{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZUAP4USSN2RCWI3EE5A5CFS324","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":"4f0fb863b681df774cec19b1cc86cc95f94bdb9f6f96878885d63dede13529a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-05T18:26:04Z","title_canon_sha256":"0076e55e901686575d6f9918a21042de26d6949dc8628a61ff75d31ac90ce423"},"schema_version":"1.0","source":{"id":"1505.01115","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01115","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01115v2","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01115","created_at":"2026-05-17T23:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZUAP4USSN2RC","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZUAP4USSN2RCWI3E","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZUAP4USS","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:dc65fb71ce7d171d3cca7640b2e6ee695359c98b3e3a7afc9e2b35414fe3967b","target":"graph","created_at":"2026-05-17T23:45:15Z","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 weave together a tale of two rings, SYM and QSYM, following one gold thread spun by Richard Stanley. The lesson we learn from this tale is that \"Combinatorial objects like to be counted by quasisymmetric functions.\"","authors_text":"Peter R. W. McNamara, Sara C. Billey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-05T18:26:04Z","title":"The contributions of Stanley to the fabric of symmetric and quasisymmetric functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01115","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":"sha256:6110041238f7b47ba22ac757356adcc9e017be13c6f9cc8ff51da9ae0d89df9d","target":"record","created_at":"2026-05-17T23:45:15Z","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":"4f0fb863b681df774cec19b1cc86cc95f94bdb9f6f96878885d63dede13529a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-05T18:26:04Z","title_canon_sha256":"0076e55e901686575d6f9918a21042de26d6949dc8628a61ff75d31ac90ce423"},"schema_version":"1.0","source":{"id":"1505.01115","kind":"arxiv","version":2}},"canonical_sha256":"cd00fe52526ea22b23642741d1165bd70f2eee336f9e5375d552ac5b219af564","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd00fe52526ea22b23642741d1165bd70f2eee336f9e5375d552ac5b219af564","first_computed_at":"2026-05-17T23:45:15.885927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:15.885927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzOeDk4MSnGzt6CaDwVl3XMOgwrWtT4oZoA9JGu9at0Y2dNECO10UzYL8kYITmkHYCHVYosqfUGNvDygTphMDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:15.886586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01115","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6110041238f7b47ba22ac757356adcc9e017be13c6f9cc8ff51da9ae0d89df9d","sha256:dc65fb71ce7d171d3cca7640b2e6ee695359c98b3e3a7afc9e2b35414fe3967b"],"state_sha256":"e05dc09e5ce5bcd72c43dbefe6448ae89a0cbcdb692cc73222a7c44e9f681d55"}