{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:S23E4K3AJWQJNQQSW3KW5XT4F2","short_pith_number":"pith:S23E4K3A","canonical_record":{"source":{"id":"hep-th/0504051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-04-06T11:17:24Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"1599e542934c4b5af4654b972c56a19334eaf2b527c9d6eb0723b7ef78c3ac2d","abstract_canon_sha256":"878d93f360f2cb113406b211d33a64bbe295cfa4fb6c305b4849d4c1a554bdb8"},"schema_version":"1.0"},"canonical_sha256":"96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66","source":{"kind":"arxiv","id":"hep-th/0504051","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0504051","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0504051v1","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0504051","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_12","alias_value":"S23E4K3AJWQJ","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_16","alias_value":"S23E4K3AJWQJNQQS","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_8","alias_value":"S23E4K3A","created_at":"2026-07-04T16:56:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:S23E4K3AJWQJNQQSW3KW5XT4F2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0504051","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-04-06T11:17:24Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"1599e542934c4b5af4654b972c56a19334eaf2b527c9d6eb0723b7ef78c3ac2d","abstract_canon_sha256":"878d93f360f2cb113406b211d33a64bbe295cfa4fb6c305b4849d4c1a554bdb8"},"schema_version":"1.0"},"canonical_sha256":"96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:56:08.463516Z","signature_b64":"C+gWKLOGuQ++zTbevinRirB95Xg2uWrwr/5kEKbbt/E88wK1CdX4tHpafUqYDZOeiHEKDSDvgxo9NbZUyH6BCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66","last_reissued_at":"2026-07-04T16:56:08.463124Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:56:08.463124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0504051","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":"2026-07-04T16:56:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1rKxFPkF769BpPpTAdNTlKNbhiqugGpQa20AjWUbGuusjLaSrAIAajWQoEjsfirtK4ocpLlB3Czeg8GtfCYzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:30:16.546470Z"},"content_sha256":"c6dbf1aab1439279d0d831b8586c72eca2dba7cbde524349524e4b550849a15f","schema_version":"1.0","event_id":"sha256:c6dbf1aab1439279d0d831b8586c72eca2dba7cbde524349524e4b550849a15f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:S23E4K3AJWQJNQQSW3KW5XT4F2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three loop MSbar renormalization of QCD in the maximal abelian gauge","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"J.A. Gracey","submitted_at":"2005-04-06T11:17:24Z","abstract_excerpt":"We determine the three loop anomalous dimensions of the quark, centre and off-diagonal gluons, centre and off-diagonal ghosts and the gauge fixing parameters in the maximal abelian gauge for an arbitrary colour group in the MSbar renormalization scheme at three loops. We show that the three loop MSbar beta-function emerges from the renormalization of the centre gluon and also deduce the anomalous dimension of the BRST invariant dimension two mass operator. Moreover, we demonstrate that in the limit that the dimension of the centre of the group tends to zero, the anomalous dimensions of the qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0504051","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0504051/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":"2026-07-04T16:56:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vwwlBB7HHuZQTO/ZSsE8AlZPJNiXP1fGg5SaqVDMjCjTQZxH23LWT5UW61YJdpkX9M2YEcnxYwWcJQjgb4eDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:30:16.547241Z"},"content_sha256":"56614bf1abec617d07facfb9908ec97c8ddfa00f4d82c353b40edf2e0f99e3c0","schema_version":"1.0","event_id":"sha256:56614bf1abec617d07facfb9908ec97c8ddfa00f4d82c353b40edf2e0f99e3c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/bundle.json","state_url":"https://pith.science/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/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":"2026-08-15T17:30:16Z","links":{"resolver":"https://pith.science/pith/S23E4K3AJWQJNQQSW3KW5XT4F2","bundle":"https://pith.science/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/bundle.json","state":"https://pith.science/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S23E4K3AJWQJNQQSW3KW5XT4F2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:S23E4K3AJWQJNQQSW3KW5XT4F2","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":"878d93f360f2cb113406b211d33a64bbe295cfa4fb6c305b4849d4c1a554bdb8","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-04-06T11:17:24Z","title_canon_sha256":"1599e542934c4b5af4654b972c56a19334eaf2b527c9d6eb0723b7ef78c3ac2d"},"schema_version":"1.0","source":{"id":"hep-th/0504051","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0504051","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0504051v1","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0504051","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_12","alias_value":"S23E4K3AJWQJ","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_16","alias_value":"S23E4K3AJWQJNQQS","created_at":"2026-07-04T16:56:08Z"},{"alias_kind":"pith_short_8","alias_value":"S23E4K3A","created_at":"2026-07-04T16:56:08Z"}],"graph_snapshots":[{"event_id":"sha256:56614bf1abec617d07facfb9908ec97c8ddfa00f4d82c353b40edf2e0f99e3c0","target":"graph","created_at":"2026-07-04T16:56:08Z","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/hep-th/0504051/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the three loop anomalous dimensions of the quark, centre and off-diagonal gluons, centre and off-diagonal ghosts and the gauge fixing parameters in the maximal abelian gauge for an arbitrary colour group in the MSbar renormalization scheme at three loops. We show that the three loop MSbar beta-function emerges from the renormalization of the centre gluon and also deduce the anomalous dimension of the BRST invariant dimension two mass operator. Moreover, we demonstrate that in the limit that the dimension of the centre of the group tends to zero, the anomalous dimensions of the qua","authors_text":"J.A. Gracey","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-04-06T11:17:24Z","title":"Three loop MSbar renormalization of QCD in the maximal abelian gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0504051","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:c6dbf1aab1439279d0d831b8586c72eca2dba7cbde524349524e4b550849a15f","target":"record","created_at":"2026-07-04T16:56:08Z","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":"878d93f360f2cb113406b211d33a64bbe295cfa4fb6c305b4849d4c1a554bdb8","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2005-04-06T11:17:24Z","title_canon_sha256":"1599e542934c4b5af4654b972c56a19334eaf2b527c9d6eb0723b7ef78c3ac2d"},"schema_version":"1.0","source":{"id":"hep-th/0504051","kind":"arxiv","version":1}},"canonical_sha256":"96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96b64e2b604da096c212b6d56ede7c2eb3edfad93e5806d6709e49e2a0511b66","first_computed_at":"2026-07-04T16:56:08.463124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:08.463124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C+gWKLOGuQ++zTbevinRirB95Xg2uWrwr/5kEKbbt/E88wK1CdX4tHpafUqYDZOeiHEKDSDvgxo9NbZUyH6BCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:08.463516Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0504051","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6dbf1aab1439279d0d831b8586c72eca2dba7cbde524349524e4b550849a15f","sha256:56614bf1abec617d07facfb9908ec97c8ddfa00f4d82c353b40edf2e0f99e3c0"],"state_sha256":"2c49adc8284e731175f74b5898ba8e52341e501975a469a14aaecc8809517952"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pwF5uRbE59KVD2k1P7tzHH5n8tTjNrt7r2BpcNzJcjlTDGpxSOj/qVQ0xpkKngPW+JZDV2HIptvRIRFRPoLbDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T17:30:16.604155Z","bundle_sha256":"46a3167e64462a3f9391173120c53d2d5a3af4820ff44eaaafa55e67daefd7aa"}}