{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HHXC7YVWD4CH2TCWDYEGP3LCRT","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":"7565a77f569e66a79e2f01a4aa78934955a1fc7c5873971cb97da59a62543ecd","cross_cats_sorted":["cond-mat.str-el","hep-th","math.CT","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T18:00:00Z","title_canon_sha256":"ff0169990e7a56aaa96976e5b96f8878e75f1a26be2e6d5cae4330015e880981"},"schema_version":"1.0","source":{"id":"2508.10978","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10978","created_at":"2026-06-09T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10978v4","created_at":"2026-06-09T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10978","created_at":"2026-06-09T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"HHXC7YVWD4CH","created_at":"2026-06-09T02:07:06Z"},{"alias_kind":"pith_short_16","alias_value":"HHXC7YVWD4CH2TCW","created_at":"2026-06-09T02:07:06Z"},{"alias_kind":"pith_short_8","alias_value":"HHXC7YVW","created_at":"2026-06-09T02:07:06Z"}],"graph_snapshots":[{"event_id":"sha256:a1efd5083a00a825ca7fce8f50f4cb574c49e13073d02a6e0222135f59ad3755","target":"graph","created_at":"2026-06-09T02:07:06Z","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/2508.10978/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a general version of the crystalline equivalence principle which gives an equivalence of categories between a category of TQFTs defined on a generic space with $G$-symmetry, and a category of TQFTs with internal symmetry. We give a definition and classification of anomalies associated to TQFTs in the presence of spatial symmetry, which we then generalize to a definition of an anomaly for a categorical symmetry.","authors_text":"Devon Stockall, Matthew Yu","cross_cats":["cond-mat.str-el","hep-th","math.CT","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T18:00:00Z","title":"A Generalized Crystalline Equivalence Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10978","kind":"arxiv","version":4},"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:b81f8cd44be8440c59e4dabed13d3703caa8e29bb3331e296eac7717cf61360c","target":"record","created_at":"2026-06-09T02:07:06Z","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":"7565a77f569e66a79e2f01a4aa78934955a1fc7c5873971cb97da59a62543ecd","cross_cats_sorted":["cond-mat.str-el","hep-th","math.CT","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T18:00:00Z","title_canon_sha256":"ff0169990e7a56aaa96976e5b96f8878e75f1a26be2e6d5cae4330015e880981"},"schema_version":"1.0","source":{"id":"2508.10978","kind":"arxiv","version":4}},"canonical_sha256":"39ee2fe2b61f047d4c561e0867ed628cea86d7f2642088917817ccf27f1af200","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39ee2fe2b61f047d4c561e0867ed628cea86d7f2642088917817ccf27f1af200","first_computed_at":"2026-06-09T02:07:06.522136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:07:06.522136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pnbEXAU7gREr+MzAiCZkx1OFFp+fE+Igr+B9suwHYR019Phm7uVDinHrQGG2ggcw9grwimjQq30lFQ7J/ZEHAQ==","signature_status":"signed_v1","signed_at":"2026-06-09T02:07:06.523404Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.10978","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b81f8cd44be8440c59e4dabed13d3703caa8e29bb3331e296eac7717cf61360c","sha256:a1efd5083a00a825ca7fce8f50f4cb574c49e13073d02a6e0222135f59ad3755"],"state_sha256":"e13256e944dc770c815018a29fe6cc427597be6641729fb4466927ca110f1ba9"}