{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:V5NTPTHFT5P4VC5KYEYAYAXTAP","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":"a280c209cbb37a5282714f7d3fcdec9f10295fa3022b7e8bd7a82ceee6c81c92","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-13T01:38:55Z","title_canon_sha256":"3551995bb5d069ca29c26d3eaec00530b4143a6cfe9a6e719d168fe6d9367cbc"},"schema_version":"1.0","source":{"id":"1610.03908","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03908","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03908v3","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03908","created_at":"2026-05-18T00:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"V5NTPTHFT5P4","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"V5NTPTHFT5P4VC5K","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"V5NTPTHF","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:de7182f003f1241a22e7769325015cfb4e5e43dff1924573cfca29f7f00bbb57","target":"graph","created_at":"2026-05-18T00:05:46Z","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":"Richard P. Stanley conjectured that finite trees can be distinguished by their chromatic symmetric functions. In this paper, we prove an analogous statement for posets: Finite rooted trees can be distinguished by their order quasisymmetric functions.","authors_text":"Shuhei Tsujie, Takahiro Hasebe","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-13T01:38:55Z","title":"Order Quasisymmetric Functions Distinguish Rooted Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03908","kind":"arxiv","version":3},"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:b314089b7677c76f5eaf14f04e40ebfb4d1f577c75032554ba9a2e07fdf7bd81","target":"record","created_at":"2026-05-18T00:05:46Z","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":"a280c209cbb37a5282714f7d3fcdec9f10295fa3022b7e8bd7a82ceee6c81c92","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-13T01:38:55Z","title_canon_sha256":"3551995bb5d069ca29c26d3eaec00530b4143a6cfe9a6e719d168fe6d9367cbc"},"schema_version":"1.0","source":{"id":"1610.03908","kind":"arxiv","version":3}},"canonical_sha256":"af5b37cce59f5fca8baac1300c02f303f9f800ce4aac2b0d6dc83e6ea1e42039","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af5b37cce59f5fca8baac1300c02f303f9f800ce4aac2b0d6dc83e6ea1e42039","first_computed_at":"2026-05-18T00:05:46.399918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:46.399918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OgYnQU+O9fxiIRO4QOtz3VNyXaNxCzKxOxyoQdpjLpz8EEP+B9ZmhsK30oQ78b0kVHTmWogMcY8fc+CS3pN3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:46.400604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03908","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b314089b7677c76f5eaf14f04e40ebfb4d1f577c75032554ba9a2e07fdf7bd81","sha256:de7182f003f1241a22e7769325015cfb4e5e43dff1924573cfca29f7f00bbb57"],"state_sha256":"559f5b9657f1c396f982f92f674bd4cf6c15db53328d89c0a0052c5956d66712"}