{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MIQPLQEUUZS7PTVU6SZ4JBZEJK","short_pith_number":"pith:MIQPLQEU","schema_version":"1.0","canonical_sha256":"6220f5c094a665f7ceb4f4b3c487244a94c24536daadabb3c6c6640a21dc5a50","source":{"kind":"arxiv","id":"1301.3946","version":3},"attestation_state":"computed","paper":{"title":"Efficient Identification of Equivalences in Dynamic Graphs and Pedigree Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM","stat.CO"],"primary_cat":"cs.DS","authors_text":"Elizabeth Thompson, Hoyt Koepke","submitted_at":"2013-01-16T23:11:14Z","abstract_excerpt":"We propose a new framework for designing test and query functions for complex structures that vary across a given parameter such as genetic marker position. The operations we are interested in include equality testing, set operations, isolating unique states, duplication counting, or finding equivalence classes under identifiability constraints. A motivating application is locating equivalence classes in identity-by-descent (IBD) graphs, graph structures in pedigree analysis that change over genetic marker location. The nodes of these graphs are unlabeled and identified only by their connectin"},"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":"1301.3946","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2013-01-16T23:11:14Z","cross_cats_sorted":["q-bio.QM","stat.CO"],"title_canon_sha256":"9f81699df5995e67236fa6694825f85448f936e74b059958915f0a798c82f04a","abstract_canon_sha256":"713db1e726f7427ed42f85a70203b69778a4ede130b84047473914dcffef3073"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:13.456010Z","signature_b64":"ycYYKZaCPOQcgLk2chmKKDntHFBYqnbEODPiW8gPIWO923BFFodg5wG7J7CUBu7sEd2YJW6FFsVEZS+RI02GBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6220f5c094a665f7ceb4f4b3c487244a94c24536daadabb3c6c6640a21dc5a50","last_reissued_at":"2026-05-18T03:33:13.455413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:13.455413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Identification of Equivalences in Dynamic Graphs and Pedigree Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM","stat.CO"],"primary_cat":"cs.DS","authors_text":"Elizabeth Thompson, Hoyt Koepke","submitted_at":"2013-01-16T23:11:14Z","abstract_excerpt":"We propose a new framework for designing test and query functions for complex structures that vary across a given parameter such as genetic marker position. The operations we are interested in include equality testing, set operations, isolating unique states, duplication counting, or finding equivalence classes under identifiability constraints. A motivating application is locating equivalence classes in identity-by-descent (IBD) graphs, graph structures in pedigree analysis that change over genetic marker location. The nodes of these graphs are unlabeled and identified only by their connectin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3946","kind":"arxiv","version":3},"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":"1301.3946","created_at":"2026-05-18T03:33:13.455502+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3946v3","created_at":"2026-05-18T03:33:13.455502+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3946","created_at":"2026-05-18T03:33:13.455502+00:00"},{"alias_kind":"pith_short_12","alias_value":"MIQPLQEUUZS7","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MIQPLQEUUZS7PTVU","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MIQPLQEU","created_at":"2026-05-18T12:27:52.871228+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/MIQPLQEUUZS7PTVU6SZ4JBZEJK","json":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK.json","graph_json":"https://pith.science/api/pith-number/MIQPLQEUUZS7PTVU6SZ4JBZEJK/graph.json","events_json":"https://pith.science/api/pith-number/MIQPLQEUUZS7PTVU6SZ4JBZEJK/events.json","paper":"https://pith.science/paper/MIQPLQEU"},"agent_actions":{"view_html":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK","download_json":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK.json","view_paper":"https://pith.science/paper/MIQPLQEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3946&json=true","fetch_graph":"https://pith.science/api/pith-number/MIQPLQEUUZS7PTVU6SZ4JBZEJK/graph.json","fetch_events":"https://pith.science/api/pith-number/MIQPLQEUUZS7PTVU6SZ4JBZEJK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK/action/storage_attestation","attest_author":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK/action/author_attestation","sign_citation":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK/action/citation_signature","submit_replication":"https://pith.science/pith/MIQPLQEUUZS7PTVU6SZ4JBZEJK/action/replication_record"}},"created_at":"2026-05-18T03:33:13.455502+00:00","updated_at":"2026-05-18T03:33:13.455502+00:00"}