A targeted literature search across arXiv and web sources found the Cohn-Elkies LP certificate route untouched and live for one-dimensional pair sums with positive-part targets, but standard bibliographic databases (MathSciNet, zbMATH, Google Scholar, ontology/knownness.py) were omitted, and in dimension 1 the equidistant lattice ground-state property is not guaranteed outside completely monotone potentials.
hunts/support_78c499b4 (Record 87 of 98 in chronological sequence)
Guiding Question
Has a Cohn-Elkies / Delsarte linear-programming certificate been applied to a one-dimensional pair sum with positive-part band-limited shape, and does a published theorem settle whether the LP value equals the lattice value in dimension 1?
Method & Verification
Executed nine targeted web queries and resolved 14 arXiv preprints via Atom API without querying MathSciNet, zbMATH, Google Scholar, or ontology/knownness.py, identifying Rupert Li discrete-reduction dual bounds as the relevant transfer method.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
Case-log status is settled as far as a literature question can be settled in one search pass; disposition is qualified to reflect search scope boundaries (MathSciNet, zbMATH, Google Scholar, and ontology/knownness.py were not searched). Evidence grade is ordinary mathematical derivation for the structural deductions; no computation or measurement was performed in this directory.
Date Provenance
commit 00b90afa6a6bb8fd99efb4de15fcdb6e5d4c9f32, hunts/support_78c499b4/RESULTS.md, author 2026-08-25T08:46:55-05:00