{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PYC5PEASSYUDEDVNDNON4RBNFB","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":"ea0e60d1abab754ed450ef22fcd54e680c4ea3463173cb37a93277bf2103f3df","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-29T19:30:55Z","title_canon_sha256":"54e75cd7ae7807a6749159b8fb0164a78e327bcdc1a01ca0d5886e2afdc56482"},"schema_version":"1.0","source":{"id":"1106.6033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.6033","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1106.6033v1","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6033","created_at":"2026-05-18T04:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"PYC5PEASSYUD","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PYC5PEASSYUDEDVN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PYC5PEAS","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:1a883e387946e08623c03d2655bd873ec5054048bbc8ad101ba4754b7855bc43","target":"graph","created_at":"2026-05-18T04:19:04Z","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":"In this paper, we describe the relation between the Turaev--Viro TQFT and the string-net space introduced in the papers of Levin and Wen. In particular, the case of surfaces with boundary is considered in detail.","authors_text":"Alexander Kirillov Jr","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-29T19:30:55Z","title":"String-net model of Turaev-Viro invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6033","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":"sha256:99d9249e5350471e5274e37f45a0efdaea48e226c10448b42bc72a716491722e","target":"record","created_at":"2026-05-18T04:19:04Z","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":"ea0e60d1abab754ed450ef22fcd54e680c4ea3463173cb37a93277bf2103f3df","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-29T19:30:55Z","title_canon_sha256":"54e75cd7ae7807a6749159b8fb0164a78e327bcdc1a01ca0d5886e2afdc56482"},"schema_version":"1.0","source":{"id":"1106.6033","kind":"arxiv","version":1}},"canonical_sha256":"7e05d790129628320ead1b5cde442d286e15917494fc3b12a52eb01ec049c6c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e05d790129628320ead1b5cde442d286e15917494fc3b12a52eb01ec049c6c5","first_computed_at":"2026-05-18T04:19:04.671422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:04.671422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BOvtQTShyXgVskOsQh7PlZCtEiuYogrdTtJ43WoD5A/a0CLXKUFjJ11L781M/VJVaCvPhR7BIZAK8zDha63CDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:04.671835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.6033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99d9249e5350471e5274e37f45a0efdaea48e226c10448b42bc72a716491722e","sha256:1a883e387946e08623c03d2655bd873ec5054048bbc8ad101ba4754b7855bc43"],"state_sha256":"24e7d904ac60bf696035782cb1ad8a9e6632e5ad86c04eacda0169d7114970b4"}