{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EXRRD2UPTRLRKQ6FEETTQ3GPXY","short_pith_number":"pith:EXRRD2UP","canonical_record":{"source":{"id":"2602.16582","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-02-18T16:29:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"61d405d5f932b100b0c9c00abb2164f74c085906dfab7b0a85a9a042c999a2ba","abstract_canon_sha256":"9eb13e5b3c2415b911574fd5eb5f1a5fd5486f29f39167b99b5470176e6cfc27"},"schema_version":"1.0"},"canonical_sha256":"25e311ea8f9c571543c52127386ccfbe0a71d1f335f36238a3dda5b8dabda71d","source":{"kind":"arxiv","id":"2602.16582","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.16582","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"arxiv_version","alias_value":"2602.16582v2","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.16582","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_12","alias_value":"EXRRD2UPTRLR","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_16","alias_value":"EXRRD2UPTRLRKQ6F","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_8","alias_value":"EXRRD2UP","created_at":"2026-07-07T01:16:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EXRRD2UPTRLRKQ6FEETTQ3GPXY","target":"record","payload":{"canonical_record":{"source":{"id":"2602.16582","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-02-18T16:29:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"61d405d5f932b100b0c9c00abb2164f74c085906dfab7b0a85a9a042c999a2ba","abstract_canon_sha256":"9eb13e5b3c2415b911574fd5eb5f1a5fd5486f29f39167b99b5470176e6cfc27"},"schema_version":"1.0"},"canonical_sha256":"25e311ea8f9c571543c52127386ccfbe0a71d1f335f36238a3dda5b8dabda71d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T01:16:05.996584Z","signature_b64":"Eb7+IA5flfkgzE69WpPHQiVi6cm637Wxf0N7JX58hVzRa/3UDWL87O1z+Mtp9tB8TTcEcUZuigJuEUR5P4/CDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25e311ea8f9c571543c52127386ccfbe0a71d1f335f36238a3dda5b8dabda71d","last_reissued_at":"2026-07-07T01:16:05.995594Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T01:16:05.995594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.16582","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-07T01:16:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WOrnvFUy45LQSEaklOl7MLaaDa5VPaSZtbck26c82AYcIJ5KIuMzEnxW5PjJ85z+qaSSOUYqradHgvmhktnNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-14T01:14:31.284149Z"},"content_sha256":"7221576f3f0ffa765002176b9fac615d05100e603804bc534553035ebecca32d","schema_version":"1.0","event_id":"sha256:7221576f3f0ffa765002176b9fac615d05100e603804bc534553035ebecca32d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EXRRD2UPTRLRKQ6FEETTQ3GPXY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"M2-branes, Higher Form Symmetries and 1-Gerbes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"\\'Alvaro Restuccia, Fabi\\'an Caro-P\\'erez, Mar\\'ia Pilar Garc\\'ia del Moral","submitted_at":"2026-02-18T16:29:10Z","abstract_excerpt":"Higher-Form Symmetries (HFS) of a closed bosonic M2-brane formulated on a compactified target space $\\mathcal{M}_9 \\times T^2$ are investigated. We show that there is an obstruction to the gauging of these global symmetries in the presence of background fields, a mixed 't~Hooft anomaly. Its cancellation is obtained by the inflow term constructed in terms of gauge fields which are flat connections on a $U(1)$-principal bundle and a torsion $\\mathcal{G}_1^{\\nabla_c}$-gerbe on the M2-brane worldvolume. The effect of these gauge structures together with non trivial winding embedding maps ensures t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.16582","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/2602.16582/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":"2026-07-07T01:16:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"596yBwQG18ZdAwiktgR2BLSgrGuOlQBmJsycaOD/WPLZEhc2Kp+4BUbSUIbKgb4PykjxUN0259pF3a3EK6j6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-14T01:14:31.284543Z"},"content_sha256":"4c72c71682ab3af7ac72c16de68c477cfbe217cfaf1bab63c7ab7410bc8b4911","schema_version":"1.0","event_id":"sha256:4c72c71682ab3af7ac72c16de68c477cfbe217cfaf1bab63c7ab7410bc8b4911"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/bundle.json","state_url":"https://pith.science/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/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":"2026-07-14T01:14:31Z","links":{"resolver":"https://pith.science/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY","bundle":"https://pith.science/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/bundle.json","state":"https://pith.science/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXRRD2UPTRLRKQ6FEETTQ3GPXY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EXRRD2UPTRLRKQ6FEETTQ3GPXY","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":"9eb13e5b3c2415b911574fd5eb5f1a5fd5486f29f39167b99b5470176e6cfc27","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-02-18T16:29:10Z","title_canon_sha256":"61d405d5f932b100b0c9c00abb2164f74c085906dfab7b0a85a9a042c999a2ba"},"schema_version":"1.0","source":{"id":"2602.16582","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.16582","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"arxiv_version","alias_value":"2602.16582v2","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.16582","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_12","alias_value":"EXRRD2UPTRLR","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_16","alias_value":"EXRRD2UPTRLRKQ6F","created_at":"2026-07-07T01:16:05Z"},{"alias_kind":"pith_short_8","alias_value":"EXRRD2UP","created_at":"2026-07-07T01:16:05Z"}],"graph_snapshots":[{"event_id":"sha256:4c72c71682ab3af7ac72c16de68c477cfbe217cfaf1bab63c7ab7410bc8b4911","target":"graph","created_at":"2026-07-07T01:16:05Z","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/2602.16582/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Higher-Form Symmetries (HFS) of a closed bosonic M2-brane formulated on a compactified target space $\\mathcal{M}_9 \\times T^2$ are investigated. We show that there is an obstruction to the gauging of these global symmetries in the presence of background fields, a mixed 't~Hooft anomaly. Its cancellation is obtained by the inflow term constructed in terms of gauge fields which are flat connections on a $U(1)$-principal bundle and a torsion $\\mathcal{G}_1^{\\nabla_c}$-gerbe on the M2-brane worldvolume. The effect of these gauge structures together with non trivial winding embedding maps ensures t","authors_text":"\\'Alvaro Restuccia, Fabi\\'an Caro-P\\'erez, Mar\\'ia Pilar Garc\\'ia del Moral","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-02-18T16:29:10Z","title":"M2-branes, Higher Form Symmetries and 1-Gerbes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.16582","kind":"arxiv","version":2},"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":"sha256:7221576f3f0ffa765002176b9fac615d05100e603804bc534553035ebecca32d","target":"record","created_at":"2026-07-07T01:16:05Z","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":"9eb13e5b3c2415b911574fd5eb5f1a5fd5486f29f39167b99b5470176e6cfc27","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-02-18T16:29:10Z","title_canon_sha256":"61d405d5f932b100b0c9c00abb2164f74c085906dfab7b0a85a9a042c999a2ba"},"schema_version":"1.0","source":{"id":"2602.16582","kind":"arxiv","version":2}},"canonical_sha256":"25e311ea8f9c571543c52127386ccfbe0a71d1f335f36238a3dda5b8dabda71d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25e311ea8f9c571543c52127386ccfbe0a71d1f335f36238a3dda5b8dabda71d","first_computed_at":"2026-07-07T01:16:05.995594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T01:16:05.995594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eb7+IA5flfkgzE69WpPHQiVi6cm637Wxf0N7JX58hVzRa/3UDWL87O1z+Mtp9tB8TTcEcUZuigJuEUR5P4/CDA==","signature_status":"signed_v1","signed_at":"2026-07-07T01:16:05.996584Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.16582","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7221576f3f0ffa765002176b9fac615d05100e603804bc534553035ebecca32d","sha256:4c72c71682ab3af7ac72c16de68c477cfbe217cfaf1bab63c7ab7410bc8b4911"],"state_sha256":"bd35980a44abc68293820469154dc4598b17d669ae00cc165dc4da39300290fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vHiTiVYGO+8fDEq6xYioJ/KiA7QSO8MvxHWqwTK20x825Ixmp/X6HdDHBnp2D0HTynlRYNaOmcdIWsMMPxswCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-14T01:14:31.286577Z","bundle_sha256":"fee0968161f0de7061bffda85c73da4092099d311370e9d8764d5a468117f470"}}