{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VKJFK52G5DBK4LZJPVVNK2RHEN","short_pith_number":"pith:VKJFK52G","schema_version":"1.0","canonical_sha256":"aa92557746e8c2ae2f297d6ad56a2723732073498c8b76bf4ab713db4367178d","source":{"kind":"arxiv","id":"1403.5891","version":2},"attestation_state":"computed","paper":{"title":"Radon-Nikodym theorems for nonnegative forms, measures and representable functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Zsigmond Tarcsay","submitted_at":"2014-03-24T09:54:36Z","abstract_excerpt":"The aim of this note is to establish two Radon--Nikodym type theorems for nonnegative Hermitian forms defined on a real or complex vector space. We apply these results to prove the known Radon--Nikodym theorems of the theory of representable positive functionals, $\\sigma$-additive and finitely additive measures."},"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":"1403.5891","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-24T09:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"04821c25c3b8d40c99a8e34c4560a8bd11c9be167637a97df202814333b55185","abstract_canon_sha256":"2456b8f4b9513945f41b93585c51fc6d885a8f30b2c1c4f81a121660d5f8ca59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:04.684809Z","signature_b64":"bXWoLjphrjayv3zznM69q5F1lbpDegf1Lv9WvTtVn9H9rv293LkyjvZ7x24I0tzqDIonxgOkPhDo9n0p1gioDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa92557746e8c2ae2f297d6ad56a2723732073498c8b76bf4ab713db4367178d","last_reissued_at":"2026-05-18T02:54:04.684106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:04.684106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Radon-Nikodym theorems for nonnegative forms, measures and representable functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Zsigmond Tarcsay","submitted_at":"2014-03-24T09:54:36Z","abstract_excerpt":"The aim of this note is to establish two Radon--Nikodym type theorems for nonnegative Hermitian forms defined on a real or complex vector space. We apply these results to prove the known Radon--Nikodym theorems of the theory of representable positive functionals, $\\sigma$-additive and finitely additive measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5891","kind":"arxiv","version":2},"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":"1403.5891","created_at":"2026-05-18T02:54:04.684220+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.5891v2","created_at":"2026-05-18T02:54:04.684220+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5891","created_at":"2026-05-18T02:54:04.684220+00:00"},{"alias_kind":"pith_short_12","alias_value":"VKJFK52G5DBK","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VKJFK52G5DBK4LZJ","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VKJFK52G","created_at":"2026-05-18T12:28:54.890064+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/VKJFK52G5DBK4LZJPVVNK2RHEN","json":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN.json","graph_json":"https://pith.science/api/pith-number/VKJFK52G5DBK4LZJPVVNK2RHEN/graph.json","events_json":"https://pith.science/api/pith-number/VKJFK52G5DBK4LZJPVVNK2RHEN/events.json","paper":"https://pith.science/paper/VKJFK52G"},"agent_actions":{"view_html":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN","download_json":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN.json","view_paper":"https://pith.science/paper/VKJFK52G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.5891&json=true","fetch_graph":"https://pith.science/api/pith-number/VKJFK52G5DBK4LZJPVVNK2RHEN/graph.json","fetch_events":"https://pith.science/api/pith-number/VKJFK52G5DBK4LZJPVVNK2RHEN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN/action/storage_attestation","attest_author":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN/action/author_attestation","sign_citation":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN/action/citation_signature","submit_replication":"https://pith.science/pith/VKJFK52G5DBK4LZJPVVNK2RHEN/action/replication_record"}},"created_at":"2026-05-18T02:54:04.684220+00:00","updated_at":"2026-05-18T02:54:04.684220+00:00"}