Claim ledger

Completed scalar tests have a fixed-input sharp-width limit. & X-D@3, fixed-input release, lines 1445–1478. & The X-D fixed-input ramp family. & Completed scalar tests with the inputs held as declared. & Sharp-width limit; further order details unavailable. & Reported\ construction. & Joint sharp admission of a quantum metric kernel or a changed-input limit.

The held-fixed graviton defect of the one-tree observable is nonzero at ${\kappa }^2$. & X-E@1, release, lines 201–230; supplied account. & One matter tree; flat gauge fixing. Exact full action and inverse formula unavailable. & One-tree observable and held-fixed graviton comparison. & Tree calculation; defect at ${\kappa }^2$. & Reported\ nonzero defect. & Failure of every all-tree completion or an obstruction to every gauge choice.

Three trees in background de Donder gauge close the stated all-tree identity. & X-F@1, F6, lines 1269–1318; supplied account. & Background de Donder gauge; three trees. & Declared X-F all-tree domain. & ${\hslash }^0$; precise coupling boundary is not recoverable from the truncated supplied sentence. & Reported\ closure with an unresolved order citation. & An unrestricted BRST theorem, higher-order closure, or a one-loop coefficient.

The unrestricted classical master equation is obstructed, while a relative action identity is available. & Coverage account for XIV-A; no complete proof excerpt. & Reported frozen cubic data; fixed backgrounds. & Unrestricted ghosts versus ghosts supported where both backgrounds are trivial. & Classical; precise coupling truncation unavailable. & Reported\ domain-dependent result. & Observable closure, unrestricted fixed-background covariance, or a quantum differential.

The relative complex does not induce the claimed interacting differential on the unchanged free-shell carrier. & Coverage account for XIV-B; no complete proof excerpt. & Relative classical complex; positive-coupling gauge-fixed equations. & Compact relative ghosts and the separate free-shell carrier. & Classical; agreement only at order zero is reported. & Reported\ carrier separation. & That compact gauge parameters are nonzero homogeneous free ghost solutions, or that the free-shell equation ideal is unchanged.

The internal $K_5$ amplitude remains unresolved at H2. & XIV-H@1, thm:H2, lines 1539–1582. & Two internal placements with fixed retarded lines and smooth weights. & Untested internal kernels; internal characteristic transition. & Internal tree data, before quantum cross-line composition. & Copied input\ (source: unresolved at H2). & Nonexistence of every amplitude construction or admission of a quantum coefficient.

Both $K_5$ internal placements are defined by tensor-product pullback. & XIV-H@1, prop:K5exact, lines 1135–1202. & Products $R(b-a)R(a-z)$ and $R(b-z)R(z-a)$, then finite differential operations. & Internal distributions, including $a=z$. & Internal tree kernel; not the contracted quantum target. & Copied input\ (source: constructed). & A product with the quantum cross-lines on the characteristic locus.