{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TPUJBXI6I2SMFHBRBZFVMA4RL6","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":"729e84d9586ddc521e5b94782483254729ef7ce3e14f857fd547c4b8ca939d7b","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-06T07:07:39Z","title_canon_sha256":"32bee142b1f5ad4d01fc6424a93d8846f55a192fb90cbcb386dcfd7ac28f7ed4"},"schema_version":"1.0","source":{"id":"1605.01842","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01842","created_at":"2026-05-18T01:15:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01842v1","created_at":"2026-05-18T01:15:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01842","created_at":"2026-05-18T01:15:31Z"},{"alias_kind":"pith_short_12","alias_value":"TPUJBXI6I2SM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TPUJBXI6I2SMFHBR","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TPUJBXI6","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:9a7d84bf9d9020d20bf296eab0945ba1afe7760929684f46121cd83c1e2888d7","target":"graph","created_at":"2026-05-18T01:15:31Z","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"},"paper":{"abstract_excerpt":"We consider resonances for third order ordinary differential operator with compactly supported coefficients on the real line. Resonance are defined as zeros of a Fredholm determinant on a non-physical sheet of three sheeted Riemann surface. We determine upper bounds of the number of resonances in complex discs at large radius. We express the trace formula in terms of resonances only.","authors_text":"Evgeny Korotyaev","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-06T07:07:39Z","title":"Resonances of third order differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01842","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:b33f328f94f2736d8552c58a3b3f8e9cc67bfc1bda3c37b5d3875b85ae8e18f6","target":"record","created_at":"2026-05-18T01:15:31Z","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":"729e84d9586ddc521e5b94782483254729ef7ce3e14f857fd547c4b8ca939d7b","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-06T07:07:39Z","title_canon_sha256":"32bee142b1f5ad4d01fc6424a93d8846f55a192fb90cbcb386dcfd7ac28f7ed4"},"schema_version":"1.0","source":{"id":"1605.01842","kind":"arxiv","version":1}},"canonical_sha256":"9be890dd1e46a4c29c310e4b5603915f84bb9ded99a028fc246d27d4e4fb1649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9be890dd1e46a4c29c310e4b5603915f84bb9ded99a028fc246d27d4e4fb1649","first_computed_at":"2026-05-18T01:15:31.178273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:31.178273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iqmnIKv2sR0o4zKapsDU72OWXBXkWCOJQP8IZ8DtE3YAebr469P2et4HV/kyvOl3rhypHzfidw0mfXPpiCZzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:31.178913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01842","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b33f328f94f2736d8552c58a3b3f8e9cc67bfc1bda3c37b5d3875b85ae8e18f6","sha256:9a7d84bf9d9020d20bf296eab0945ba1afe7760929684f46121cd83c1e2888d7"],"state_sha256":"a9d48b8a0776ba63bab3bbac21efe9b1c8dbd65c8930aa790576ff8d22c67abf"}