{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RL7F3T4M6UGNAXNKB5T3HYWEFO","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":"29c50afc771833da9184fbed9b5068345ac0347096dc04e3cd552dae4a33d919","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-06-19T19:09:28Z","title_canon_sha256":"684fb28bf7ec587de437308c6d962145145b98c5cb402d4e5513474df2f789de"},"schema_version":"1.0","source":{"id":"1406.5157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5157","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5157v1","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5157","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"pith_short_12","alias_value":"RL7F3T4M6UGN","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RL7F3T4M6UGNAXNK","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RL7F3T4M","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:9e9b0477bf5179507f3b5b786749365f18e76efe282600d6ed6a8a3818caadcd","target":"graph","created_at":"2026-05-18T02:49:20Z","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":"Joshua Cooper and Mark Walters initiated the subject that we call here Enumerative Geometric Genealogy, (and that lead to the hard-to-count OEIS sequence A140468) but they did not realize the broader impact of their research to the population explosion of a certain far-away planet, whose inhabitants are much smarter, and more civilized, than we are.","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-06-19T19:09:28Z","title":"Enumerative Geometrical Genealogy (Or: The Sex Life of Points and Lines)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5157","kind":"arxiv","version":1},"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:c6b9c8b4c87c315a83d05fbd8269af55476af2d5ac894e1989524fc9605943a1","target":"record","created_at":"2026-05-18T02:49:20Z","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":"29c50afc771833da9184fbed9b5068345ac0347096dc04e3cd552dae4a33d919","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-06-19T19:09:28Z","title_canon_sha256":"684fb28bf7ec587de437308c6d962145145b98c5cb402d4e5513474df2f789de"},"schema_version":"1.0","source":{"id":"1406.5157","kind":"arxiv","version":1}},"canonical_sha256":"8afe5dcf8cf50cd05daa0f67b3e2c42b89c2add1d94cf0459da1d895816e6e5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8afe5dcf8cf50cd05daa0f67b3e2c42b89c2add1d94cf0459da1d895816e6e5f","first_computed_at":"2026-05-18T02:49:20.809598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:20.809598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UyUI2Xq2yVx4ArbaLyqMGln6ly8rBpftLS1yNsXNbHWodOYdmJJcPi5ZSl8N3ouqnBz///jvG9yZNXflo8v7DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:20.810191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6b9c8b4c87c315a83d05fbd8269af55476af2d5ac894e1989524fc9605943a1","sha256:9e9b0477bf5179507f3b5b786749365f18e76efe282600d6ed6a8a3818caadcd"],"state_sha256":"6e58d2b599d981a5db95e7c82517184542a966eba69cf52acffb66a92c076386"}