{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YQISJ7IFZ3EWNMKAJEX2JAG7TL","short_pith_number":"pith:YQISJ7IF","canonical_record":{"source":{"id":"1104.5706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-29T19:39:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c8c1b47264d9a36e45779413c178376e200290f0c9c7e96d1b33668d31121c29","abstract_canon_sha256":"ae4503f800a0d4b100b3a5e2c69156ee0e765d5e8a254806f84eb642037cb344"},"schema_version":"1.0"},"canonical_sha256":"c41124fd05cec966b140492fa480df9af269bfa12730f860c3bf02783769be0e","source":{"kind":"arxiv","id":"1104.5706","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5706","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5706v1","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5706","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"pith_short_12","alias_value":"YQISJ7IFZ3EW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YQISJ7IFZ3EWNMKA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YQISJ7IF","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YQISJ7IFZ3EWNMKAJEX2JAG7TL","target":"record","payload":{"canonical_record":{"source":{"id":"1104.5706","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-29T19:39:59Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c8c1b47264d9a36e45779413c178376e200290f0c9c7e96d1b33668d31121c29","abstract_canon_sha256":"ae4503f800a0d4b100b3a5e2c69156ee0e765d5e8a254806f84eb642037cb344"},"schema_version":"1.0"},"canonical_sha256":"c41124fd05cec966b140492fa480df9af269bfa12730f860c3bf02783769be0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:13.609641Z","signature_b64":"GHrE6kKLC9D1QiFFtpBWKsJepAvEHkR0B+MJ4oBKZm400CvYQ1Y5stA9yX2ur7oySLc94agQgkqP87qyHoN+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c41124fd05cec966b140492fa480df9af269bfa12730f860c3bf02783769be0e","last_reissued_at":"2026-05-18T04:23:13.608997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:13.608997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.5706","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:23:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U216LmPakRnUVxYWmz4lJLoiGAM4ociN/0ACzy2EbtJCvK7g8RduY5TsuWbv+d3wGTqlaZi+RrxdCAeToljDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:20:31.297072Z"},"content_sha256":"c6ff4c6863b5a0dbb4a602d768e725232ec6492b2d39a96245f7dda7fef6159a","schema_version":"1.0","event_id":"sha256:c6ff4c6863b5a0dbb4a602d768e725232ec6492b2d39a96245f7dda7fef6159a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YQISJ7IFZ3EWNMKAJEX2JAG7TL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultraviolet Complete Quantum Field Theory and Gauge Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"J. W. Moffat","submitted_at":"2011-04-29T19:39:59Z","abstract_excerpt":"The problem of gauge invariance in an ultraviolet complete quantum field theory (QFT) with nonlocal interactions is investigated. For local fields that couple through a nonlocal interaction, it is demonstrated that the quantum electrodynamic (QED) sector of the electroweak (EW) model without a Higgs particle is gauge invariant. The non-Abelian QFT with massless gluons and nonlocal interactions is shown to be gauge invariant, and a perturbative S-matrix formalism in the interaction representation is investigated. The finite self-energy of a fermion and vacuum polarization are derived to first o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5706","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T04:23:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NGBDr/+ZeRyhfyfaacLkOtFSSvu0y4F4q1ATzHRBEwlDL7ebWxLsAZWZxA/cVA1rc5mdSbA4Or5pn6EbfLAHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:20:31.297736Z"},"content_sha256":"dd6c4681a176ab306caf0c240dc25a1caaceb726d8f9baf9667eaa4ad41087b7","schema_version":"1.0","event_id":"sha256:dd6c4681a176ab306caf0c240dc25a1caaceb726d8f9baf9667eaa4ad41087b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/bundle.json","state_url":"https://pith.science/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/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":"2026-05-27T23:20:31Z","links":{"resolver":"https://pith.science/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL","bundle":"https://pith.science/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/bundle.json","state":"https://pith.science/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YQISJ7IFZ3EWNMKAJEX2JAG7TL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YQISJ7IFZ3EWNMKAJEX2JAG7TL","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":"ae4503f800a0d4b100b3a5e2c69156ee0e765d5e8a254806f84eb642037cb344","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-29T19:39:59Z","title_canon_sha256":"c8c1b47264d9a36e45779413c178376e200290f0c9c7e96d1b33668d31121c29"},"schema_version":"1.0","source":{"id":"1104.5706","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.5706","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"arxiv_version","alias_value":"1104.5706v1","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5706","created_at":"2026-05-18T04:23:13Z"},{"alias_kind":"pith_short_12","alias_value":"YQISJ7IFZ3EW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YQISJ7IFZ3EWNMKA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YQISJ7IF","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:dd6c4681a176ab306caf0c240dc25a1caaceb726d8f9baf9667eaa4ad41087b7","target":"graph","created_at":"2026-05-18T04:23:13Z","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"},"paper":{"abstract_excerpt":"The problem of gauge invariance in an ultraviolet complete quantum field theory (QFT) with nonlocal interactions is investigated. For local fields that couple through a nonlocal interaction, it is demonstrated that the quantum electrodynamic (QED) sector of the electroweak (EW) model without a Higgs particle is gauge invariant. The non-Abelian QFT with massless gluons and nonlocal interactions is shown to be gauge invariant, and a perturbative S-matrix formalism in the interaction representation is investigated. The finite self-energy of a fermion and vacuum polarization are derived to first o","authors_text":"J. W. Moffat","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-29T19:39:59Z","title":"Ultraviolet Complete Quantum Field Theory and Gauge Invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5706","kind":"arxiv","version":1},"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:c6ff4c6863b5a0dbb4a602d768e725232ec6492b2d39a96245f7dda7fef6159a","target":"record","created_at":"2026-05-18T04:23:13Z","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":"ae4503f800a0d4b100b3a5e2c69156ee0e765d5e8a254806f84eb642037cb344","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-29T19:39:59Z","title_canon_sha256":"c8c1b47264d9a36e45779413c178376e200290f0c9c7e96d1b33668d31121c29"},"schema_version":"1.0","source":{"id":"1104.5706","kind":"arxiv","version":1}},"canonical_sha256":"c41124fd05cec966b140492fa480df9af269bfa12730f860c3bf02783769be0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c41124fd05cec966b140492fa480df9af269bfa12730f860c3bf02783769be0e","first_computed_at":"2026-05-18T04:23:13.608997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:13.608997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GHrE6kKLC9D1QiFFtpBWKsJepAvEHkR0B+MJ4oBKZm400CvYQ1Y5stA9yX2ur7oySLc94agQgkqP87qyHoN+Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:13.609641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.5706","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ff4c6863b5a0dbb4a602d768e725232ec6492b2d39a96245f7dda7fef6159a","sha256:dd6c4681a176ab306caf0c240dc25a1caaceb726d8f9baf9667eaa4ad41087b7"],"state_sha256":"632b9c37b0d383f7b6d6123f89d3e7a42ab2f84e67b5efbfe861cae82cb656b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2XBZ3tA04R3FjJQ/tzwld6tg+uAcUWkz7ZNHSlrN5P4O7oIypZB93jYl7Ag+ttUQmG4P3vtbd8OE/Ai3j/GoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:20:31.300882Z","bundle_sha256":"73e630af787b151c7e6330fcc6e682f875984b4335cbebb72849e554c19f7184"}}