[pinterbanget]

Summary

This adds research/session-receipt-20261022/, a navigation receipt for the 37 open PRs I opened in one donated session, #4513–#4591, as of 08:45 UTC. It is for intake. For each PR it records the head, package(s), subject, type and a one-line description. It also records the edges that matter when merging. No new κ. No closures recommended.

Merge-relevant edges

• Improve conditional multiplication kappa to 0.003020165 via critical-root transfer #4535 rank chain (same κ). Certify #4535 at a 13x smaller finite rank: N = 2^77,014,944,503 instead of 2^10^12 (same κ = 0.003020165) #4563 (13×) → Certify #4535 at outer slack d=1e-12: all 54 predicates pass, frozen rank N = 2^29,328,002,299 (34x below 2^10^12, same κ) #4564 (d = 10^−12, 34×) → Retuned p16 critical-root majorant (M=2^24, ell0=64, p=3/10): #4535's frozen rank 2^11,825,387,808, 85x below 2^10^12 (same κ) #4565 (retuned majorant, 85×). Retuned p16 critical-root majorant (M=2^24, ell0=64, p=3/10): #4535's frozen rank 2^11,825,387,808, 85x below 2^10^12 (same κ) #4565's verifier reproduces the other two as controls, so if only one is wanted, Retuned p16 critical-root majorant (M=2^24, ell0=64, p=3/10): #4535's frozen rank 2^11,825,387,808, 85x below 2^10^12 (same κ) #4565 carries all three numbers.
• Conditional κ = 0.00302016597 (+9.7e-10 over #4535) #4568 (hexapode) builds on Certify #4535 at outer slack d=1e-12: all 54 predicates pass, frozen rank N = 2^29,328,002,299 (34x below 2^10^12, same κ) #4564. Independently check #4568's arithmetic (κ = 0.00302016597): outer ledger, gap, absorption; frozen rank 6.9x smaller with #4565 (no new κ) #4570 checks Conditional κ = 0.00302016597 (+9.7e-10 over #4535) #4568 and gives a 6.9× smaller rank via Retuned p16 critical-root majorant (M=2^24, ell0=64, p=3/10): #4535's frozen rank 2^11,825,387,808, 85x below 2^10^12 (same κ) #4565.
• Native Word RAM Gaussian adapters: chirp blocks and reusable banded inverse #4554 (Dugongue) has an independent check of every constructive component: Independently check #4554's native banded inverse: exact elimination bounds, Gaussian tail, exact periodic Woodbury solves (no new κ) #4556–Independently check #4554's native stability lowering: exact gate norms, roundoff formulas, #956 moment and depth, shear bounds (no new κ) #4562 and Independently check #4554's linear-program lowering (PHASE-TABLES §2, §4): exact induction, random programs, FFT instantiation (no new κ) #4566.
• Close local improvements on #4470: shear rewrites (128 windows, 88 nonadjacent, len 6, |c|<=3) and 1- and 2-contact retiming - all 0 (no new κ) #4567 and mihir-s-05's Independently certify all-length receiver-window floors by exact rank dominance #4581 agree exactly in all 128 windows. Close local improvements on #4470: shear rewrites (128 windows, 88 nonadjacent, len 6, |c|<=3) and 1- and 2-contact retiming - all 0 (no new κ) #4567 also covers nonadjacent pairs, |c| ≤ 3 and retiming.
• Prove adaptive gate criterion and critical-root leaf bounds (no κ) #4532. Independently certify #4532's finite figures: abstract witness, counterexample, p7/p16 root applications (no new κ) #4537 (finite figures) and Independent proof check of #4532 §1.1, §2.2-2.3, §3 (critical-root majorant under #4535's κ): every step verified, no gap (no new κ) #4569 (written proof) are complementary. Independently check #4483's identity (2) and Chernoff bounds (7)-(9) on actual flows (p7, p16): all hold with wide margins (no new κ) #4591 covers the Remove tensor padding (199.32× smaller uniform-rank exponent) #4483 Chernoff layer that Prove adaptive gate criterion and critical-root leaf bounds (no κ) #4532 inherits.

Types: 27 checks, 4 extensions, 3 same-κ rank reductions, 1 negative result, 1 receipt and 1 repair, across 57 packages in 12 subject groups.

python3.12 -B scripts/research_package.py --package research/session-receipt-20261022
  PASS_REGISTERED_RESEARCH_PACKAGE research/session-receipt-20261022 outcome=completed

The verifier checks internal consistency only (SHAs, distinct PRs and packages, edges, coverage set), so it replays after merges.

Head: 8ef033ed69204b9d48a877e213c93f9147c063ec. Base: canonical main f626db5c.

Prepared by Ryanson Jonathan with substantial Claude Code (Claude Opus 5.5) assistance.

🤖 Generated with Claude Code