{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RNERO7AXUETWYBLLVGX26LMJ65","short_pith_number":"pith:RNERO7AX","schema_version":"1.0","canonical_sha256":"8b49177c17a1276c056ba9afaf2d89f742433c1fa2618fec9254123ddae3efe1","source":{"kind":"arxiv","id":"1307.8307","version":1},"attestation_state":"computed","paper":{"title":"From A-spaces to arbitrary spaces via spatial fibrous preorders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"N. Martins-Ferreira","submitted_at":"2013-07-31T12:56:23Z","abstract_excerpt":"The well known equivalence between preorders and Alexandrov spaces is extended to an equivalence between arbitrary topological spaces and spatial fibrous preorders, a new notion to be introduced."},"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":"1307.8307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-07-31T12:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"9d0fc742a41d731869ecea73752d4fdfb959a7fd9f3d8d1a0cbf24c08ddedab5","abstract_canon_sha256":"81c4445d77867be9182e139571fabc82bfb0e886e1bcde24c4ed760d278a3c9f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:01.655297Z","signature_b64":"ByJ34d4sdeq/W8KfcUlL8T52LNygZhknLeC7yBFbJi7WzjtpzlPkLoKfIkQ/1u1jh0Zrixv+N34QvcYTiWJoCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b49177c17a1276c056ba9afaf2d89f742433c1fa2618fec9254123ddae3efe1","last_reissued_at":"2026-05-18T03:17:01.654672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:01.654672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From A-spaces to arbitrary spaces via spatial fibrous preorders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"N. Martins-Ferreira","submitted_at":"2013-07-31T12:56:23Z","abstract_excerpt":"The well known equivalence between preorders and Alexandrov spaces is extended to an equivalence between arbitrary topological spaces and spatial fibrous preorders, a new notion to be introduced."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8307","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":"1307.8307","created_at":"2026-05-18T03:17:01.654793+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.8307v1","created_at":"2026-05-18T03:17:01.654793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8307","created_at":"2026-05-18T03:17:01.654793+00:00"},{"alias_kind":"pith_short_12","alias_value":"RNERO7AXUETW","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"RNERO7AXUETWYBLL","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"RNERO7AX","created_at":"2026-05-18T12:27:59.945178+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/RNERO7AXUETWYBLLVGX26LMJ65","json":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65.json","graph_json":"https://pith.science/api/pith-number/RNERO7AXUETWYBLLVGX26LMJ65/graph.json","events_json":"https://pith.science/api/pith-number/RNERO7AXUETWYBLLVGX26LMJ65/events.json","paper":"https://pith.science/paper/RNERO7AX"},"agent_actions":{"view_html":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65","download_json":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65.json","view_paper":"https://pith.science/paper/RNERO7AX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.8307&json=true","fetch_graph":"https://pith.science/api/pith-number/RNERO7AXUETWYBLLVGX26LMJ65/graph.json","fetch_events":"https://pith.science/api/pith-number/RNERO7AXUETWYBLLVGX26LMJ65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65/action/storage_attestation","attest_author":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65/action/author_attestation","sign_citation":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65/action/citation_signature","submit_replication":"https://pith.science/pith/RNERO7AXUETWYBLLVGX26LMJ65/action/replication_record"}},"created_at":"2026-05-18T03:17:01.654793+00:00","updated_at":"2026-05-18T03:17:01.654793+00:00"}