{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HDHUEX6I2ARVMJWS7RNSG6QPCV","short_pith_number":"pith:HDHUEX6I","schema_version":"1.0","canonical_sha256":"38cf425fc8d0235626d2fc5b237a0f15755fd9855e1fd6081c02d23df7daefd0","source":{"kind":"arxiv","id":"1412.6633","version":1},"attestation_state":"computed","paper":{"title":"On a perturbation determinant for accumulative operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Anna Skripka, Konstantin A. Makarov, Maxim Zinchenko","submitted_at":"2014-12-20T08:20:39Z","abstract_excerpt":"For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1412.6633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-12-20T08:20:39Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f731c9efc073c1760e8043e1a82ddef907bcc82cd64e0dc8bd7688eb2f681ae9","abstract_canon_sha256":"bf6c68b22df0d05532812a46a08131fa21b9c59ef7ee5e9aa6f1a93fd21cac80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:46.537487Z","signature_b64":"hivEKwVHlRglpoRxrOXNHTi3FVUmGkqAG2e0SjWNHVAENeVEmMjOplCaD3dpgRH374ROd9I1QH3qL7m81DBIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38cf425fc8d0235626d2fc5b237a0f15755fd9855e1fd6081c02d23df7daefd0","last_reissued_at":"2026-05-18T02:30:46.537057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:46.537057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a perturbation determinant for accumulative operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Anna Skripka, Konstantin A. Makarov, Maxim Zinchenko","submitted_at":"2014-12-20T08:20:39Z","abstract_excerpt":"For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6633","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.6633","created_at":"2026-05-18T02:30:46.537113+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.6633v1","created_at":"2026-05-18T02:30:46.537113+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6633","created_at":"2026-05-18T02:30:46.537113+00:00"},{"alias_kind":"pith_short_12","alias_value":"HDHUEX6I2ARV","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HDHUEX6I2ARVMJWS","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HDHUEX6I","created_at":"2026-05-18T12:28:30.664211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV","json":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV.json","graph_json":"https://pith.science/api/pith-number/HDHUEX6I2ARVMJWS7RNSG6QPCV/graph.json","events_json":"https://pith.science/api/pith-number/HDHUEX6I2ARVMJWS7RNSG6QPCV/events.json","paper":"https://pith.science/paper/HDHUEX6I"},"agent_actions":{"view_html":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV","download_json":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV.json","view_paper":"https://pith.science/paper/HDHUEX6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.6633&json=true","fetch_graph":"https://pith.science/api/pith-number/HDHUEX6I2ARVMJWS7RNSG6QPCV/graph.json","fetch_events":"https://pith.science/api/pith-number/HDHUEX6I2ARVMJWS7RNSG6QPCV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV/action/storage_attestation","attest_author":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV/action/author_attestation","sign_citation":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV/action/citation_signature","submit_replication":"https://pith.science/pith/HDHUEX6I2ARVMJWS7RNSG6QPCV/action/replication_record"}},"created_at":"2026-05-18T02:30:46.537113+00:00","updated_at":"2026-05-18T02:30:46.537113+00:00"}