{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EOVI7Q772AV2I637PJRFBZF2LT","short_pith_number":"pith:EOVI7Q77","canonical_record":{"source":{"id":"1206.6096","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-26T19:45:55Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"056c41c46c0dfd741c680b71a2f596b4bcb31429100ff3f6a49555919784bb81","abstract_canon_sha256":"92b1d3da777ffe17aff7f74a68bffb8747323446db7f4b17c89b93cab828b3c7"},"schema_version":"1.0"},"canonical_sha256":"23aa8fc3ffd02ba47b7f7a6250e4ba5ccf20e32ff72b7ae1702e332fc697ab82","source":{"kind":"arxiv","id":"1206.6096","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6096","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6096v3","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6096","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"EOVI7Q772AV2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EOVI7Q772AV2I637","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EOVI7Q77","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EOVI7Q772AV2I637PJRFBZF2LT","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6096","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-26T19:45:55Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"056c41c46c0dfd741c680b71a2f596b4bcb31429100ff3f6a49555919784bb81","abstract_canon_sha256":"92b1d3da777ffe17aff7f74a68bffb8747323446db7f4b17c89b93cab828b3c7"},"schema_version":"1.0"},"canonical_sha256":"23aa8fc3ffd02ba47b7f7a6250e4ba5ccf20e32ff72b7ae1702e332fc697ab82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:23.912497Z","signature_b64":"ANsvHBtiBMemwHA9aMC0ZZB3YZ01w6pqP8idu7GJItb2PkvAzF6z4+s6bPRtlUIxPIVA3eKfHi7hMziN6H+GCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23aa8fc3ffd02ba47b7f7a6250e4ba5ccf20e32ff72b7ae1702e332fc697ab82","last_reissued_at":"2026-05-18T03:44:23.911924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:23.911924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6096","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wostVHDic1JnlNXevoddsggE4ewRZHFw0jk2PvnsWnbmks1SAaTPxr/xMowu4u+uWVs2N08rAhsct+x+rqk7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:20:42.299839Z"},"content_sha256":"59d9741d390a1b5684f7a63e2c2db4c096e4ecf1b7ea1b8633268717dda53f58","schema_version":"1.0","event_id":"sha256:59d9741d390a1b5684f7a63e2c2db4c096e4ecf1b7ea1b8633268717dda53f58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EOVI7Q772AV2I637PJRFBZF2LT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Determining the Running Coupling from the Effective Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"A. Patrushev, D. G. C. McKeon","submitted_at":"2012-06-26T19:45:55Z","abstract_excerpt":"The conformal anomaly has provided an expression for the effective action of gauge theories in the presence of a strong background field in terms of the running coupling constant. We exploit this result to find a novel expansion for the running coupling."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6096","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":""},"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":"2026-05-18T03:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbKA5z6FHNnl5K4EfiIMe8iRcj1wlOhJKpwHqZ2wd5e2CdQmabTOeEKlMWpwOjpNadrI1hLwFVCx6WeU0dIaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:20:42.300187Z"},"content_sha256":"a18bcba86207e064c43a028889e4cc453c817359ef349e0e788e6d10c9e90634","schema_version":"1.0","event_id":"sha256:a18bcba86207e064c43a028889e4cc453c817359ef349e0e788e6d10c9e90634"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOVI7Q772AV2I637PJRFBZF2LT/bundle.json","state_url":"https://pith.science/pith/EOVI7Q772AV2I637PJRFBZF2LT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOVI7Q772AV2I637PJRFBZF2LT/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":"2026-05-20T08:20:42Z","links":{"resolver":"https://pith.science/pith/EOVI7Q772AV2I637PJRFBZF2LT","bundle":"https://pith.science/pith/EOVI7Q772AV2I637PJRFBZF2LT/bundle.json","state":"https://pith.science/pith/EOVI7Q772AV2I637PJRFBZF2LT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOVI7Q772AV2I637PJRFBZF2LT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EOVI7Q772AV2I637PJRFBZF2LT","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":"92b1d3da777ffe17aff7f74a68bffb8747323446db7f4b17c89b93cab828b3c7","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-26T19:45:55Z","title_canon_sha256":"056c41c46c0dfd741c680b71a2f596b4bcb31429100ff3f6a49555919784bb81"},"schema_version":"1.0","source":{"id":"1206.6096","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6096","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6096v3","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6096","created_at":"2026-05-18T03:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"EOVI7Q772AV2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EOVI7Q772AV2I637","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EOVI7Q77","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:a18bcba86207e064c43a028889e4cc453c817359ef349e0e788e6d10c9e90634","target":"graph","created_at":"2026-05-18T03:44:23Z","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 conformal anomaly has provided an expression for the effective action of gauge theories in the presence of a strong background field in terms of the running coupling constant. We exploit this result to find a novel expansion for the running coupling.","authors_text":"A. Patrushev, D. G. C. McKeon","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-26T19:45:55Z","title":"On Determining the Running Coupling from the Effective Action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6096","kind":"arxiv","version":3},"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":"sha256:59d9741d390a1b5684f7a63e2c2db4c096e4ecf1b7ea1b8633268717dda53f58","target":"record","created_at":"2026-05-18T03:44:23Z","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":"92b1d3da777ffe17aff7f74a68bffb8747323446db7f4b17c89b93cab828b3c7","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-26T19:45:55Z","title_canon_sha256":"056c41c46c0dfd741c680b71a2f596b4bcb31429100ff3f6a49555919784bb81"},"schema_version":"1.0","source":{"id":"1206.6096","kind":"arxiv","version":3}},"canonical_sha256":"23aa8fc3ffd02ba47b7f7a6250e4ba5ccf20e32ff72b7ae1702e332fc697ab82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23aa8fc3ffd02ba47b7f7a6250e4ba5ccf20e32ff72b7ae1702e332fc697ab82","first_computed_at":"2026-05-18T03:44:23.911924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:23.911924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ANsvHBtiBMemwHA9aMC0ZZB3YZ01w6pqP8idu7GJItb2PkvAzF6z4+s6bPRtlUIxPIVA3eKfHi7hMziN6H+GCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:23.912497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6096","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59d9741d390a1b5684f7a63e2c2db4c096e4ecf1b7ea1b8633268717dda53f58","sha256:a18bcba86207e064c43a028889e4cc453c817359ef349e0e788e6d10c9e90634"],"state_sha256":"51e92ad79560c4f0e4170aa0a7ad895b3fecb9cdf0a4967f89f4d4096164aece"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCa2IkBu81r2G75oxRMlsKgELc1eD7WCtr8K33UwWpqi/0HtURvW9INAlhKUFADAI+++Ajx1xKyxYMiz0n3GCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T08:20:42.302209Z","bundle_sha256":"cb702c60d59d11cb3a3e5903a10f5b1057ff635b667e7eb23c83960caddacaf5"}}