{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PJ6PQJD3XQBKADXNH2KTOVJWV3","short_pith_number":"pith:PJ6PQJD3","canonical_record":{"source":{"id":"2301.07112","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-01-17T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"9d618091810223126f6c5b38c5368e2edd6e8033df88afe5f4fc6d2800f8749f","abstract_canon_sha256":"b62a5ca2a60dbdb085091e73c5d4ff75eef4791a54e512bccbc146a1fc381350"},"schema_version":"1.0"},"canonical_sha256":"7a7cf8247bbc02a00eed3e95375536aef7250cc95dc23b4c30d4c4e60536eaee","source":{"kind":"arxiv","id":"2301.07112","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.07112","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"2301.07112v1","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.07112","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"PJ6PQJD3XQBK","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_16","alias_value":"PJ6PQJD3XQBKADXN","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_8","alias_value":"PJ6PQJD3","created_at":"2026-07-05T05:34:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PJ6PQJD3XQBKADXNH2KTOVJWV3","target":"record","payload":{"canonical_record":{"source":{"id":"2301.07112","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-01-17T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"9d618091810223126f6c5b38c5368e2edd6e8033df88afe5f4fc6d2800f8749f","abstract_canon_sha256":"b62a5ca2a60dbdb085091e73c5d4ff75eef4791a54e512bccbc146a1fc381350"},"schema_version":"1.0"},"canonical_sha256":"7a7cf8247bbc02a00eed3e95375536aef7250cc95dc23b4c30d4c4e60536eaee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:34:05.671687Z","signature_b64":"Be5S8LT/b+m85rjDX19tk0e0qF9zOc9zGGNWRdQytAI2x0FaCIYalS11YxIdMqoBMmtidWTEmESOvMt+jLlzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a7cf8247bbc02a00eed3e95375536aef7250cc95dc23b4c30d4c4e60536eaee","last_reissued_at":"2026-07-05T05:34:05.671197Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:34:05.671197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.07112","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Amgy8dfBNwAKD/Js276TPquw31pi3f7Ga8+Tu5LqdFBt9EBsJKTp0eWvNThfmb1muzCq+n8xmwqpLO2XJYv7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T11:12:05.417318Z"},"content_sha256":"bf6eaf80272ac3b111c25c8674aa067b838ee1e9909a0e5984e0f6347d9e2d6d","schema_version":"1.0","event_id":"sha256:bf6eaf80272ac3b111c25c8674aa067b838ee1e9909a0e5984e0f6347d9e2d6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PJ6PQJD3XQBKADXNH2KTOVJWV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry TFTs and Anomalies of Non-Invertible Symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Emily Nardoni, Gabi Zafrir, Justin Kaidi, Yunqin Zheng","submitted_at":"2023-01-17T19:00:01Z","abstract_excerpt":"It is known that the 't Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be understood for non-invertible symmetries. In this note we discuss how the linking invariants in a non-invertible TQFT known as the Symmetry TFT (SymTFT) can be used as a diagnostic for 't Hooft anomalies of non-invertible symmetries. When the non-invertible symmetry is non-intrinsically non-invertible, and hence the SymTFT is a Dijkgraaf-Witten model, the linking invariants can be computed explicitly. We illustrate thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.07112","kind":"arxiv","version":1},"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/2301.07112/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKx8J6nGqJdTExnjuhQXmH0tOTfW2tmFdwsDE2DKyI+y6vd/PPOOdLdwToJ3DOT88BBEnoElfzkZqjrkYCU+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T11:12:05.418259Z"},"content_sha256":"844f7c0128c18eb59f990cd8f9727a66211603210e850ff27b1177ce2fd40f83","schema_version":"1.0","event_id":"sha256:844f7c0128c18eb59f990cd8f9727a66211603210e850ff27b1177ce2fd40f83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/bundle.json","state_url":"https://pith.science/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T11:12:05Z","links":{"resolver":"https://pith.science/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3","bundle":"https://pith.science/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/bundle.json","state":"https://pith.science/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PJ6PQJD3XQBKADXNH2KTOVJWV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PJ6PQJD3XQBKADXNH2KTOVJWV3","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":"b62a5ca2a60dbdb085091e73c5d4ff75eef4791a54e512bccbc146a1fc381350","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-01-17T19:00:01Z","title_canon_sha256":"9d618091810223126f6c5b38c5368e2edd6e8033df88afe5f4fc6d2800f8749f"},"schema_version":"1.0","source":{"id":"2301.07112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.07112","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"2301.07112v1","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.07112","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"PJ6PQJD3XQBK","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_16","alias_value":"PJ6PQJD3XQBKADXN","created_at":"2026-07-05T05:34:05Z"},{"alias_kind":"pith_short_8","alias_value":"PJ6PQJD3","created_at":"2026-07-05T05:34:05Z"}],"graph_snapshots":[{"event_id":"sha256:844f7c0128c18eb59f990cd8f9727a66211603210e850ff27b1177ce2fd40f83","target":"graph","created_at":"2026-07-05T05:34:05Z","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/2301.07112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is known that the 't Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be understood for non-invertible symmetries. In this note we discuss how the linking invariants in a non-invertible TQFT known as the Symmetry TFT (SymTFT) can be used as a diagnostic for 't Hooft anomalies of non-invertible symmetries. When the non-invertible symmetry is non-intrinsically non-invertible, and hence the SymTFT is a Dijkgraaf-Witten model, the linking invariants can be computed explicitly. We illustrate thi","authors_text":"Emily Nardoni, Gabi Zafrir, Justin Kaidi, Yunqin Zheng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-01-17T19:00:01Z","title":"Symmetry TFTs and Anomalies of Non-Invertible Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.07112","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:bf6eaf80272ac3b111c25c8674aa067b838ee1e9909a0e5984e0f6347d9e2d6d","target":"record","created_at":"2026-07-05T05:34:05Z","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":"b62a5ca2a60dbdb085091e73c5d4ff75eef4791a54e512bccbc146a1fc381350","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-01-17T19:00:01Z","title_canon_sha256":"9d618091810223126f6c5b38c5368e2edd6e8033df88afe5f4fc6d2800f8749f"},"schema_version":"1.0","source":{"id":"2301.07112","kind":"arxiv","version":1}},"canonical_sha256":"7a7cf8247bbc02a00eed3e95375536aef7250cc95dc23b4c30d4c4e60536eaee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a7cf8247bbc02a00eed3e95375536aef7250cc95dc23b4c30d4c4e60536eaee","first_computed_at":"2026-07-05T05:34:05.671197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:34:05.671197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Be5S8LT/b+m85rjDX19tk0e0qF9zOc9zGGNWRdQytAI2x0FaCIYalS11YxIdMqoBMmtidWTEmESOvMt+jLlzAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:34:05.671687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.07112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf6eaf80272ac3b111c25c8674aa067b838ee1e9909a0e5984e0f6347d9e2d6d","sha256:844f7c0128c18eb59f990cd8f9727a66211603210e850ff27b1177ce2fd40f83"],"state_sha256":"101fd6e6d1896884486a869804631ed40a78b91039ec53a58f764c4775bf3386"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lTVdyt4QAWceAnKRYuH7REDUdhnWOPx2m0RTJXYLlqDQvhD5nm3E8GotYB120v3/CsaB7dvElyiuuKI2bubFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T11:12:05.427298Z","bundle_sha256":"1a7cdc32d6a583ed246e870da90a71bc65f866ecb67a974c461cdb627c7ab6da"}}