{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FQ7AQMMBLQKVH4NP753WCPIFEP","short_pith_number":"pith:FQ7AQMMB","canonical_record":{"source":{"id":"2106.07654","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-14T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"f2dcf7391e4a553dbe6cb811ee1dddb18177e025eabc03deb5cf4275eff7867d","abstract_canon_sha256":"1f979f0f95ebf598ac4ee060be19f1d6fd7048a384b49db50d296a53a803ac25"},"schema_version":"1.0"},"canonical_sha256":"2c3e0831815c1553f1afff77613d0523ec56c201d8c7cb2a02e90796659df9c1","source":{"kind":"arxiv","id":"2106.07654","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.07654","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"2106.07654v2","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.07654","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"FQ7AQMMBLQKV","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_16","alias_value":"FQ7AQMMBLQKVH4NP","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_8","alias_value":"FQ7AQMMB","created_at":"2026-07-05T03:45:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FQ7AQMMBLQKVH4NP753WCPIFEP","target":"record","payload":{"canonical_record":{"source":{"id":"2106.07654","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-14T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"f2dcf7391e4a553dbe6cb811ee1dddb18177e025eabc03deb5cf4275eff7867d","abstract_canon_sha256":"1f979f0f95ebf598ac4ee060be19f1d6fd7048a384b49db50d296a53a803ac25"},"schema_version":"1.0"},"canonical_sha256":"2c3e0831815c1553f1afff77613d0523ec56c201d8c7cb2a02e90796659df9c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:34.385386Z","signature_b64":"lTSH2wk4zbMEdS2YhXFo6wcNm9TYRyeyVe01DCIWsq1t/Pg0yWtP6YNrcEf6mZwDZHiqNxGpC8PpBtbZWeOgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c3e0831815c1553f1afff77613d0523ec56c201d8c7cb2a02e90796659df9c1","last_reissued_at":"2026-07-05T03:45:34.384922Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:34.384922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.07654","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":"2026-07-05T03:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QIvHg+Bp4x93KNjtGoW84VtEnbIEX4ufCUw/Hx/8nvhcSqjWqJlgzqBnPc+veZSQwTKwulq9EwBaunxbDJPsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:21:30.957044Z"},"content_sha256":"c7f28abdaff40fe5d33d4e001f6f4e3c7a119acedeeb3aca0adb7167160534a9","schema_version":"1.0","event_id":"sha256:c7f28abdaff40fe5d33d4e001f6f4e3c7a119acedeeb3aca0adb7167160534a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FQ7AQMMBLQKVH4NP753WCPIFEP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hao Y. Zhang, Ling Lin, Markus Dierigl, Mirjam Cvetic","submitted_at":"2021-06-14T18:00:00Z","abstract_excerpt":"We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary $G_4$-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.07654","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/2106.07654/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":"2026-07-05T03:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zAO/R1o5wIeAaM3MsKcAKh4o27UDwfaI6uzWHFqQCcs/zfLfNk6zYKofY6rzCTqzVb7m2ed45Y++Ipzo7XBkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:21:30.957941Z"},"content_sha256":"7f1b3189601dbb79c36899b4af582773dca2105ce51992972874c9c2d4d4ca29","schema_version":"1.0","event_id":"sha256:7f1b3189601dbb79c36899b4af582773dca2105ce51992972874c9c2d4d4ca29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/bundle.json","state_url":"https://pith.science/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/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":"2026-08-04T04:21:30Z","links":{"resolver":"https://pith.science/pith/FQ7AQMMBLQKVH4NP753WCPIFEP","bundle":"https://pith.science/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/bundle.json","state":"https://pith.science/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQ7AQMMBLQKVH4NP753WCPIFEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FQ7AQMMBLQKVH4NP753WCPIFEP","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":"1f979f0f95ebf598ac4ee060be19f1d6fd7048a384b49db50d296a53a803ac25","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-14T18:00:00Z","title_canon_sha256":"f2dcf7391e4a553dbe6cb811ee1dddb18177e025eabc03deb5cf4275eff7867d"},"schema_version":"1.0","source":{"id":"2106.07654","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.07654","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"2106.07654v2","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.07654","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"FQ7AQMMBLQKV","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_16","alias_value":"FQ7AQMMBLQKVH4NP","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_8","alias_value":"FQ7AQMMB","created_at":"2026-07-05T03:45:34Z"}],"graph_snapshots":[{"event_id":"sha256:7f1b3189601dbb79c36899b4af582773dca2105ce51992972874c9c2d4d4ca29","target":"graph","created_at":"2026-07-05T03:45:34Z","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/2106.07654/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary $G_4$-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be int","authors_text":"Hao Y. Zhang, Ling Lin, Markus Dierigl, Mirjam Cvetic","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-14T18:00:00Z","title":"Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.07654","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:c7f28abdaff40fe5d33d4e001f6f4e3c7a119acedeeb3aca0adb7167160534a9","target":"record","created_at":"2026-07-05T03:45:34Z","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":"1f979f0f95ebf598ac4ee060be19f1d6fd7048a384b49db50d296a53a803ac25","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-14T18:00:00Z","title_canon_sha256":"f2dcf7391e4a553dbe6cb811ee1dddb18177e025eabc03deb5cf4275eff7867d"},"schema_version":"1.0","source":{"id":"2106.07654","kind":"arxiv","version":2}},"canonical_sha256":"2c3e0831815c1553f1afff77613d0523ec56c201d8c7cb2a02e90796659df9c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c3e0831815c1553f1afff77613d0523ec56c201d8c7cb2a02e90796659df9c1","first_computed_at":"2026-07-05T03:45:34.384922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:34.384922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lTSH2wk4zbMEdS2YhXFo6wcNm9TYRyeyVe01DCIWsq1t/Pg0yWtP6YNrcEf6mZwDZHiqNxGpC8PpBtbZWeOgCA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:34.385386Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.07654","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7f28abdaff40fe5d33d4e001f6f4e3c7a119acedeeb3aca0adb7167160534a9","sha256:7f1b3189601dbb79c36899b4af582773dca2105ce51992972874c9c2d4d4ca29"],"state_sha256":"fc04ae32b5e40bdd779093d02a8e8400c7c38c80ce7eba6bd8b7514a9032721f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pbd8htNp4WTOx1nUIq7soQx6FzktqmU/b2+d1rj7cvg68QZn3UR9hFXQFaWntAaWnfGo4lbwXaSVYEPkuomkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:21:30.972660Z","bundle_sha256":"4a4cba5826fb2b40151f068e556cdcd56f9233ee7384fdf4bd7d4c76f9d12dc3"}}