{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HYIBOC6GZ6TZWIZYXOG5B5OO57","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":"83af131d0b36f56fa3ce21f036e5d8186e3fa192ad9638899ed2aaa51ea281ab","cross_cats_sorted":["math.AC","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-03T20:02:47Z","title_canon_sha256":"9707d48ccdf41ae8072a3b96e411bd06b433c9ab6376b18e63d57191a8fe27a2"},"schema_version":"1.0","source":{"id":"1403.0547","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0547","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0547v2","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0547","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"pith_short_12","alias_value":"HYIBOC6GZ6TZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"HYIBOC6GZ6TZWIZY","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"HYIBOC6G","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:9488a720ade79be3db7ab67d5072f9f3898334566ba6228ea4959ffcf436460d","target":"graph","created_at":"2026-05-18T01:30:49Z","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":"We present a one-parameter family of models for square contingency tables that interpolates between the classical quasisymmetry model and its Pearsonian analogue. Algebraically, this corresponds to deformations of toric ideals associated with graphs. Our discussion of the statistical issues centers around maximum likelihood estimation.","authors_text":"Bernd Sturmfels, Fatemeh Mohammadi, Maria Kateri","cross_cats":["math.AC","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-03T20:02:47Z","title":"A Family of Quasisymmetry Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0547","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":"sha256:371c2737b02ad912f3836158b0f2df8377ab34badc780894df8a41c81716f8a1","target":"record","created_at":"2026-05-18T01:30:49Z","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":"83af131d0b36f56fa3ce21f036e5d8186e3fa192ad9638899ed2aaa51ea281ab","cross_cats_sorted":["math.AC","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-03T20:02:47Z","title_canon_sha256":"9707d48ccdf41ae8072a3b96e411bd06b433c9ab6376b18e63d57191a8fe27a2"},"schema_version":"1.0","source":{"id":"1403.0547","kind":"arxiv","version":2}},"canonical_sha256":"3e10170bc6cfa79b2338bb8dd0f5ceefdaa6686ef141e77070ff5436e0932e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e10170bc6cfa79b2338bb8dd0f5ceefdaa6686ef141e77070ff5436e0932e7a","first_computed_at":"2026-05-18T01:30:49.366553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:49.366553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/oYrRrlRltIm1GR2rSxlcaEDnsQ0aDM5+QSwgVgSt20daBbI92j54qOhuQjhS9hwEIUJfSDgCxRdep4GRErCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:49.366997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0547","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:371c2737b02ad912f3836158b0f2df8377ab34badc780894df8a41c81716f8a1","sha256:9488a720ade79be3db7ab67d5072f9f3898334566ba6228ea4959ffcf436460d"],"state_sha256":"f8ae40ddebdde6b2a8281301e0c25fa1c1b4b24c707b81c39188ff0d91c76fb8"}