{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3HXQAFY443O4ZFOROZJHWRONB6","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":"6bd250e5bec11071d79188ce7817baa514cf494e3820a6e5c055d06b12d7f27c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-29T07:37:50Z","title_canon_sha256":"261b862b7233f2e665b84bdb96c02021df56bb906d1b019fd14197501bf6b884"},"schema_version":"1.0","source":{"id":"2407.19757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.19757","created_at":"2026-07-05T08:49:44Z"},{"alias_kind":"arxiv_version","alias_value":"2407.19757v1","created_at":"2026-07-05T08:49:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.19757","created_at":"2026-07-05T08:49:44Z"},{"alias_kind":"pith_short_12","alias_value":"3HXQAFY443O4","created_at":"2026-07-05T08:49:44Z"},{"alias_kind":"pith_short_16","alias_value":"3HXQAFY443O4ZFOR","created_at":"2026-07-05T08:49:44Z"},{"alias_kind":"pith_short_8","alias_value":"3HXQAFY4","created_at":"2026-07-05T08:49:44Z"}],"graph_snapshots":[{"event_id":"sha256:b21f1aaacb7cd30b7315c6576ce2ceb47c8b3a8de1c3d78419df2ef03ef94984","target":"graph","created_at":"2026-07-05T08:49:44Z","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/2407.19757/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present a geometric description of foams, which are prevalent in topological quantum field theories (TQFTs) based on quantum algebra, and reciprocally explore the geometry of Rozansky-Witten (RW) theory from an algebraic perspective. This approach illuminates various aspects of decorated TQFTs via geometry of the target space $X$ of RW theory. Through the formulation of the Knizhnik-Zamolodchikov (KZ) equation within this geometric framework, we derive the corresponding braiding and associator morphisms. We discuss applications where the target space of RW theory emerges as t","authors_text":"Babak Haghighat, Nicolai Reshetikhin, Sergei Gukov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-29T07:37:50Z","title":"Foams and KZ-equations in Rozansky-Witten theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.19757","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:f9f1da0a2ff176187d985aa753d0550242c25583b67270686e9232966c0e056f","target":"record","created_at":"2026-07-05T08:49:44Z","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":"6bd250e5bec11071d79188ce7817baa514cf494e3820a6e5c055d06b12d7f27c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-29T07:37:50Z","title_canon_sha256":"261b862b7233f2e665b84bdb96c02021df56bb906d1b019fd14197501bf6b884"},"schema_version":"1.0","source":{"id":"2407.19757","kind":"arxiv","version":1}},"canonical_sha256":"d9ef00171ce6ddcc95d176527b45cd0fad7c2628cc904d32141b9f6b40edd9d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9ef00171ce6ddcc95d176527b45cd0fad7c2628cc904d32141b9f6b40edd9d7","first_computed_at":"2026-07-05T08:49:44.105068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:49:44.105068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dQh0yyLGOAH89fMy3K/bQLfhoSGBDv6DE+Oa+tm1SlNA37JdIsc6rbRVjdYz3KLGmF4O5iDQ+629Ix9xe014Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:49:44.105482Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.19757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9f1da0a2ff176187d985aa753d0550242c25583b67270686e9232966c0e056f","sha256:b21f1aaacb7cd30b7315c6576ce2ceb47c8b3a8de1c3d78419df2ef03ef94984"],"state_sha256":"c0736e5b14ed672ffd16e6d19b945f2061c2c33951923ff568efffb15eb4ca2d"}