{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Q636FNVPNV5RI3YDVKB3P535ZP","short_pith_number":"pith:Q636FNVP","schema_version":"1.0","canonical_sha256":"87b7e2b6af6d7b146f03aa83b7f77dcbf2bb81453cc45f8b340998f3fed8a088","source":{"kind":"arxiv","id":"1012.2539","version":1},"attestation_state":"computed","paper":{"title":"A Note on the Jordan Canonical Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"H. Azad","submitted_at":"2010-12-12T13:20:29Z","abstract_excerpt":"A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks."},"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":"1012.2539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-12-12T13:20:29Z","cross_cats_sorted":[],"title_canon_sha256":"1dfcae3084c3e5a924096d8293a2a6084b5bdb5f6ac12f6e0c2275615446d71a","abstract_canon_sha256":"f7c44336a1198aa84ef43549ff5f086d9ab69e5e1539cb03ca3a8d72fa840349"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:28.383074Z","signature_b64":"F/54PqESX1mDuWrFtNc9wBMTdzAf9yN2BCaE7BVLz7nkgLSDj2ZsHXDg7rpYPLvno8RZsLVBxtvCu/3qn84bCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87b7e2b6af6d7b146f03aa83b7f77dcbf2bb81453cc45f8b340998f3fed8a088","last_reissued_at":"2026-05-18T04:33:28.382666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:28.382666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on the Jordan Canonical Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"H. Azad","submitted_at":"2010-12-12T13:20:29Z","abstract_excerpt":"A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2539","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":"1012.2539","created_at":"2026-05-18T04:33:28.382720+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2539v1","created_at":"2026-05-18T04:33:28.382720+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2539","created_at":"2026-05-18T04:33:28.382720+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q636FNVPNV5R","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q636FNVPNV5RI3YD","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q636FNVP","created_at":"2026-05-18T12:26:12.377268+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/Q636FNVPNV5RI3YDVKB3P535ZP","json":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP.json","graph_json":"https://pith.science/api/pith-number/Q636FNVPNV5RI3YDVKB3P535ZP/graph.json","events_json":"https://pith.science/api/pith-number/Q636FNVPNV5RI3YDVKB3P535ZP/events.json","paper":"https://pith.science/paper/Q636FNVP"},"agent_actions":{"view_html":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP","download_json":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP.json","view_paper":"https://pith.science/paper/Q636FNVP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2539&json=true","fetch_graph":"https://pith.science/api/pith-number/Q636FNVPNV5RI3YDVKB3P535ZP/graph.json","fetch_events":"https://pith.science/api/pith-number/Q636FNVPNV5RI3YDVKB3P535ZP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP/action/storage_attestation","attest_author":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP/action/author_attestation","sign_citation":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP/action/citation_signature","submit_replication":"https://pith.science/pith/Q636FNVPNV5RI3YDVKB3P535ZP/action/replication_record"}},"created_at":"2026-05-18T04:33:28.382720+00:00","updated_at":"2026-05-18T04:33:28.382720+00:00"}