{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HFCBUGE6MILU3MW7L3JV73QIG7","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":"3f92c043ffc6f5b6f68030fcfd2a5ff99e94bbc8a8d82fd776084da798b5d061","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-27T15:56:01Z","title_canon_sha256":"8bd4a676185284b223ebdd1088fd5dab2f278dbae654a0712d1ad96f15502e56"},"schema_version":"1.0","source":{"id":"1402.6945","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6945","created_at":"2026-05-18T02:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6945v1","created_at":"2026-05-18T02:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6945","created_at":"2026-05-18T02:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"HFCBUGE6MILU","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HFCBUGE6MILU3MW7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HFCBUGE6","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:4cb0653e135ec2b2cde748a5afbfcd25c193597894d2f613b0b310a3eed17a0f","target":"graph","created_at":"2026-05-18T02:57:36Z","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":"Motivated by phylogenetics, our aim is to obtain a system of equations that define a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic varieties defined via group-based models. For any finite abelian group $G$, we provide an explicit construction of $codim X$ phylogenetic invariants (polynomial equations) of degree at most $|G|$ that define the variety $X$ on a Zariski open set $U$. The set $U$ contains all biologically meaningful points when $G$ is the group of the Kimura 3-parameter model. In particular, our main result ","authors_text":"Jes\\'us Fern\\'andez-S\\'anchez, Marta Casanellas, Mateusz Micha{\\l}ek","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-27T15:56:01Z","title":"Local description of phylogenetic group-based models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6945","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:c308d9e1aad84c5653a890ea6c22cd29deb6d07473b8edb0134d33f7b7049d13","target":"record","created_at":"2026-05-18T02:57:36Z","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":"3f92c043ffc6f5b6f68030fcfd2a5ff99e94bbc8a8d82fd776084da798b5d061","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-27T15:56:01Z","title_canon_sha256":"8bd4a676185284b223ebdd1088fd5dab2f278dbae654a0712d1ad96f15502e56"},"schema_version":"1.0","source":{"id":"1402.6945","kind":"arxiv","version":1}},"canonical_sha256":"39441a189e62174db2df5ed35fee0837c5ca989516358aff4e8c374002dfee74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39441a189e62174db2df5ed35fee0837c5ca989516358aff4e8c374002dfee74","first_computed_at":"2026-05-18T02:57:36.554626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:36.554626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mVP/kPvlV3gazL24RElipEEciDqBWpisdsFe5QB5MVpcnA8xV8OtIsUQr03IzIyvC0Q6Sk6/QhzfH6JpQEgDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:36.555137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6945","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c308d9e1aad84c5653a890ea6c22cd29deb6d07473b8edb0134d33f7b7049d13","sha256:4cb0653e135ec2b2cde748a5afbfcd25c193597894d2f613b0b310a3eed17a0f"],"state_sha256":"6e8adec229326b40343a4679aa6ae347e9b655b18c9647dbf5f67f0e1b0343a3"}