{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OWASO6WFQIQJXEGYVOKZ4GO5DW","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":"77d4f742b8c84abc1011bc12231b06ceb9a6657cc4e8900fd5036f4a7ec0ac91","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-10-27T15:58:32Z","title_canon_sha256":"ebcbd06e27fb49b249e656077192f0e1f589bdfcf3fa203bc3a910f684946f47"},"schema_version":"1.0","source":{"id":"1710.10214","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10214","created_at":"2026-07-05T02:51:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10214v2","created_at":"2026-07-05T02:51:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10214","created_at":"2026-07-05T02:51:04Z"},{"alias_kind":"pith_short_12","alias_value":"OWASO6WFQIQJ","created_at":"2026-07-05T02:51:04Z"},{"alias_kind":"pith_short_16","alias_value":"OWASO6WFQIQJXEGY","created_at":"2026-07-05T02:51:04Z"},{"alias_kind":"pith_short_8","alias_value":"OWASO6WF","created_at":"2026-07-05T02:51:04Z"}],"graph_snapshots":[{"event_id":"sha256:a317290e979320a2168b534f41154c9ca1f61351cf973f44fc059765d28a37f7","target":"graph","created_at":"2026-07-05T02:51:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1710.10214/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A modular tensor category $\\mathcal{C}$ gives rise to a Reshetikhin-Turaev type topological quantum field theory which is defined on 3-dimensional bordisms with embedded $\\mathcal{C}$-coloured ribbon graphs. We extend this construction to include bordisms with surface defects which in turn can meet along line defects. The surface defects are labelled by $\\Delta$-separable symmetric Frobenius algebras and the line defects by \"multi-modules\" which are equivariant with respect to a cyclic group action. Our invariant cannot distinguish non-isotopic embeddings of 2-spheres, but we give an example w","authors_text":"Gregor Schaumann, Ingo Runkel, Nils Carqueville","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-10-27T15:58:32Z","title":"Line and surface defects in Reshetikhin-Turaev TQFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10214","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:fbfc40923f68c996e7274ac633aae88df5207fd8e7825c385c1cc660c2865f4d","target":"record","created_at":"2026-07-05T02:51:04Z","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":"77d4f742b8c84abc1011bc12231b06ceb9a6657cc4e8900fd5036f4a7ec0ac91","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-10-27T15:58:32Z","title_canon_sha256":"ebcbd06e27fb49b249e656077192f0e1f589bdfcf3fa203bc3a910f684946f47"},"schema_version":"1.0","source":{"id":"1710.10214","kind":"arxiv","version":2}},"canonical_sha256":"7581277ac582209b90d8ab959e19dd1db7933c8a4377641b3e3a9419ec2b1ef7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7581277ac582209b90d8ab959e19dd1db7933c8a4377641b3e3a9419ec2b1ef7","first_computed_at":"2026-07-05T02:51:04.463833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:51:04.463833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5tw5RxSa7FrOz+A/9Fozkp5PjfIiJ/QwXUbWrX+1BXXWbBs0CCV6XZMVtm16BP1ZvHFwsDT5CAIzigkXZEfuBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:51:04.464191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10214","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbfc40923f68c996e7274ac633aae88df5207fd8e7825c385c1cc660c2865f4d","sha256:a317290e979320a2168b534f41154c9ca1f61351cf973f44fc059765d28a37f7"],"state_sha256":"08c8d2b16136730bed5d6c8e26c05755228c68191699873497f25c8230f52a92"}