaemon 0x8527d16c... Ultra Sound
14198395 5 3101 1760 +1341 coinbase 0xb67eaa5e... BloXroute Max Profit
14199352 2 3049 1709 +1340 whale_0xedc6 0x856b0004... Ultra Sound
14197462 5 3099 1760 +1339 kiln 0xb67eaa5e... BloXroute Max Profit
14198065 5 3099 1760 +1339 0xb26f9666... BloXroute Max Profit
14195579 0 3014 1675 +1339 solo_stakers 0x856b0004... BloXroute Max Profit
14197269 2 3047 1709 +1338 whale_0x8ebd 0xb26f9666... BloXroute Regulated
14195513 0 3012 1675 +1337 kiln 0xb67eaa5e... BloXroute Regulated
14201156 0 3012 1675 +1337 everstake 0x9129eeb4... Ultra Sound
14196757 5 3096 1760 +1336 p2porg 0xb26f9666... Titan Relay
14198035 5 3096 1760 +1336 kiln 0x88a53ec4... BloXroute Regulated
14200478 0 3011 1675 +1336 p2porg 0x8527d16c... Ultra Sound
14200955 0 3011 1675 +1336 kiln 0x8527d16c... Ultra Sound
14195582 3 3060 1726 +1334 coinbase 0x8db2a99d... Ultra Sound
14195590 0 3008 1675 +1333 0x8527d16c... Ultra Sound
14194914 1 3024 1692 +1332 p2porg 0xb5a65d00... Ultra Sound
14194840 1 3024 1692 +1332 whale_0x8ebd 0xb26f9666... BloXroute Max Profit
14200643 0 3007 1675 +1332 p2porg 0xb67eaa5e... BloXroute Max Profit
14198449 6 3108 1776 +1332 gateway.fmas_lido 0x850b00e0... BloXroute Max Profit
14197728 0 3006 1675 +1331 blockdaemon_lido 0x856b0004... Ultra Sound
14195376 12 3208 1878 +1330 whale_0x6ddb 0x850b00e0... Ultra Sound
14200326 3 3056 1726 +1330 whale_0xedc6 0x823e0146... BloXroute Max Profit
14201249 0 3005 1675 +1330 everstake 0xb67eaa5e... BloXroute Max Profit
14197637 0 3005 1675 +1330 stader 0xb26f9666... BloXroute Max Profit
14195667 1 3021 1692 +1329 whale_0x8ebd 0xb26f9666... Titan Relay
14199264 0 3004 1675 +1329 whale_0x8ebd 0x856b0004... Ultra Sound
14200014 5 3088 1760 +1328 whale_0x8ebd 0xb26f9666... BloXroute Regulated
14194867 0 3003 1675 +1328 0x85fb0503... Aestus
14196569 6 3104 1776 +1328 coinbase 0x88a53ec4... BloXroute Regulated
14197223 0 3001 1675 +1326 whale_0x8ebd 0xb67eaa5e... Ultra Sound
14196774 6 3101 1776 +1325 p2porg 0x853b0078... Titan Relay
14198310 5 3084 1760 +1324 coinbase 0xb67eaa5e... BloXroute Regulated
14196029 1 3016 1692 +1324 coinbase 0x88857150... Ultra Sound
14198850 0 2998 1675 +1323 everstake 0xb26f9666... Titan Relay
14200729 6 3099 1776 +1323 figment 0x853b0078... Ultra Sound
14195555 0 2997 1675 +1322 kiln 0x856b0004... Ultra Sound
14198847 6 3098 1776 +1322 p2porg 0xb26f9666... Titan Relay
14195374 6 3098 1776 +1322 whale_0x8ebd 0x8527d16c... Ultra Sound
14197028 5 3081 1760 +1321 p2porg 0x853b0078... BloXroute Regulated
14196651 2 3030 1709 +1321 kiln 0xb26f9666... Titan Relay
14198459 5 3080 1760 +1320 coinbase 0xb26f9666... BloXroute Regulated
14199477 2 3029 1709 +1320 kiln 0xb26f9666... Titan Relay
14198631 6 3095 1776 +1319 coinbase 0xb26f9666... BloXroute Regulated
14199981 3 3044 1726 +1318 whale_0xedc6 0xb26f9666... BloXroute Max Profit
14201222 6 3093 1776 +1317 whale_0x8ebd 0xb26f9666... Titan Relay
14195672 3 3042 1726 +1316 whale_0x8ebd 0xac23f8cc... Titan Relay
14195184 1 3008 1692 +1316 kiln 0xb4ce6162... Ultra Sound
14201977 0 2991 1675 +1316 coinbase 0x8db2a99d... Flashbots
14195505 2 3023 1709 +1314 coinbase 0x85fb0503... Aestus
14195217 2 3023 1709 +1314 kiln 0x88a53ec4... BloXroute Max Profit
14195527 1 3006 1692 +1314 coinbase 0xb26f9666... Titan Relay
14196488 0 2989 1675 +1314 whale_0x8ebd 0x8527d16c... Ultra Sound
14195914 6 3089 1776 +1313 coinbase 0xb26f9666... Titan Relay
14197320 5 3072 1760 +1312 0xb67eaa5e... BloXroute Max Profit
14196485 5 3072 1760 +1312 p2porg 0x85fb0503... Ultra Sound
14196073 1 3004 1692 +1312 kiln 0x856b0004... BloXroute Max Profit
14196766 0 2987 1675 +1312 coinbase 0xb67eaa5e... BloXroute Max Profit
14201053 0 2986 1675 +1311 kiln 0x8db2a99d... Titan Relay
14196002 5 3070 1760 +1310 coinbase 0x853b0078... BloXroute Max Profit
14197695 2 3019 1709 +1310 everstake 0xb26f9666... Aestus
14196317 0 2985 1675 +1310 everstake 0x85fb0503... Aestus
14195149 5 3069 1760 +1309 whale_0x8ebd 0xb67eaa5e... Ultra Sound
14195583 6 3085 1776 +1309 whale_0x8ebd 0xb26f9666... Titan Relay
14196820 5 3068 1760 +1308 p2porg 0x88a53ec4... Aestus
14197829 0 2983 1675 +1308 coinbase 0x8527d16c... Ultra Sound
14196442 2 3015 1709 +1306 coinbase 0xb26f9666... Titan Relay
Total anomalies: 323

Anomalies by relay

Which relays produce the most propagation anomalies?

Show code
if n_anomalies > 0:
    # Count anomalies by relay
    relay_counts = df_outliers["relay"].value_counts().reset_index()
    relay_counts.columns = ["relay", "anomaly_count"]
    
    # Get total blocks per relay for context
    df_anomaly["relay"] = df_anomaly["winning_relays"].apply(lambda x: x[0] if len(x) > 0 else "Local")
    total_by_relay = df_anomaly.groupby("relay").size().reset_index(name="total_blocks")
    
    relay_counts = relay_counts.merge(total_by_relay, on="relay")
    relay_counts["anomaly_rate"] = relay_counts["anomaly_count"] / relay_counts["total_blocks"] * 100
    relay_counts = relay_counts.sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=relay_counts["relay"],
        x=relay_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=relay_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([relay_counts["total_blocks"], relay_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=350,
    )
    fig.show(config={"responsive": True})

Anomalies by proposer entity

Which proposer entities produce the most propagation anomalies?

Show code
if n_anomalies > 0:
    # Count anomalies by proposer entity
    proposer_counts = df_outliers["proposer"].value_counts().reset_index()
    proposer_counts.columns = ["proposer", "anomaly_count"]
    
    # Get total blocks per proposer for context
    df_anomaly["proposer"] = df_anomaly["proposer_entity"].fillna("Unknown")
    total_by_proposer = df_anomaly.groupby("proposer").size().reset_index(name="total_blocks")
    
    proposer_counts = proposer_counts.merge(total_by_proposer, on="proposer")
    proposer_counts["anomaly_rate"] = proposer_counts["anomaly_count"] / proposer_counts["total_blocks"] * 100
    
    # Show top 15 by anomaly count
    proposer_counts = proposer_counts.nlargest(15, "anomaly_rate").sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=proposer_counts["proposer"],
        x=proposer_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=proposer_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([proposer_counts["total_blocks"], proposer_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=450,
    )
    fig.show(config={"responsive": True})

Anomalies by builder

Which builders produce the most propagation anomalies? (Truncated pubkeys shown for MEV blocks)

Show code
if n_anomalies > 0:
    # Count anomalies by builder
    builder_counts = df_outliers["builder"].value_counts().reset_index()
    builder_counts.columns = ["builder", "anomaly_count"]
    
    # Get total blocks per builder for context
    df_anomaly["builder"] = df_anomaly["winning_builder"].apply(
        lambda x: f"{x[:10]}..." if pd.notna(x) and x else "Local"
    )
    total_by_builder = df_anomaly.groupby("builder").size().reset_index(name="total_blocks")
    
    builder_counts = builder_counts.merge(total_by_builder, on="builder")
    builder_counts["anomaly_rate"] = builder_counts["anomaly_count"] / builder_counts["total_blocks"] * 100
    
    # Show top 15 by anomaly count
    builder_counts = builder_counts.nlargest(15, "anomaly_rate").sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=builder_counts["builder"],
        x=builder_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=builder_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([builder_counts["total_blocks"], builder_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=450,
    )
    fig.show(config={"responsive": True})

Anomalies by blob count

Are anomalies more common at certain blob counts?

Show code
if n_anomalies > 0:
    # Count anomalies by blob count
    blob_anomalies = df_outliers.groupby("blob_count").size().reset_index(name="anomaly_count")
    blob_total = df_anomaly.groupby("blob_count").size().reset_index(name="total_blocks")
    
    blob_stats = blob_total.merge(blob_anomalies, on="blob_count", how="left").fillna(0)
    blob_stats["anomaly_count"] = blob_stats["anomaly_count"].astype(int)
    blob_stats["anomaly_rate"] = blob_stats["anomaly_count"] / blob_stats["total_blocks"] * 100
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        x=blob_stats["blob_count"],
        y=blob_stats["anomaly_count"],
        marker_color="#e74c3c",
        hovertemplate="<b>%{x} blobs</b><br>Anomalies: %{y}<br>Total: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([blob_stats["total_blocks"], blob_stats["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=60, r=30, t=30, b=60),
        xaxis=dict(title="Blob count", dtick=1),
        yaxis=dict(title="Number of anomalies"),
        height=350,
    )
    fig.show(config={"responsive": True})