{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BDSR7GOO5RBMDA6ZBBRDLNX67F","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d9b4f9604a1ea6c473755b066dc395cfc3b588a6378a8974bd1a43b213d64f82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-09T18:28:23Z","title_canon_sha256":"5f99661ba01802986868de52563d799cf24a43757e4693febe2b0f29b059678b"},"schema_version":"1.0","source":{"id":"1303.2249","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2249","created_at":"2026-05-18T03:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2249v2","created_at":"2026-05-18T03:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2249","created_at":"2026-05-18T03:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"BDSR7GOO5RBM","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BDSR7GOO5RBMDA6Z","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BDSR7GOO","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:31ce51a2fbc75d5917082686b371928095c6f378fcc8ab8d23f36f4048d0c7e5","target":"graph","created_at":"2026-05-18T03:30:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we study numbers $n$ that can be factored in three different ways as $n = A_1 B_1 = A_2 B_2 = A_3 B_3$ where $A_1$, $A_2$, $A_3$ are close to each other and $B_1$, $B_2$, $B_3$ are close to each other.","authors_text":"Tsz Ho Chan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-09T18:28:23Z","title":"Numbers with three close factorizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2249","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0b7c6c0720894315bde14df5876275c9150ae55e81a7d24f0d5bbc24c3dead09","target":"record","created_at":"2026-05-18T03:30:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d9b4f9604a1ea6c473755b066dc395cfc3b588a6378a8974bd1a43b213d64f82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-09T18:28:23Z","title_canon_sha256":"5f99661ba01802986868de52563d799cf24a43757e4693febe2b0f29b059678b"},"schema_version":"1.0","source":{"id":"1303.2249","kind":"arxiv","version":2}},"canonical_sha256":"08e51f99ceec42c183d9086235b6fef94f992ef874b9b373350570b1b28b6889","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08e51f99ceec42c183d9086235b6fef94f992ef874b9b373350570b1b28b6889","first_computed_at":"2026-05-18T03:30:54.878617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:54.878617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o4JlBkks28ErWHHw9bVHXmByLyZ5fvpsgjDMh5wHxrlU5o7IKFEIvSikLMqRNqFw7KiIVq/soDPfK8GMa0h/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:54.879387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2249","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b7c6c0720894315bde14df5876275c9150ae55e81a7d24f0d5bbc24c3dead09","sha256:31ce51a2fbc75d5917082686b371928095c6f378fcc8ab8d23f36f4048d0c7e5"],"state_sha256":"08d8fc78287a5f8ac5cfda7bf3d970e7ff91e621c1958964eb9306e33f62cf96"}