{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:372JGQJC4T5OV4EULJTZ4TJEGD","short_pith_number":"pith:372JGQJC","schema_version":"1.0","canonical_sha256":"dff4934122e4faeaf0945a679e4d2430ffeca19c2766a7281afe355c9e1c9f8f","source":{"kind":"arxiv","id":"1304.2677","version":1},"attestation_state":"computed","paper":{"title":"On finite rank Hankel operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.FA","authors_text":"D. R. Yafaev","submitted_at":"2013-04-09T17:42:53Z","abstract_excerpt":"For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative eigenvalues of finite rank Hankel operators."},"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":"1304.2677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-04-09T17:42:53Z","cross_cats_sorted":["math.SP"],"title_canon_sha256":"7b69205ce11ee517acb14e902acf5ebe07c62ca87b167db6213bd2a43b4b3b7e","abstract_canon_sha256":"c333b1abe6d2fbde70b807a8b7a08cf06c76b9fcbf116b5613dccbd620603ad4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:31.106574Z","signature_b64":"Cpx2kFa9Z/OCkpxJZbClxf7K5LhbcUq8E22xjvFMz9Q7nw9IJb7B9YSIlDW4LbpqcsB75srs8oV+NO1y3yWRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dff4934122e4faeaf0945a679e4d2430ffeca19c2766a7281afe355c9e1c9f8f","last_reissued_at":"2026-05-18T03:28:31.105853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:31.105853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On finite rank Hankel operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SP"],"primary_cat":"math.FA","authors_text":"D. R. Yafaev","submitted_at":"2013-04-09T17:42:53Z","abstract_excerpt":"For self-adjoint Hankel operators of finite rank, we find an explicit formula for the total multiplicity of their negative and positive spectra. We also show that very strong perturbations, for example, a perturbation by the Carleman operator, do not change the total number of negative eigenvalues of finite rank Hankel operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2677","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":"1304.2677","created_at":"2026-05-18T03:28:31.105935+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2677v1","created_at":"2026-05-18T03:28:31.105935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2677","created_at":"2026-05-18T03:28:31.105935+00:00"},{"alias_kind":"pith_short_12","alias_value":"372JGQJC4T5O","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"372JGQJC4T5OV4EU","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"372JGQJC","created_at":"2026-05-18T12:27:32.513160+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/372JGQJC4T5OV4EULJTZ4TJEGD","json":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD.json","graph_json":"https://pith.science/api/pith-number/372JGQJC4T5OV4EULJTZ4TJEGD/graph.json","events_json":"https://pith.science/api/pith-number/372JGQJC4T5OV4EULJTZ4TJEGD/events.json","paper":"https://pith.science/paper/372JGQJC"},"agent_actions":{"view_html":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD","download_json":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD.json","view_paper":"https://pith.science/paper/372JGQJC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2677&json=true","fetch_graph":"https://pith.science/api/pith-number/372JGQJC4T5OV4EULJTZ4TJEGD/graph.json","fetch_events":"https://pith.science/api/pith-number/372JGQJC4T5OV4EULJTZ4TJEGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD/action/storage_attestation","attest_author":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD/action/author_attestation","sign_citation":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD/action/citation_signature","submit_replication":"https://pith.science/pith/372JGQJC4T5OV4EULJTZ4TJEGD/action/replication_record"}},"created_at":"2026-05-18T03:28:31.105935+00:00","updated_at":"2026-05-18T03:28:31.105935+00:00"}