{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7UVIRMCBPRDLNH5HRFRL5FAULL","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":"970925c37c31e5fbd8bc7c7378d41cbb0b83fa500a7ff57762fbf6cf5c8ca8a0","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-10-10T08:46:18Z","title_canon_sha256":"ea5cc3cbb69c98ee7b632e2860664dfa3a19a89d76e03b8601bb2452e5bc6652"},"schema_version":"1.0","source":{"id":"1110.1959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1959","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1959v1","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1959","created_at":"2026-05-18T02:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"7UVIRMCBPRDL","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7UVIRMCBPRDLNH5H","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7UVIRMCB","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:d2497c6f689d650d67aa25479836e314d0332873b238a459a323b0b92d634928","target":"graph","created_at":"2026-05-18T02:53:54Z","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 construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of Fukaya-Oh-Ohta-Ono.","authors_text":"Andrew Tonks, Fernando Muro","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-10-10T08:46:18Z","title":"Unital associahedra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1959","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":"sha256:4ac8b98e7b2c30249ec8bec2c8012d2320556269a3e7c257561f95039dc517ed","target":"record","created_at":"2026-05-18T02:53:54Z","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":"970925c37c31e5fbd8bc7c7378d41cbb0b83fa500a7ff57762fbf6cf5c8ca8a0","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-10-10T08:46:18Z","title_canon_sha256":"ea5cc3cbb69c98ee7b632e2860664dfa3a19a89d76e03b8601bb2452e5bc6652"},"schema_version":"1.0","source":{"id":"1110.1959","kind":"arxiv","version":1}},"canonical_sha256":"fd2a88b0417c46b69fa78962be94145ac21880ec0b9ea214de89185c0cfacf0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd2a88b0417c46b69fa78962be94145ac21880ec0b9ea214de89185c0cfacf0a","first_computed_at":"2026-05-18T02:53:54.366137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:54.366137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TIcbB0ffLqLpIPIt9twFK3jTW0pyHBWUZ6Jj3aR2v8jsmjnAD1mTXvZWArJ61H/kVZ5Wce0ltevbxyu4/5QDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:54.367038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ac8b98e7b2c30249ec8bec2c8012d2320556269a3e7c257561f95039dc517ed","sha256:d2497c6f689d650d67aa25479836e314d0332873b238a459a323b0b92d634928"],"state_sha256":"f671083a717f5bc9b6c849e6377278edd94368c8a1df6ea0f759e1b11ac09fd6"}