{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3373EAVARN6NMUVQHIZUGHSWW4","short_pith_number":"pith:3373EAVA","canonical_record":{"source":{"id":"1506.06227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T11:02:26Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"234cb5fb6bc5bbf7dbb4d73f48eda892388d790aa3b810db5dbe635d71359903","abstract_canon_sha256":"b057a070c7cac85e6ebfeb30e4f2a5d21ee606c8ad2839c03820b2fc4ff48eb6"},"schema_version":"1.0"},"canonical_sha256":"deffb202a08b7cd652b03a33431e56b735f6c2d2b09a13f56de1fc1871c5abc3","source":{"kind":"arxiv","id":"1506.06227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06227","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06227v1","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06227","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"3373EAVARN6N","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3373EAVARN6NMUVQ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3373EAVA","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3373EAVARN6NMUVQHIZUGHSWW4","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T11:02:26Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"234cb5fb6bc5bbf7dbb4d73f48eda892388d790aa3b810db5dbe635d71359903","abstract_canon_sha256":"b057a070c7cac85e6ebfeb30e4f2a5d21ee606c8ad2839c03820b2fc4ff48eb6"},"schema_version":"1.0"},"canonical_sha256":"deffb202a08b7cd652b03a33431e56b735f6c2d2b09a13f56de1fc1871c5abc3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:10.532122Z","signature_b64":"iz4L0aApIMvhjhCh/wwu+PArd3WFi7tXo5Qh7S1oqSCVF1IC1mi+7FNXs06Bm/NG2rcc76KpDswC1xn/l/TaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deffb202a08b7cd652b03a33431e56b735f6c2d2b09a13f56de1fc1871c5abc3","last_reissued_at":"2026-05-18T01:10:10.531722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:10.531722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06227","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":"2026-05-18T01:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2q+otKv4tcdAzRt4qefx1gPWavmDVM4gMdXjQPJ9H8/HnQMUpGrRgsHrnLXgK4ucGEuefcMCczPXQUdbt9lzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:46:56.042098Z"},"content_sha256":"815bf9e05ec744f3ec534eed76b95da965a800f28a6447fd3bb9847b0e824d7a","schema_version":"1.0","event_id":"sha256:815bf9e05ec744f3ec534eed76b95da965a800f28a6447fd3bb9847b0e824d7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3373EAVARN6NMUVQHIZUGHSWW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite quantum gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Leonardo Modesto, Leslaw Rachwal, Marco Piva","submitted_at":"2015-06-20T11:02:26Z","abstract_excerpt":"We explicitly compute the one-loop exact beta function for a nonlocal extension of the standard gauge theory, in particular Yang-Mills and QED. The theory, made of a weakly nonlocal kinetic term and a local potential of the gauge field, is unitary (ghost-free) and perturbatively super-renormalizable. Moreover, in the action we can always choose the potential (consisting of one \"killer operator\") to make zero the beta function of running gauge coupling constant. The outcome is \"a UV finite theory for any gauge interaction\". Our calculations are done in D=4, but the results can be generalized to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06227","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":"2026-05-18T01:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wP3D4x6XTKuqm8Re5F5zMYGYbqEEzhHLOrcaH/EPOr5pYc6beM+BVIWuxOCI+YtWYprn/yWUuGSRo5N2OurBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:46:56.042770Z"},"content_sha256":"bd09523d5ccd2ce9b21c9f9c0d099c40b515f7c9ab70f9087d2d3c328a147938","schema_version":"1.0","event_id":"sha256:bd09523d5ccd2ce9b21c9f9c0d099c40b515f7c9ab70f9087d2d3c328a147938"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3373EAVARN6NMUVQHIZUGHSWW4/bundle.json","state_url":"https://pith.science/pith/3373EAVARN6NMUVQHIZUGHSWW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3373EAVARN6NMUVQHIZUGHSWW4/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":"2026-05-25T23:46:56Z","links":{"resolver":"https://pith.science/pith/3373EAVARN6NMUVQHIZUGHSWW4","bundle":"https://pith.science/pith/3373EAVARN6NMUVQHIZUGHSWW4/bundle.json","state":"https://pith.science/pith/3373EAVARN6NMUVQHIZUGHSWW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3373EAVARN6NMUVQHIZUGHSWW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3373EAVARN6NMUVQHIZUGHSWW4","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":"b057a070c7cac85e6ebfeb30e4f2a5d21ee606c8ad2839c03820b2fc4ff48eb6","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T11:02:26Z","title_canon_sha256":"234cb5fb6bc5bbf7dbb4d73f48eda892388d790aa3b810db5dbe635d71359903"},"schema_version":"1.0","source":{"id":"1506.06227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06227","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06227v1","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06227","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"3373EAVARN6N","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3373EAVARN6NMUVQ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3373EAVA","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:bd09523d5ccd2ce9b21c9f9c0d099c40b515f7c9ab70f9087d2d3c328a147938","target":"graph","created_at":"2026-05-18T01:10:10Z","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":"We explicitly compute the one-loop exact beta function for a nonlocal extension of the standard gauge theory, in particular Yang-Mills and QED. The theory, made of a weakly nonlocal kinetic term and a local potential of the gauge field, is unitary (ghost-free) and perturbatively super-renormalizable. Moreover, in the action we can always choose the potential (consisting of one \"killer operator\") to make zero the beta function of running gauge coupling constant. The outcome is \"a UV finite theory for any gauge interaction\". Our calculations are done in D=4, but the results can be generalized to","authors_text":"Leonardo Modesto, Leslaw Rachwal, Marco Piva","cross_cats":["hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T11:02:26Z","title":"Finite quantum gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06227","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":"sha256:815bf9e05ec744f3ec534eed76b95da965a800f28a6447fd3bb9847b0e824d7a","target":"record","created_at":"2026-05-18T01:10:10Z","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":"b057a070c7cac85e6ebfeb30e4f2a5d21ee606c8ad2839c03820b2fc4ff48eb6","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-20T11:02:26Z","title_canon_sha256":"234cb5fb6bc5bbf7dbb4d73f48eda892388d790aa3b810db5dbe635d71359903"},"schema_version":"1.0","source":{"id":"1506.06227","kind":"arxiv","version":1}},"canonical_sha256":"deffb202a08b7cd652b03a33431e56b735f6c2d2b09a13f56de1fc1871c5abc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deffb202a08b7cd652b03a33431e56b735f6c2d2b09a13f56de1fc1871c5abc3","first_computed_at":"2026-05-18T01:10:10.531722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:10.531722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iz4L0aApIMvhjhCh/wwu+PArd3WFi7tXo5Qh7S1oqSCVF1IC1mi+7FNXs06Bm/NG2rcc76KpDswC1xn/l/TaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:10.532122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:815bf9e05ec744f3ec534eed76b95da965a800f28a6447fd3bb9847b0e824d7a","sha256:bd09523d5ccd2ce9b21c9f9c0d099c40b515f7c9ab70f9087d2d3c328a147938"],"state_sha256":"b89023a8fcc0bfee9c0e7b7ee96eb221a6ed4dc31565da72b918eae9e13e547a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kbv8AFLMV14QyilU1lbVfImVyq0GPXXG+/JgCM/GhUkl1qtSvYX5zAS1BdvjnFeFRVACMOCPX/v4DZzDaYtQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:46:56.046379Z","bundle_sha256":"ad3ad6c13bf07a9d6d8edd2a6550fabedf224794d0105ce41550f7bb227d200c"}}