{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4UBDAIKEDY3XSCSLIGHWA425E4","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":"0e8f210cfd56ac795bc8bfc3e48281e23872bf7ed3eb6ffab63decc5f6a4fd12","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-12T02:09:48Z","title_canon_sha256":"0d0e3b60fd2367e35f55fb4290077d7bf147dcd0bba7d81b5e185fab786cc3ae"},"schema_version":"1.0","source":{"id":"2205.05837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.05837","created_at":"2026-07-05T04:22:42Z"},{"alias_kind":"arxiv_version","alias_value":"2205.05837v1","created_at":"2026-07-05T04:22:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.05837","created_at":"2026-07-05T04:22:42Z"},{"alias_kind":"pith_short_12","alias_value":"4UBDAIKEDY3X","created_at":"2026-07-05T04:22:42Z"},{"alias_kind":"pith_short_16","alias_value":"4UBDAIKEDY3XSCSL","created_at":"2026-07-05T04:22:42Z"},{"alias_kind":"pith_short_8","alias_value":"4UBDAIKE","created_at":"2026-07-05T04:22:42Z"}],"graph_snapshots":[{"event_id":"sha256:6279b1ffd4487560ba60f64be25ddaa92f7ee39e2a42ed938e08b7b63ef5e31b","target":"graph","created_at":"2026-07-05T04:22:42Z","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/2205.05837/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Group field theories are quantum field theories built on groups. They can be seen as a tool to generate topological state-sums or quantum gravity models. For four dimensional manifolds, different arguments have pointed towards 2-groups (such as crossed modules) as the relevant symmetry structure to probe four dimensional topological features. Here, we introduce a group field theory built on crossed modules which generate a four dimensional topological model, as we prove that the Feynman diagram amplitudes can be related by Pachner moves. This model is presumably the dual version of the Yetter-","authors_text":"Adrian Tanasa, Florian Girelli, Matteo Laudonio, Panagiotis Tsimiklis","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-12T02:09:48Z","title":"Group field theory on 2-groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.05837","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:be55d2f98986e0098ec51c2d48dba55696516629ed1559d0f9476897aaa2b14a","target":"record","created_at":"2026-07-05T04:22:42Z","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":"0e8f210cfd56ac795bc8bfc3e48281e23872bf7ed3eb6ffab63decc5f6a4fd12","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2022-05-12T02:09:48Z","title_canon_sha256":"0d0e3b60fd2367e35f55fb4290077d7bf147dcd0bba7d81b5e185fab786cc3ae"},"schema_version":"1.0","source":{"id":"2205.05837","kind":"arxiv","version":1}},"canonical_sha256":"e5023021441e37790a4b418f60735d273ded240109ee201e04113e8b789ad949","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5023021441e37790a4b418f60735d273ded240109ee201e04113e8b789ad949","first_computed_at":"2026-07-05T04:22:42.610705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:22:42.610705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GM/5+EFtvq6mGUbt7MVXQWDiO6054fZkbyKkBWwAVUZ0oVVfA2z/Hsy/3+6uP0qWRklL7ukANcknCMpfE7tSDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:22:42.611076Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.05837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be55d2f98986e0098ec51c2d48dba55696516629ed1559d0f9476897aaa2b14a","sha256:6279b1ffd4487560ba60f64be25ddaa92f7ee39e2a42ed938e08b7b63ef5e31b"],"state_sha256":"d378988d2d51d48742926a1bc452b5a0d33aa9ee62ca0cf5ddb1f58f99918b11"}