Source and influence ledger
Checked 8 September 2026. Novelty unassessed; no priority claim.
| Source | Role | Boundary |
|---|---|---|
| NIST DLMF 17.5.1, Euler’s second sum | Established quantum-dilogarithm coefficients used for the half-space seed. | The seed is not presented as a new special function. The required adjoint recurrence is proved directly. |
| Garoufalidis, The 3D index of an ideal triangulation and angle structures, arXiv:1208.1663v2, 7 October 2015 | Definition 3.1 separates the two recurrences; Theorem 3.2 explains the rank-two comparison space. Equation (1.2) is the defining series reindexed in (11). | That theorem is about functions satisfying both recurrences. It does not characterize the dual of our one-sided tetrahedron module. No new solution of its rank-two classification is claimed. |
| Garoufalidis–Zagier, Asymptotics of Nahm sums at roots of unity | Intellectual influence and established context for the Neumann–Zagier/Nahm translation. | None of its asymptotic or modularity results is a proof dependency. |
| FPRD global meridian index detector | Prior full-image averaging method and exact mixed-sided target. | This note replaces the local seed and proves its own convergence criterion. |
| FPRD actual-incidence two-angle theorem | Raw native phases, complete angular convention, and retained earlier nonvanishing region. | No new actual region is claimed without certifying the new hypotheses on actual data. |
| FPRD native collar and peripheral bridge | Named-target conventions and inherited filling-vacuum identification, with the earlier reconstruction packet. | All earlier generic-parameter and comparison assumptions remain. |
| FPRD peripheral projection | Motivation for leaving the balanced two-recurrence index family. | Its odd value remains unresolved; no independent-cusp inversion assertion is added. |
The explicit local coefficient identity is classical. The intended contribution is the exact all-input cone criterion and its use for a native mixed-sided detector, followed by a conditional vacuum certificate. Whether that synthesis is new externally has not been established.