{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:A3KCJVOHACUBXP6UXYRCICALF3","short_pith_number":"pith:A3KCJVOH","schema_version":"1.0","canonical_sha256":"06d424d5c700a81bbfd4be2224080b2ee9b80b24e05709fa7a5eec0a25c160ca","source":{"kind":"arxiv","id":"q-bio/0511009","version":1},"attestation_state":"computed","paper":{"title":"The identifiability of tree topology for phylogenetic models, including covarion and mixture models","license":"","headline":"","cross_cats":["math.AG","math.ST","stat.TH"],"primary_cat":"q-bio.PE","authors_text":"Elizabeth S. Allman, John A. Rhodes","submitted_at":"2005-11-10T04:33:33Z","abstract_excerpt":"For a model of molecular evolution to be useful for phylogenetic inference, the topology of evolutionary trees must be identifiable. That is, from a joint distribution the model predicts, it must be possible to recover the tree parameter. We establish tree identifiability for a number of phylogenetic models, including a covarion model and a variety of mixture models with a limited number of classes. The proof is based on the introduction of a more general model, allowing more states at internal nodes of the tree than at leaves, and the study of the algebraic variety formed by the joint distrib"},"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":"q-bio/0511009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-bio.PE","submitted_at":"2005-11-10T04:33:33Z","cross_cats_sorted":["math.AG","math.ST","stat.TH"],"title_canon_sha256":"67d32c2a239a17038682faf11da51a04482b9d3e983debfdd1e14a3df97c3a56","abstract_canon_sha256":"e25ba6b1e5a529b1970b1b8c42b80b0ec4910092d44953b4b894b1cabe33cd93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:52.519916Z","signature_b64":"x8zH/sO2PQFanJn1YiNuou+ZWJ32dfoZ6aepbQajsDON/VjEd0uG6SK2D3QHxGzHXAYQQXmo8ERLsGPLq9wPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06d424d5c700a81bbfd4be2224080b2ee9b80b24e05709fa7a5eec0a25c160ca","last_reissued_at":"2026-05-18T04:08:52.519380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:52.519380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The identifiability of tree topology for phylogenetic models, including covarion and mixture models","license":"","headline":"","cross_cats":["math.AG","math.ST","stat.TH"],"primary_cat":"q-bio.PE","authors_text":"Elizabeth S. Allman, John A. Rhodes","submitted_at":"2005-11-10T04:33:33Z","abstract_excerpt":"For a model of molecular evolution to be useful for phylogenetic inference, the topology of evolutionary trees must be identifiable. That is, from a joint distribution the model predicts, it must be possible to recover the tree parameter. We establish tree identifiability for a number of phylogenetic models, including a covarion model and a variety of mixture models with a limited number of classes. The proof is based on the introduction of a more general model, allowing more states at internal nodes of the tree than at leaves, and the study of the algebraic variety formed by the joint distrib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0511009","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":"q-bio/0511009","created_at":"2026-05-18T04:08:52.519447+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0511009v1","created_at":"2026-05-18T04:08:52.519447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0511009","created_at":"2026-05-18T04:08:52.519447+00:00"},{"alias_kind":"pith_short_12","alias_value":"A3KCJVOHACUB","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"A3KCJVOHACUBXP6U","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"A3KCJVOH","created_at":"2026-05-18T12:25:53.335082+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/A3KCJVOHACUBXP6UXYRCICALF3","json":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3.json","graph_json":"https://pith.science/api/pith-number/A3KCJVOHACUBXP6UXYRCICALF3/graph.json","events_json":"https://pith.science/api/pith-number/A3KCJVOHACUBXP6UXYRCICALF3/events.json","paper":"https://pith.science/paper/A3KCJVOH"},"agent_actions":{"view_html":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3","download_json":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3.json","view_paper":"https://pith.science/paper/A3KCJVOH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-bio/0511009&json=true","fetch_graph":"https://pith.science/api/pith-number/A3KCJVOHACUBXP6UXYRCICALF3/graph.json","fetch_events":"https://pith.science/api/pith-number/A3KCJVOHACUBXP6UXYRCICALF3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3/action/storage_attestation","attest_author":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3/action/author_attestation","sign_citation":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3/action/citation_signature","submit_replication":"https://pith.science/pith/A3KCJVOHACUBXP6UXYRCICALF3/action/replication_record"}},"created_at":"2026-05-18T04:08:52.519447+00:00","updated_at":"2026-05-18T04:08:52.519447+00:00"}