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family gate: 6.13 names the signing object's column (era edc4fa84) after the hash lane's 22:00 ruling

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Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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igneum-labs 2026-10-08 21:15:26 +00:00
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docs/analysis/class-v6/family-gate.md
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@ -393,7 +393,7 @@ The pairing, read back (the igneum-pow CLI built from the 1a938abe4 tree on buil
| The per-site index-bit read (the bit-R class of 6.2 and 6.12: 21.4 percent of width-4 eras over 6 sigma at one site, 74 percent of those at bit R) | width 4: bit 12 = R at site 2, window 1, z = minus 18.33: the chain's program at this era IS in the bit-R class, in the 6-to-100 sigma band (not the minus 512 mechanism of 6.2; the fold is on); width 1: bit 18, z = minus 3.40, clean | width 4: bit 4 at site 1, z = +3.82, clean of the class; width 1: bit 20, z = minus 3.39, clean |
| attack-f8, program 0 at 2^20 nonces, the mirror-valid subset `mx8+sh256x27+rw` (the fold, reg64c and state are the kernel path's, as in 6.12) | 6-sigma windowed clear, hot set clear, hottest item 34 reads of 2^20 (0.0000 percent), verdict PASS; lines per hash 1014 to 1024 of 1024 (925,106 nonces at 1024), items per hash 127 or 128 (494 at 127); `logs/f8-chainseed.log`, `logs/f8-chainseed-distinct.txt`, `logs/f8-chainseed-positions.txt` | 6-sigma windowed clear, hot set clear, verdict PASS; lines per hash 1014 to 1024 (925,441 at 1024), items per hash 127 or 128 (590 at 127); `logs/f8-chainseed-gen.log`, `logs/f8-chainseed-gen-distinct.txt`, `logs/f8-chainseed-gen-positions.txt` |
VERDICT (21:5x BST, to the node lane, the steward and the coordinator; the mirror's sha of this landing is read back before any line says so): PASS on the acceptance's side for the chain's program at 1a938abe4 under BOTH era inputs, under the full rule and under the crate's own predicate (which agree row for row): accepted at attempt 0 at both widths, every acceptance part 0, the (c''') ratio 0.9999 against the 0.995 floor, no bucket at the +8 line, no hot set and nothing over the 6-sigma window on the mirror-valid subset at 2^20. The one reading that differs between the inputs and is NOT an acceptance part: at width 4 the input-A program (era 0:af89be5d) sits in the bit-R class (bit 12 at site 2, 18 sigma), which 6.12 measured in 21 percent of width-4 eras on this tree and which the rule does not test; the input-B program (era 0:edc4fa84) is clean of it. If the engine's era input is A, the genesis program carries that known class at the measured level and the lane's standing line on it holds (the fold halves the class and leaves half; a per-era test on the index bits is the ring-B item the rule does not yet have); if B, it does not. The node lane's read of the live node's program-id line decides which column is the chain's.
VERDICT (21:5x BST, to the node lane, the steward and the coordinator; the mirror's sha of this landing is read back before any line says so): PASS on the acceptance's side for the chain's program at 1a938abe4 under BOTH era inputs, under the full rule and under the crate's own predicate (which agree row for row): accepted at attempt 0 at both widths, every acceptance part 0, the (c''') ratio 0.9999 against the 0.995 floor, no bucket at the +8 line, no hot set and nothing over the 6-sigma window on the mirror-valid subset at 2^20. The one reading that differs between the inputs and is NOT an acceptance part: at width 4 the input-A program (era 0:af89be5d) sits in the bit-R class (bit 12 at site 2, 18 sigma), which 6.12 measured in 21 percent of width-4 eras on this tree and which the rule does not test; the input-B program (era 0:edc4fa84) is clean of it. If the engine's era input is A, the genesis program carries that known class at the measured level and the lane's standing line on it holds (the fold halves the class and leaves half; a per-era test on the index bits is the ring-B item the rule does not yet have); if B, it does not. RULING (the hash lane, 22:00 BST, closed by the coordinator; relayed by the node lane 22:1x): F0's pairing id is 2a1d6caab4c24564 on (epoch af89be5d, era edc4fa84, day 20730, node1 state abb58003), so input B's column is the signing object's and its verdict is the one that binds: PASS, clean of the bit-R class. Input A's era is the block hash used as the era, a different input and void for F0; its column stays landed as the pack hl-v6-all-chainseed's reproduction (442a1691b3e3507f read back equal) and the bit-R observation is recorded against that program only, not against the signing object.
## 7. The 16:30 BST report (the founder's clock, pulled from 09:00; a partial carries its count)
@ -407,7 +407,7 @@ VERDICT (21:5x BST, to the node lane, the steward and the coordinator; the mirro
8. DONE 19:0x BST, section 6.10: the hash lane's layer-8-off draw (`+nowin`, class-v6 542cd7028) through the acceptance against the same-crate windowed control: PASS, the draw a third cheaper and the width-4 floor cost down from 13 to 2 percent of reaching candidates, 0 hot sets at 2^20, the bit-R mechanism unchanged (the fold the lever).
9. DONE 20:1x BST, section 6.11: the post-review object (class-v6 04442d9ca, the full class string) through the acceptance: PASS under the full rule; the second predicate finding (a width-4 class is not the class v4 shape to the crate's own predicate because of `mix`, so the chain's path runs the v2 parts only), a freeze condition; the registry batch `tools/ci/batches/family-gate-20261008.json` maps the harness to POW-02, ROT-07 and ROT-08 as partial coverage.
10. DONE 21:1x BST, section 6.12: the final tree (class-v6 ac86d7910, the packs' draw read back equal on both ids) through the acceptance under both predicates, which agree: PASS; the registry batches `tools/ci/batches/family-gate-20261008.json` (the CI steward's landing of the cell) and `family-gate-20261008b.json` (this landing, so the rows move with their evidence) at manifest ac86d7910, method native, status NOT RUN in the registry's vocabulary (partial coverage).
11. DONE 21:5x BST, section 6.13: the chain-seed draw at 1a938abe4 (the program the chain runs, read back at both era inputs in circulation: 442a1691b3e3507f at era 0:af89be5d, 2a1d6caab4c24564 at era 0:edc4fa84) through the acceptance under both predicates at widths 4 and 1 and through attack-f8 on the mirror-valid subset: PASS under both inputs; the bit-R read differs (input A in the class at width 4, input B clean); the node lane's read of the live node decides the column.
11. DONE 21:5x BST, section 6.13: the chain-seed draw at 1a938abe4 (the program the chain runs, read back at both era inputs in circulation: 442a1691b3e3507f at era 0:af89be5d, 2a1d6caab4c24564 at era 0:edc4fa84) through the acceptance under both predicates at widths 4 and 1 and through attack-f8 on the mirror-valid subset: PASS under both inputs; by the hash lane's 22:00 ruling the era-0:edc4fa84 column (2a1d6caab4c24564, clean of the bit-R class) is the signing object's, and the era-0:af89be5d column is the pack's reproduction (the block hash used as the era, void for F0), where alone the bit-R read sits.
11. Not in this report: the mixer ladder re-run at m = 4 and 16 (adv-mixer-3's harness rows; the per-family rows of section 4), the F8 census at D = 29 (the stand-in gap row), the 10^5-program verifier census at the top corner (F6 per family): each a named per-family row with its hours in section 4.1.
## 8. Sources