{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:XCCYQ2KZDOCVNC664TYFNDZ2SZ","short_pith_number":"pith:XCCYQ2KZ","schema_version":"1.0","canonical_sha256":"b8858869591b85568bdee4f0568f3a96665bf53d656e79b00008a2700ce469a8","source":{"kind":"arxiv","id":"2001.11938","version":2},"attestation_state":"computed","paper":{"title":"TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ryan Thorngren","submitted_at":"2020-01-31T16:28:31Z","abstract_excerpt":"We derive a canonical form for 2-group gauge theory in 3+1D which shows they are either equivalent to Dijkgraaf-Witten theory or to the so-called \"EF1\" topological order of Lan-Wen. According to that classification, recently argued from a different point of view by Johnson-Freyd, this amounts to a very large class of all 3+1D TQFTs. We use this canonical form to compute all possible anomalies of 2-group gauge theory which may occur without spontaneous symmetry breaking, providing a converse of the recent symmetry-enforced-gaplessness constraints of C\\'ordova-Ohmori and also uncovering some pos"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2001.11938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-31T16:28:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2f975b32a043bb8eff423d0711e8fd990930c535fede63d50481a208617f2e36","abstract_canon_sha256":"3b2a1e9a79164e8ffd1e5f98d6a84caf68def00f6bcb602fdd7c617f001a6689"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:14:36.688638Z","signature_b64":"O4JundxIfyoRO5GKryrxmCogBcxtMmh0Rw3HNxFdeNMCcD2krMqv3m+GIMaHIuA/Lbyc9typSvS3uG9f+TYKAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8858869591b85568bdee4f0568f3a96665bf53d656e79b00008a2700ce469a8","last_reissued_at":"2026-07-05T01:14:36.688132Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:14:36.688132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ryan Thorngren","submitted_at":"2020-01-31T16:28:31Z","abstract_excerpt":"We derive a canonical form for 2-group gauge theory in 3+1D which shows they are either equivalent to Dijkgraaf-Witten theory or to the so-called \"EF1\" topological order of Lan-Wen. According to that classification, recently argued from a different point of view by Johnson-Freyd, this amounts to a very large class of all 3+1D TQFTs. We use this canonical form to compute all possible anomalies of 2-group gauge theory which may occur without spontaneous symmetry breaking, providing a converse of the recent symmetry-enforced-gaplessness constraints of C\\'ordova-Ohmori and also uncovering some pos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.11938","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2001.11938/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2001.11938","created_at":"2026-07-05T01:14:36.688194+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.11938v2","created_at":"2026-07-05T01:14:36.688194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.11938","created_at":"2026-07-05T01:14:36.688194+00:00"},{"alias_kind":"pith_short_12","alias_value":"XCCYQ2KZDOCV","created_at":"2026-07-05T01:14:36.688194+00:00"},{"alias_kind":"pith_short_16","alias_value":"XCCYQ2KZDOCVNC66","created_at":"2026-07-05T01:14:36.688194+00:00"},{"alias_kind":"pith_short_8","alias_value":"XCCYQ2KZ","created_at":"2026-07-05T01:14:36.688194+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.17708","citing_title":"Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function","ref_index":73,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ","json":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ.json","graph_json":"https://pith.science/api/pith-number/XCCYQ2KZDOCVNC664TYFNDZ2SZ/graph.json","events_json":"https://pith.science/api/pith-number/XCCYQ2KZDOCVNC664TYFNDZ2SZ/events.json","paper":"https://pith.science/paper/XCCYQ2KZ"},"agent_actions":{"view_html":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ","download_json":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ.json","view_paper":"https://pith.science/paper/XCCYQ2KZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.11938&json=true","fetch_graph":"https://pith.science/api/pith-number/XCCYQ2KZDOCVNC664TYFNDZ2SZ/graph.json","fetch_events":"https://pith.science/api/pith-number/XCCYQ2KZDOCVNC664TYFNDZ2SZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ/action/storage_attestation","attest_author":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ/action/author_attestation","sign_citation":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ/action/citation_signature","submit_replication":"https://pith.science/pith/XCCYQ2KZDOCVNC664TYFNDZ2SZ/action/replication_record"}},"created_at":"2026-07-05T01:14:36.688194+00:00","updated_at":"2026-07-05T01:14:36.688194+00:00"}