{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UURCO6YM7Y2GRQPJEVAAOSPHZJ","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":"0487a7002d4d4c8a1f960185f536b644248db03dfa0070cd5e73edb3364a3842","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-03-09T21:19:27Z","title_canon_sha256":"32d1d5268789fa20d9dd15f0cb4ad8318401da61194c6d1fdd3ca1b7d3a990cb"},"schema_version":"1.0","source":{"id":"2503.06780","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.06780","created_at":"2026-07-05T11:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"2503.06780v3","created_at":"2026-07-05T11:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.06780","created_at":"2026-07-05T11:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"UURCO6YM7Y2G","created_at":"2026-07-05T11:54:45Z"},{"alias_kind":"pith_short_16","alias_value":"UURCO6YM7Y2GRQPJ","created_at":"2026-07-05T11:54:45Z"},{"alias_kind":"pith_short_8","alias_value":"UURCO6YM","created_at":"2026-07-05T11:54:45Z"}],"graph_snapshots":[{"event_id":"sha256:72bc5aa6e01b4d9a65a78d74f6abdd5784b45ea57cad07a902da2f279767e668","target":"graph","created_at":"2026-07-05T11:54:45Z","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/2503.06780/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"New non-perturbative results on the eigenvalues of the spheroidal equation are presented. The results, found using an all orders WKB analysis, include a perturbative/non-perturbative (P/NP) relation as well as the first exponential correction to the perturbative series which is valid in certain regions of parameters. The quantum periods are also computed.","authors_text":"Max Meynig","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-03-09T21:19:27Z","title":"Non-perturbative asymptotics of the eigenvalues of the spheroidal equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.06780","kind":"arxiv","version":3},"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":"sha256:16d7558adcf3abfe352fa06ba82ab4f886e8eeb9fcc8d0aad0fd431137a84616","target":"record","created_at":"2026-07-05T11:54:45Z","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":"0487a7002d4d4c8a1f960185f536b644248db03dfa0070cd5e73edb3364a3842","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-03-09T21:19:27Z","title_canon_sha256":"32d1d5268789fa20d9dd15f0cb4ad8318401da61194c6d1fdd3ca1b7d3a990cb"},"schema_version":"1.0","source":{"id":"2503.06780","kind":"arxiv","version":3}},"canonical_sha256":"a522277b0cfe3468c1e925400749e7ca5543547813494a175c7e0ed21c461d90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a522277b0cfe3468c1e925400749e7ca5543547813494a175c7e0ed21c461d90","first_computed_at":"2026-07-05T11:54:45.038962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:54:45.038962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QN73DyBp8OiSFVOqjfn82XTGzMVNcglegniahqYoRY79gjNxv0H+KosbVF3PsESHKjkGttUUBd3Ii551JjhSAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:54:45.039436Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.06780","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16d7558adcf3abfe352fa06ba82ab4f886e8eeb9fcc8d0aad0fd431137a84616","sha256:72bc5aa6e01b4d9a65a78d74f6abdd5784b45ea57cad07a902da2f279767e668"],"state_sha256":"71e272d9010c1c3a1c395962c6266a5e3955f0850012fa8ef945da4b1affbe3a"}