{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F6O5DK2IUWUKNFHTLZPELOQ4MZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4f40f8d9fb5cf84de0445b5fd74b0a7cd17114b6267157505b6810a8bbf9fce6","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:29:48Z","title_canon_sha256":"603101f42b47c2e91efbe70a6149572bcf251e001cb9b3dd217c88855f25733d"},"schema_version":"1.0","source":{"id":"2606.24497","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24497","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24497v1","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24497","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"F6O5DK2IUWUK","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_16","alias_value":"F6O5DK2IUWUKNFHT","created_at":"2026-06-24T01:15:32Z"},{"alias_kind":"pith_short_8","alias_value":"F6O5DK2I","created_at":"2026-06-24T01:15:32Z"}],"graph_snapshots":[{"event_id":"sha256:4d84295c128ac65a8e32ddb00403ec7dca8fa66dbde6a1fe40aef0dbbaf0c482","target":"graph","created_at":"2026-06-24T01:15:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.24497/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"\"Colored\" knot polynomials satisfy difference equation w.r.t. the highest weights of the underlying representation -- which in the case of symmetrically colored Jones are named \"quantum $A$-polynomials\". In the double scaling quasiclassical (Kashaev) limit, when representation size $r\\sim \\hbar^{-1}$, there are different phases -- in one of them the classical action vanishes and in another one it is a deformation of hyperbolic volume (of a knot complement in $S^3$). This corresponds to a splitting of the non-homogeneous version of the quantum $A$-polynomial into two pieces, which we illustrate","authors_text":"A.Morozov","cross_cats":["math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:29:48Z","title":"More on Kashaev limits of the quantum $A$-polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24497","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a0974209cd43780daa82714cd13bd2c467499ab171864640078ad6834ae438c2","target":"record","created_at":"2026-06-24T01:15:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4f40f8d9fb5cf84de0445b5fd74b0a7cd17114b6267157505b6810a8bbf9fce6","cross_cats_sorted":["math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-23T12:29:48Z","title_canon_sha256":"603101f42b47c2e91efbe70a6149572bcf251e001cb9b3dd217c88855f25733d"},"schema_version":"1.0","source":{"id":"2606.24497","kind":"arxiv","version":1}},"canonical_sha256":"2f9dd1ab48a5a8a694f35e5e45ba1c6678e356d1f08e7fc71de5f439017fc0f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f9dd1ab48a5a8a694f35e5e45ba1c6678e356d1f08e7fc71de5f439017fc0f5","first_computed_at":"2026-06-24T01:15:32.185121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:32.185121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uj2Ifu1+8KhvjSQ5s4fYs0xm0IJ1EWUGZb1VFF0SvZV7Pk7FJzAH3gmp0mLjDHpRR+WjkED5QpOOaF5n15FqBw==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:32.185470Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24497","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0974209cd43780daa82714cd13bd2c467499ab171864640078ad6834ae438c2","sha256:4d84295c128ac65a8e32ddb00403ec7dca8fa66dbde6a1fe40aef0dbbaf0c482"],"state_sha256":"20dcf5b7403ecca9380a4c76ed0275b3c02633def9ad1a21bc8e22e3d7ff2cc5"}