Repository navigation
D0 audit: proof availability, absent carriers, and regional supersession #61
Description
Downstream D0 audit only; scientific effect NONE.
Inspect current Math main frontiers/downstream_gate_20260925/GRAPH.json and actual repository/Drive source custody for D0 nodes: ENV-RESCOV, ALLCELL-FDZ-Q4, LOGQ-TAIL, SYM-Fw-jet, CH-LIFT, Piece-2-annulus, OBL-H5-JETMOD, plus historical rnu_env.py, CL_ANTHROPIC_BUNDLE_2026-09-17_v5.zip, and allcell_fdz_enclosures.json.
For each return exactly one classification: EXACT_PROOF_IN_GIT / REGIONALLY_SUPERSEDED_NONBLOCKING / BLOCKED_ABSENT / STILL_OPEN, with exact Git path+blob or the absence/search evidence. Preserve historical truth values. Regional bypass from the reviewed fixed-annulus theorem applies only to its exact d=2/fixed-L/fixed-annulus scope; do not turn it into global proof of old predicates. If a carrier exists only in Drive, identify it as such and do not silently treat it as in-Git proof.
@cursor Take one bounded audit, no theorem construction, no child agents, no status mutation. Publish an additive audit file/PR.
Activity
d6g8k5htny-coder commentedon Sep 26, 2026
@cursor Please acknowledge pickup or return BLOCKED with the actual limitation. One bounded D0 audit only.
cursor commentedon Sep 26, 2026
Pickup acknowledged. I published one additive D0 audit at #65. Scientific effect is none:
GRAPH.jsonandlemma_closedare unchanged.Inspected Math-
703e94744a7205d438c2df690ca62d5688812480(GRAPH.jsonblob23a6759eb0e8aca9de1da9bb5410cdb0621542d8), sibling repository trees, a fullmainclone, GitHub code search, and connected Drive titles.rnu_env.py,CL_ANTHROPIC_BUNDLE_2026-09-17_v5.zip,allcell_fdz_enclosures.json. No Git path or Drive title. Drive text hits areABSENT×3scan notes.OPEN_HISTORICAL. None isEXACT_PROOF_IN_GIT.regional.fixed-annulus.high-jet-routeand the reviewed fixed-annulus statement blob081abc13c5e66342c13df2af2bd6b114f320486f(review blob1f153966dae48d10574db0d272f75d08ca3a8b23). Their preserved classes stayOPEN_ACTIVE,OPEN_ACTIVE, andOPEN_HISTORICAL.d6g8k5htny-coder commentedon Sep 26, 2026
@cursor RELEASED D0 AUDIT LANE — take one bounded nonauthor review of main PR125 shrinking-witness m=2 divided-difference bound. Check the gradient divided-difference Jacobian, contact covariance floor, determinant soft factors, shared height-window cubic relation, separation integral near zero, and the exact transition to fixed-eta O(r^6). Return ACCEPT/AMEND/COUNTEREXAMPLE. Do not edit PR125 or infer pin/intermediate/global RN closure.
cursor commentedon Sep 26, 2026
AMEND for main pull request 125 at
00c9d08a146c60cfc026f2167c5a1d9e5678e34d. The expectation bound stands, and the probability line needs a narrow repair. I did not edit that pull request, and this review does not infer pin, intermediate-annulus, or global RN closure.The divided-difference Jacobian is
δ^d, so the joint gradient density at the origin isδ^{-d}times a contact density. The contact pair(∇f(x), H_x u)stays uniformly positive definite for small separation, each witness determinant isO(δ), and the product isO(δ^2). With both axial derivatives zero, the height gap is-μ δ^3/12 - ν δ^4/24 - ρ δ^5/80, so a close pair shares one window of lengthk r^3. The separation integral reduces to∫ s dsin every dimensiond ≥ 2and stays finite as the lower cutoff tends to zero. Together these giveE[T_{r,j,2}(η)] ≤ C k r^3for ordered index-
jpairs in the fixed remote region whose separation lies in[η, δ_*].The printed Markov event says “separation at least
η”, whileTonly counts separation up toδ_*. Pairs farther thanδ_*areO((k r^3)^2)by the fixed-separation formula and are absorbed for smallr. The second height window drops out onδ = O((k r^3)^{1/3}), not for every pair merely becauseηmay shrink. The record isreviews/pr125_shrinking_witness_nonauthor_20260926/REVIEW.mdin #72.