{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:G7RRNONE4RRAQ47XOJSTS74F7H","short_pith_number":"pith:G7RRNONE","schema_version":"1.0","canonical_sha256":"37e316b9a4e4620873f77265397f85f9f39792ec59b8f5a9100f76e03fe47d14","source":{"kind":"arxiv","id":"2011.10102","version":3},"attestation_state":"computed","paper":{"title":"The algebra of anomaly interplay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Joe Davighi, Nakarin Lohitsiri","submitted_at":"2020-11-19T20:53:18Z","abstract_excerpt":"We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting of short exact sequences known to classify invertible field theories. We study various examples of the phenomenon in 2, 4, and 6 dimensions. We also describe how this understanding of anomaly interplay provides a rigorous bordism-based version of an old method for calculating global anomalies (starting from local anomalies in a related theory) due to Elitzur and Nair."},"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":"2011.10102","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-19T20:53:18Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"49b4a674fff888c350aee28621526bdc76e8aee0ef2f18683ce5904ebd7eba3d","abstract_canon_sha256":"fa8902586ea7dcc2f389b61a9a74fa4bc68f4d3c986f6d5a6afecb74f4e59a62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:27:31.279775Z","signature_b64":"2oz/vvQ276m7tPxNIIzIS5Vu8kUZIKYpvmKyAk1+UHAq5DfIBx3u5l5j4873nkjOtmbgBo5MujYRP8lvSqoOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37e316b9a4e4620873f77265397f85f9f39792ec59b8f5a9100f76e03fe47d14","last_reissued_at":"2026-07-05T02:27:31.279305Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:27:31.279305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The algebra of anomaly interplay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Joe Davighi, Nakarin Lohitsiri","submitted_at":"2020-11-19T20:53:18Z","abstract_excerpt":"We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting of short exact sequences known to classify invertible field theories. We study various examples of the phenomenon in 2, 4, and 6 dimensions. We also describe how this understanding of anomaly interplay provides a rigorous bordism-based version of an old method for calculating global anomalies (starting from local anomalies in a related theory) due to Elitzur and Nair."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.10102","kind":"arxiv","version":3},"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/2011.10102/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":"2011.10102","created_at":"2026-07-05T02:27:31.279370+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.10102v3","created_at":"2026-07-05T02:27:31.279370+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.10102","created_at":"2026-07-05T02:27:31.279370+00:00"},{"alias_kind":"pith_short_12","alias_value":"G7RRNONE4RRA","created_at":"2026-07-05T02:27:31.279370+00:00"},{"alias_kind":"pith_short_16","alias_value":"G7RRNONE4RRAQ47X","created_at":"2026-07-05T02:27:31.279370+00:00"},{"alias_kind":"pith_short_8","alias_value":"G7RRNONE","created_at":"2026-07-05T02:27:31.279370+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.09223","citing_title":"Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\\mu\\nu}$","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H","json":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H.json","graph_json":"https://pith.science/api/pith-number/G7RRNONE4RRAQ47XOJSTS74F7H/graph.json","events_json":"https://pith.science/api/pith-number/G7RRNONE4RRAQ47XOJSTS74F7H/events.json","paper":"https://pith.science/paper/G7RRNONE"},"agent_actions":{"view_html":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H","download_json":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H.json","view_paper":"https://pith.science/paper/G7RRNONE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.10102&json=true","fetch_graph":"https://pith.science/api/pith-number/G7RRNONE4RRAQ47XOJSTS74F7H/graph.json","fetch_events":"https://pith.science/api/pith-number/G7RRNONE4RRAQ47XOJSTS74F7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H/action/storage_attestation","attest_author":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H/action/author_attestation","sign_citation":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H/action/citation_signature","submit_replication":"https://pith.science/pith/G7RRNONE4RRAQ47XOJSTS74F7H/action/replication_record"}},"created_at":"2026-07-05T02:27:31.279370+00:00","updated_at":"2026-07-05T02:27:31.279370+00:00"}