{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:66TDELJLWQDUJETFNAQQ6FGPI6","short_pith_number":"pith:66TDELJL","canonical_record":{"source":{"id":"hep-ph/0609084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-08T16:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"f94218108ff6109fd165c94b6773190457e01e997c84271f5f2d7677516cfbd2","abstract_canon_sha256":"486e700f0512bd5ab754127e6e67c00b537867dccf0cd5d1f53267fd47fcaf34"},"schema_version":"1.0"},"canonical_sha256":"f7a6322d2bb40744926568210f14cf47ba08d155544c0488eb229d8dd1306766","source":{"kind":"arxiv","id":"hep-ph/0609084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0609084","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0609084v1","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0609084","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"66TDELJLWQDU","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"66TDELJLWQDUJETF","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"66TDELJL","created_at":"2026-07-04T15:17:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:66TDELJLWQDUJETFNAQQ6FGPI6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0609084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-08T16:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"f94218108ff6109fd165c94b6773190457e01e997c84271f5f2d7677516cfbd2","abstract_canon_sha256":"486e700f0512bd5ab754127e6e67c00b537867dccf0cd5d1f53267fd47fcaf34"},"schema_version":"1.0"},"canonical_sha256":"f7a6322d2bb40744926568210f14cf47ba08d155544c0488eb229d8dd1306766","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:17:09.609077Z","signature_b64":"4wlEY9DHEafM6gcJoLqbRBJU9XV8Z1kZ4A0mjRYNEnb+px31k3N8+tbAjzPM1XV3596MfGwmPBkG+F51mTF6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7a6322d2bb40744926568210f14cf47ba08d155544c0488eb229d8dd1306766","last_reissued_at":"2026-07-04T15:17:09.608695Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:17:09.608695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0609084","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":"2026-07-04T15:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7vGC6tslMovX4+QQI4XJgJxT8oumIYK2r77m/bIW7OtlXG4Bhd1dAzt4gFo0l38Wz/FSs2mR8vvGKtNs0SCHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:05:16.956154Z"},"content_sha256":"398ec0b3654f1b58fb32ea9684f3b6f96125ec14cad46332185a94833b61d130","schema_version":"1.0","event_id":"sha256:398ec0b3654f1b58fb32ea9684f3b6f96125ec14cad46332185a94833b61d130"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:66TDELJLWQDUJETFNAQQ6FGPI6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Don Colladay, Patrick McDonald","submitted_at":"2006-09-08T16:21:35Z","abstract_excerpt":"The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of the Lorentz-violation parameters. In addition, the resulting beta functions indicate that the CPT-even Lorentz-violating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPT-odd terms. The calculations are performed at lowest-order in the Lorentz-violating terms as they are assumed small."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0609084","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-ph/0609084/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":"2026-07-04T15:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MK42Q1ZuaPojVNDCB0FgQOh+t2ErD8R1pMPi+LP3iIcCaCVSQnmAF1JOK+HWSjJLtxy4TjpKYeLmx/3UxpX+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:05:16.956765Z"},"content_sha256":"c64dcca9183596c154bc6dfddd5fad12b3237f19d775fd387ace7073843573b4","schema_version":"1.0","event_id":"sha256:c64dcca9183596c154bc6dfddd5fad12b3237f19d775fd387ace7073843573b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66TDELJLWQDUJETFNAQQ6FGPI6/bundle.json","state_url":"https://pith.science/pith/66TDELJLWQDUJETFNAQQ6FGPI6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66TDELJLWQDUJETFNAQQ6FGPI6/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":"2026-08-13T11:05:16Z","links":{"resolver":"https://pith.science/pith/66TDELJLWQDUJETFNAQQ6FGPI6","bundle":"https://pith.science/pith/66TDELJLWQDUJETFNAQQ6FGPI6/bundle.json","state":"https://pith.science/pith/66TDELJLWQDUJETFNAQQ6FGPI6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66TDELJLWQDUJETFNAQQ6FGPI6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:66TDELJLWQDUJETFNAQQ6FGPI6","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":"486e700f0512bd5ab754127e6e67c00b537867dccf0cd5d1f53267fd47fcaf34","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-08T16:21:35Z","title_canon_sha256":"f94218108ff6109fd165c94b6773190457e01e997c84271f5f2d7677516cfbd2"},"schema_version":"1.0","source":{"id":"hep-ph/0609084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0609084","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0609084v1","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0609084","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"66TDELJLWQDU","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"66TDELJLWQDUJETF","created_at":"2026-07-04T15:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"66TDELJL","created_at":"2026-07-04T15:17:09Z"}],"graph_snapshots":[{"event_id":"sha256:c64dcca9183596c154bc6dfddd5fad12b3237f19d775fd387ace7073843573b4","target":"graph","created_at":"2026-07-04T15:17:09Z","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-ph/0609084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The explicit one-loop renormalizability of pure Yang-Mills theory with Lorentz violation is demonstrated. The result is consistent with multiplicative renormalization as the required counter terms are consistent with a single re-scaling of the Lorentz-violation parameters. In addition, the resulting beta functions indicate that the CPT-even Lorentz-violating terms increase with energy scale in opposition to the asymptotically free gauge coupling and CPT-odd terms. The calculations are performed at lowest-order in the Lorentz-violating terms as they are assumed small.","authors_text":"Don Colladay, Patrick McDonald","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-09-08T16:21:35Z","title":"One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0609084","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":"sha256:398ec0b3654f1b58fb32ea9684f3b6f96125ec14cad46332185a94833b61d130","target":"record","created_at":"2026-07-04T15:17:09Z","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":"486e700f0512bd5ab754127e6e67c00b537867dccf0cd5d1f53267fd47fcaf34","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-09-08T16:21:35Z","title_canon_sha256":"f94218108ff6109fd165c94b6773190457e01e997c84271f5f2d7677516cfbd2"},"schema_version":"1.0","source":{"id":"hep-ph/0609084","kind":"arxiv","version":1}},"canonical_sha256":"f7a6322d2bb40744926568210f14cf47ba08d155544c0488eb229d8dd1306766","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7a6322d2bb40744926568210f14cf47ba08d155544c0488eb229d8dd1306766","first_computed_at":"2026-07-04T15:17:09.608695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:17:09.608695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4wlEY9DHEafM6gcJoLqbRBJU9XV8Z1kZ4A0mjRYNEnb+px31k3N8+tbAjzPM1XV3596MfGwmPBkG+F51mTF6AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:17:09.609077Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0609084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:398ec0b3654f1b58fb32ea9684f3b6f96125ec14cad46332185a94833b61d130","sha256:c64dcca9183596c154bc6dfddd5fad12b3237f19d775fd387ace7073843573b4"],"state_sha256":"93d5474b1cb2598063ea61a282651f0aaf2679e6f04de8d818bb63fd672b10a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rTgsB9kl1OSf+dUqYZBcNBZKlRpoeTsGJnbs2UF/GdROVYsXRDKBZP4MudKt4C5B6Fph3Tk1xfF3kLg3i2bfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T11:05:16.989561Z","bundle_sha256":"954824508358d91418507abdcf71d6dbe090e5e5ab6a8a84b9692315e681aa5c"}}