{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:RQBYNT2EIHMMQSBCNYFN3VTJMS","short_pith_number":"pith:RQBYNT2E","canonical_record":{"source":{"id":"2504.16998","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-23T18:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"8f4fc9e357d35c0becb6d368bf6c4f39109c276a11d3da6175b37e21dbb5e89e","abstract_canon_sha256":"1d5e63d77839605b9c4cafccda5b952c29eb27b93654eb015633710734ff33ad"},"schema_version":"1.0"},"canonical_sha256":"8c0386cf4441d8c848226e0addd66964b4de48d9a67adb26908db6ae1cff7c6c","source":{"kind":"arxiv","id":"2504.16998","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.16998","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"2504.16998v2","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16998","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"RQBYNT2EIHMM","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_16","alias_value":"RQBYNT2EIHMMQSBC","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_8","alias_value":"RQBYNT2E","created_at":"2026-07-05T11:48:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:RQBYNT2EIHMMQSBCNYFN3VTJMS","target":"record","payload":{"canonical_record":{"source":{"id":"2504.16998","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-23T18:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"8f4fc9e357d35c0becb6d368bf6c4f39109c276a11d3da6175b37e21dbb5e89e","abstract_canon_sha256":"1d5e63d77839605b9c4cafccda5b952c29eb27b93654eb015633710734ff33ad"},"schema_version":"1.0"},"canonical_sha256":"8c0386cf4441d8c848226e0addd66964b4de48d9a67adb26908db6ae1cff7c6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:25.381064Z","signature_b64":"jwtO36tHUfNRfwZEMVX6kzra8Wl1dZe0PhSalvlMXIO5ny3uprdS7IxorbvZK5O1pNpeLxmT3yyurTXHTLSADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c0386cf4441d8c848226e0addd66964b4de48d9a67adb26908db6ae1cff7c6c","last_reissued_at":"2026-07-05T11:48:25.380580Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:25.380580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.16998","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":"2026-07-05T11:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzglJ0NG9rYxnNlF4v+CWF0dX5uDnH2be96ulTreZvux1OlzWvXQPr1HUs2/QsPPIumQhtcdK3o7jf6gTMNMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:24:34.461820Z"},"content_sha256":"a3ebd4fcae1ac5077510626d01f90c56dc30ccbc74af876c457d96a662e474c9","schema_version":"1.0","event_id":"sha256:a3ebd4fcae1ac5077510626d01f90c56dc30ccbc74af876c457d96a662e474c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:RQBYNT2EIHMMQSBCNYFN3VTJMS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometrizing the Anomaly","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Christopher B. Verhaaren, John Terning, Joshua Newey","submitted_at":"2025-04-23T18:00:04Z","abstract_excerpt":"Recently a manifestly gauge invariant formalism for calculating amplitudes in quantum electrodynamics was outlined in which the field strength, rather than the gauge potential, is used as the propagating field. To demonstrate the utility of this formalism we calculate the axial and gauge anomalies explicitly in theories with both electrically and magnetically charged particles. Usually the gauge anomaly is identified as an amplitude that (in certain theories) fails to be gauge invariant, so it seems particularly enlightening to understand it in a manifestly gauge invariant formalism. We find t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16998","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/2504.16998/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":"2026-07-05T11:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9Pba7Vi0vZAVvKhDkSafA4yMOnNpy4mR+uhyFVMLILTkmwVIRbz9u3ILdG/OgVzuVGERmxkyD3GXw/PXC6TCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:24:34.462352Z"},"content_sha256":"a177f5119c2a4727039fcd00bf2349154259e11213849d5993651a75703a7a7d","schema_version":"1.0","event_id":"sha256:a177f5119c2a4727039fcd00bf2349154259e11213849d5993651a75703a7a7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/bundle.json","state_url":"https://pith.science/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/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":"2026-08-17T19:24:34Z","links":{"resolver":"https://pith.science/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS","bundle":"https://pith.science/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/bundle.json","state":"https://pith.science/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQBYNT2EIHMMQSBCNYFN3VTJMS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:RQBYNT2EIHMMQSBCNYFN3VTJMS","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":"1d5e63d77839605b9c4cafccda5b952c29eb27b93654eb015633710734ff33ad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-23T18:00:04Z","title_canon_sha256":"8f4fc9e357d35c0becb6d368bf6c4f39109c276a11d3da6175b37e21dbb5e89e"},"schema_version":"1.0","source":{"id":"2504.16998","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.16998","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"2504.16998v2","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16998","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"RQBYNT2EIHMM","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_16","alias_value":"RQBYNT2EIHMMQSBC","created_at":"2026-07-05T11:48:25Z"},{"alias_kind":"pith_short_8","alias_value":"RQBYNT2E","created_at":"2026-07-05T11:48:25Z"}],"graph_snapshots":[{"event_id":"sha256:a177f5119c2a4727039fcd00bf2349154259e11213849d5993651a75703a7a7d","target":"graph","created_at":"2026-07-05T11:48:25Z","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/2504.16998/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently a manifestly gauge invariant formalism for calculating amplitudes in quantum electrodynamics was outlined in which the field strength, rather than the gauge potential, is used as the propagating field. To demonstrate the utility of this formalism we calculate the axial and gauge anomalies explicitly in theories with both electrically and magnetically charged particles. Usually the gauge anomaly is identified as an amplitude that (in certain theories) fails to be gauge invariant, so it seems particularly enlightening to understand it in a manifestly gauge invariant formalism. We find t","authors_text":"Christopher B. Verhaaren, John Terning, Joshua Newey","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-23T18:00:04Z","title":"Geometrizing the Anomaly"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16998","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:a3ebd4fcae1ac5077510626d01f90c56dc30ccbc74af876c457d96a662e474c9","target":"record","created_at":"2026-07-05T11:48:25Z","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":"1d5e63d77839605b9c4cafccda5b952c29eb27b93654eb015633710734ff33ad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-23T18:00:04Z","title_canon_sha256":"8f4fc9e357d35c0becb6d368bf6c4f39109c276a11d3da6175b37e21dbb5e89e"},"schema_version":"1.0","source":{"id":"2504.16998","kind":"arxiv","version":2}},"canonical_sha256":"8c0386cf4441d8c848226e0addd66964b4de48d9a67adb26908db6ae1cff7c6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c0386cf4441d8c848226e0addd66964b4de48d9a67adb26908db6ae1cff7c6c","first_computed_at":"2026-07-05T11:48:25.380580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:48:25.380580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jwtO36tHUfNRfwZEMVX6kzra8Wl1dZe0PhSalvlMXIO5ny3uprdS7IxorbvZK5O1pNpeLxmT3yyurTXHTLSADg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:48:25.381064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.16998","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3ebd4fcae1ac5077510626d01f90c56dc30ccbc74af876c457d96a662e474c9","sha256:a177f5119c2a4727039fcd00bf2349154259e11213849d5993651a75703a7a7d"],"state_sha256":"7f6bde491a943e9c50c417df178f3678b06adc37247bbffe6b820fde4dd8ccab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4pDE2iPLdkN49Ol85XXKKT3FCiC8TEKpvzI+xnOhl2vvrpqcaiuhztPheOipvaxVOS6G/zIT37ZNdSZu0kgYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T19:24:34.467104Z","bundle_sha256":"02ac1a7ed58b010e9f56c1ae69ed78782a0383f97f4cdb0f5eebae9a88069be3"}}