{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:P76QNN3ONDCME62DGL52YTFACU","short_pith_number":"pith:P76QNN3O","canonical_record":{"source":{"id":"1404.4846","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-18T18:06:24Z","cross_cats_sorted":[],"title_canon_sha256":"3b3ea961611598ea05a5325927fedc9379b3a82ea991631d4e464a713293adb3","abstract_canon_sha256":"ec91df6d8972686f18a3d6ab93de7e90027d368da9c6ed3b092f9a868bdde910"},"schema_version":"1.0"},"canonical_sha256":"7ffd06b76e68c4c27b4332fbac4ca01532f0bf2c1dbbcfe2687aa74669c8150b","source":{"kind":"arxiv","id":"1404.4846","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4846","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4846v3","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4846","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"pith_short_12","alias_value":"P76QNN3ONDCM","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P76QNN3ONDCME62D","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P76QNN3O","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:P76QNN3ONDCME62DGL52YTFACU","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4846","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-18T18:06:24Z","cross_cats_sorted":[],"title_canon_sha256":"3b3ea961611598ea05a5325927fedc9379b3a82ea991631d4e464a713293adb3","abstract_canon_sha256":"ec91df6d8972686f18a3d6ab93de7e90027d368da9c6ed3b092f9a868bdde910"},"schema_version":"1.0"},"canonical_sha256":"7ffd06b76e68c4c27b4332fbac4ca01532f0bf2c1dbbcfe2687aa74669c8150b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:32.227832Z","signature_b64":"eAqhTS4nKuB/FUN62uogFodPoZi1e8SSAfZbGQZgs0Zg9JrggQjyt2Aa/11qdwFGj7an3buDdjYd5rFa1jfQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ffd06b76e68c4c27b4332fbac4ca01532f0bf2c1dbbcfe2687aa74669c8150b","last_reissued_at":"2026-05-18T02:29:32.227436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:32.227436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4846","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":"2026-05-18T02:29:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2I9uzJNauIjLxBdjWWXUPF2uQmXYPO4qsCafv+uQyoT4P22crBCQtYiiqyhs+gGt9YXrUnsZKgRNjTOYmvT+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:40:05.399363Z"},"content_sha256":"a0d7f7e98aa8f9c69178904eb32622896d544b76af788afe5f69edd1b7f23cd0","schema_version":"1.0","event_id":"sha256:a0d7f7e98aa8f9c69178904eb32622896d544b76af788afe5f69edd1b7f23cd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:P76QNN3ONDCME62DGL52YTFACU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. F. Sobreiro, T. R. S. Santos","submitted_at":"2014-04-18T18:06:24Z","abstract_excerpt":"We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable set of external sources which, eventually, attain certain physical values. The Abelian case is also analyzed as a starting point. The main result is that the renormalizability of the usual Maxwell and Yang-Mills sectores are both left unchanged. Furthermore, in contrast to Lorentz violating QED, the odd CPT violation sector of Yang-Mills theories renormaliz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4846","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":"2026-05-18T02:29:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F7XPIi+x5O/qB1qlEmpmtMOBlaHXP00piKLtpYYAuu9BBHWes72aGo13Iom5hu6GpWXqHvMhRd700tnoD0sfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:40:05.399720Z"},"content_sha256":"85c57a65942e868907013e09fb4f3bde33c75508fbbc2937190b40e063969331","schema_version":"1.0","event_id":"sha256:85c57a65942e868907013e09fb4f3bde33c75508fbbc2937190b40e063969331"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P76QNN3ONDCME62DGL52YTFACU/bundle.json","state_url":"https://pith.science/pith/P76QNN3ONDCME62DGL52YTFACU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P76QNN3ONDCME62DGL52YTFACU/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":"2026-06-01T18:40:05Z","links":{"resolver":"https://pith.science/pith/P76QNN3ONDCME62DGL52YTFACU","bundle":"https://pith.science/pith/P76QNN3ONDCME62DGL52YTFACU/bundle.json","state":"https://pith.science/pith/P76QNN3ONDCME62DGL52YTFACU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P76QNN3ONDCME62DGL52YTFACU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P76QNN3ONDCME62DGL52YTFACU","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":"ec91df6d8972686f18a3d6ab93de7e90027d368da9c6ed3b092f9a868bdde910","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-18T18:06:24Z","title_canon_sha256":"3b3ea961611598ea05a5325927fedc9379b3a82ea991631d4e464a713293adb3"},"schema_version":"1.0","source":{"id":"1404.4846","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4846","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4846v3","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4846","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"pith_short_12","alias_value":"P76QNN3ONDCM","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P76QNN3ONDCME62D","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P76QNN3O","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:85c57a65942e868907013e09fb4f3bde33c75508fbbc2937190b40e063969331","target":"graph","created_at":"2026-05-18T02:29:32Z","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 show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable set of external sources which, eventually, attain certain physical values. The Abelian case is also analyzed as a starting point. The main result is that the renormalizability of the usual Maxwell and Yang-Mills sectores are both left unchanged. Furthermore, in contrast to Lorentz violating QED, the odd CPT violation sector of Yang-Mills theories renormaliz","authors_text":"R. F. Sobreiro, T. R. S. Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-18T18:06:24Z","title":"Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4846","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:a0d7f7e98aa8f9c69178904eb32622896d544b76af788afe5f69edd1b7f23cd0","target":"record","created_at":"2026-05-18T02:29:32Z","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":"ec91df6d8972686f18a3d6ab93de7e90027d368da9c6ed3b092f9a868bdde910","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-18T18:06:24Z","title_canon_sha256":"3b3ea961611598ea05a5325927fedc9379b3a82ea991631d4e464a713293adb3"},"schema_version":"1.0","source":{"id":"1404.4846","kind":"arxiv","version":3}},"canonical_sha256":"7ffd06b76e68c4c27b4332fbac4ca01532f0bf2c1dbbcfe2687aa74669c8150b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ffd06b76e68c4c27b4332fbac4ca01532f0bf2c1dbbcfe2687aa74669c8150b","first_computed_at":"2026-05-18T02:29:32.227436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:32.227436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eAqhTS4nKuB/FUN62uogFodPoZi1e8SSAfZbGQZgs0Zg9JrggQjyt2Aa/11qdwFGj7an3buDdjYd5rFa1jfQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:32.227832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4846","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d7f7e98aa8f9c69178904eb32622896d544b76af788afe5f69edd1b7f23cd0","sha256:85c57a65942e868907013e09fb4f3bde33c75508fbbc2937190b40e063969331"],"state_sha256":"7b4bff00a7e9c360ea65ad5b70651c17c9718d911a6db9d97d83d780def1feea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7Z4NnTQkAZk6gZMs1IaqTNq3bBSyF9B6Nzh6Xq80fnR9DAkVVlFpfT2qYwIh5IvmNtoAs76c1FfHiEUBiyJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:40:05.401678Z","bundle_sha256":"aea401e26b000594c5dc8c10c149ad0fcc80a25da9ad2aa8e38d3248b898d79a"}}