{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K2A3JMOHSVQKBGLX4Y5X47ILAY","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":"ad71f700f09a484155f12d5c3e4db6a973c4e2c789427483241fda17828a3091","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-08-22T16:55:49Z","title_canon_sha256":"cd35698bb1ea013f0ce0fa08db10133ed89453cd9136075a678bece36bfa7902"},"schema_version":"1.0","source":{"id":"1908.08491","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08491","created_at":"2026-07-05T00:18:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08491v3","created_at":"2026-07-05T00:18:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08491","created_at":"2026-07-05T00:18:09Z"},{"alias_kind":"pith_short_12","alias_value":"K2A3JMOHSVQK","created_at":"2026-07-05T00:18:09Z"},{"alias_kind":"pith_short_16","alias_value":"K2A3JMOHSVQKBGLX","created_at":"2026-07-05T00:18:09Z"},{"alias_kind":"pith_short_8","alias_value":"K2A3JMOH","created_at":"2026-07-05T00:18:09Z"}],"graph_snapshots":[{"event_id":"sha256:1cdb96cb4c7b35269cce12f980222f55e82082489595e534cf573cca2fd3ce44","target":"graph","created_at":"2026-07-05T00:18:09Z","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/1908.08491/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper deals with a three-parameter family of special double confluent Heun equations that was introduced and studied by V.M.Buchstaber and S.I.Tertychnyi as an equivalent presentation of a model of overdamped Josephson junction in superconductivity. The parameters are $l,\\lambda,\\mu\\in\\mathbb R$. Buchstaber and Tertychnyi described those parameter values, for which the corresponding equation has a polynomial solution. They have shown that for $\\mu\\neq0$ this happens exactly when $l\\in\\mathbb N$ and the parameters $(\\lambda,\\mu)$ lie on an algebraic curve $\\Gamma_l\\subset\\mathbb C^2_{(\\lamb","authors_text":"Alexey Glutsyuk, Igor Netay","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-08-22T16:55:49Z","title":"On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08491","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":"sha256:1c07268a699c3be827975ee82a72f88e89ff3f4c3f1c36964c3f85a99f1d44fa","target":"record","created_at":"2026-07-05T00:18:09Z","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":"ad71f700f09a484155f12d5c3e4db6a973c4e2c789427483241fda17828a3091","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-08-22T16:55:49Z","title_canon_sha256":"cd35698bb1ea013f0ce0fa08db10133ed89453cd9136075a678bece36bfa7902"},"schema_version":"1.0","source":{"id":"1908.08491","kind":"arxiv","version":3}},"canonical_sha256":"5681b4b1c79560a09977e63b7e7d0b062b4e48b05a003ebb63a807c7fabce29b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5681b4b1c79560a09977e63b7e7d0b062b4e48b05a003ebb63a807c7fabce29b","first_computed_at":"2026-07-05T00:18:09.855764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:18:09.855764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"peddBloAF9voKA9z1QUMZb3VkKnfUOzuiYFZAtHE3gKzLsbD5YCdsXUr2mBoSsPKTF5iokOzX++QKtkTJ3wyDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:18:09.856171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08491","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c07268a699c3be827975ee82a72f88e89ff3f4c3f1c36964c3f85a99f1d44fa","sha256:1cdb96cb4c7b35269cce12f980222f55e82082489595e534cf573cca2fd3ce44"],"state_sha256":"13ac94e86a78d0e5b3512160ddb33851ba67ad8f9e626df7bd59dff00d2f5a8e"}