{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:BOILU6KKPKWGHVXK3XPYXJTBNE","short_pith_number":"pith:BOILU6KK","schema_version":"1.0","canonical_sha256":"0b90ba794a7aac63d6eadddf8ba6616924b3c9dbd86c12b7b099f53258ba7896","source":{"kind":"arxiv","id":"hep-ph/0511254","version":2},"attestation_state":"computed","paper":{"title":"Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.R. Pennington, R. Williams","submitted_at":"2005-11-22T13:51:17Z","abstract_excerpt":"Some time ago Takahashi derived so called {\\it transverse} relations relating Green's functions of different orders to complement the well-known Ward-Green-Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion-boson vertex in terms of the renormalization functions of the fermion propagator. He & Yu have given an indicative proof at one-loop level in 4-dimensions. However, their construct involves the 4th rank Levi-Civita tensor defined only unambiguously in 4-dimensions exactly where t"},"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":"hep-ph/0511254","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-11-22T13:51:17Z","cross_cats_sorted":[],"title_canon_sha256":"0c35062222cc66bb472db5bfe90c460c6110465442308c5a7a2d0c43d18afc45","abstract_canon_sha256":"f108af8ff6468b4412c7ed63a2b8bd1e70861aac4357b08fa13efeb946df7722"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:54.741021Z","signature_b64":"CfR3SGVInEu4MDI641sQoLaNUloW49kAsFqpLaOtjaQcbsyvbqPVVacIdHz8Z5D7Ui2DnFKjxN3MZXmmUZJjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b90ba794a7aac63d6eadddf8ba6616924b3c9dbd86c12b7b099f53258ba7896","last_reissued_at":"2026-07-04T16:55:54.740672Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:54.740672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M.R. Pennington, R. Williams","submitted_at":"2005-11-22T13:51:17Z","abstract_excerpt":"Some time ago Takahashi derived so called {\\it transverse} relations relating Green's functions of different orders to complement the well-known Ward-Green-Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion-boson vertex in terms of the renormalization functions of the fermion propagator. He & Yu have given an indicative proof at one-loop level in 4-dimensions. However, their construct involves the 4th rank Levi-Civita tensor defined only unambiguously in 4-dimensions exactly where t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0511254","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/hep-ph/0511254/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":"hep-ph/0511254","created_at":"2026-07-04T16:55:54.740737+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0511254v2","created_at":"2026-07-04T16:55:54.740737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0511254","created_at":"2026-07-04T16:55:54.740737+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOILU6KKPKWG","created_at":"2026-07-04T16:55:54.740737+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOILU6KKPKWGHVXK","created_at":"2026-07-04T16:55:54.740737+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOILU6KK","created_at":"2026-07-04T16:55:54.740737+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE","json":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE.json","graph_json":"https://pith.science/api/pith-number/BOILU6KKPKWGHVXK3XPYXJTBNE/graph.json","events_json":"https://pith.science/api/pith-number/BOILU6KKPKWGHVXK3XPYXJTBNE/events.json","paper":"https://pith.science/paper/BOILU6KK"},"agent_actions":{"view_html":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE","download_json":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE.json","view_paper":"https://pith.science/paper/BOILU6KK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0511254&json=true","fetch_graph":"https://pith.science/api/pith-number/BOILU6KKPKWGHVXK3XPYXJTBNE/graph.json","fetch_events":"https://pith.science/api/pith-number/BOILU6KKPKWGHVXK3XPYXJTBNE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE/action/storage_attestation","attest_author":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE/action/author_attestation","sign_citation":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE/action/citation_signature","submit_replication":"https://pith.science/pith/BOILU6KKPKWGHVXK3XPYXJTBNE/action/replication_record"}},"created_at":"2026-07-04T16:55:54.740737+00:00","updated_at":"2026-07-04T16:55:54.740737+00:00"}