{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:IKXHSAAWIBQQ35CUFX7SWILVVE","short_pith_number":"pith:IKXHSAAW","canonical_record":{"source":{"id":"hep-th/9402077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-02-14T14:49:11Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"238fa35742ebc06334645d3a5fb0756ee732bebcbfe7683c372644bcf2b709dd","abstract_canon_sha256":"f19a03a439053d6848baffa89e789f4038c48c5252017a641f3a21f506f4fcce"},"schema_version":"1.0"},"canonical_sha256":"42ae79001640610df4542dff2b2175a91d705387398f73b427885384b742fc3d","source":{"kind":"arxiv","id":"hep-th/9402077","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9402077","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9402077v2","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9402077","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"IKXHSAAWIBQQ","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"IKXHSAAWIBQQ35CU","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"IKXHSAAW","created_at":"2026-07-04T15:57:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:IKXHSAAWIBQQ35CUFX7SWILVVE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9402077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-02-14T14:49:11Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"238fa35742ebc06334645d3a5fb0756ee732bebcbfe7683c372644bcf2b709dd","abstract_canon_sha256":"f19a03a439053d6848baffa89e789f4038c48c5252017a641f3a21f506f4fcce"},"schema_version":"1.0"},"canonical_sha256":"42ae79001640610df4542dff2b2175a91d705387398f73b427885384b742fc3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:41.384791Z","signature_b64":"lQfPbdd6OqcJsxSptCAOyQsS2YiyW9iU5g4R3mkbBXblhthE2RDJiDWyAU/16bpr/2rhmkPcPbblqARX2E3DDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42ae79001640610df4542dff2b2175a91d705387398f73b427885384b742fc3d","last_reissued_at":"2026-07-04T15:57:41.384452Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:41.384452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9402077","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKKokEid8cKAQDfx203tBjM4H6c4+YFTCe812BEUrnj7wv+nfk+06v0xnC4a1yDn5hyuemnDjz8Gaby9UY0rAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:36:03.313382Z"},"content_sha256":"5991574e38f08d09a65ffdffd652debd417fa3beab187fb2a896d54f6ad191f1","schema_version":"1.0","event_id":"sha256:5991574e38f08d09a65ffdffd652debd417fa3beab187fb2a896d54f6ad191f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:IKXHSAAWIBQQ35CUFX7SWILVVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flow Equations and BRS Invariance for Yang-Mills Theories","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ulrich Ellwanger","submitted_at":"1994-02-14T14:49:11Z","abstract_excerpt":"Flow equations describe the evolution of the effective action $\\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\\Gamma_k$ for $k\\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Tay"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9402077","kind":"arxiv","version":2},"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/9402077/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":"2026-07-04T15:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9FnbFQ/ICAgD9TlAePKuiiKoWHz6DwpIBby64C4znaeFQ906TQqvolemtOTnuaQgdFJ1oSiHBKsDfKBJJAlsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:36:03.313763Z"},"content_sha256":"18b598404ce3cf396f159bd22b7f5fd4760f5f66526dc4686c79ad205d5aa224","schema_version":"1.0","event_id":"sha256:18b598404ce3cf396f159bd22b7f5fd4760f5f66526dc4686c79ad205d5aa224"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/bundle.json","state_url":"https://pith.science/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/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":"2026-07-05T06:36:03Z","links":{"resolver":"https://pith.science/pith/IKXHSAAWIBQQ35CUFX7SWILVVE","bundle":"https://pith.science/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/bundle.json","state":"https://pith.science/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKXHSAAWIBQQ35CUFX7SWILVVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:IKXHSAAWIBQQ35CUFX7SWILVVE","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":"f19a03a439053d6848baffa89e789f4038c48c5252017a641f3a21f506f4fcce","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-02-14T14:49:11Z","title_canon_sha256":"238fa35742ebc06334645d3a5fb0756ee732bebcbfe7683c372644bcf2b709dd"},"schema_version":"1.0","source":{"id":"hep-th/9402077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9402077","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9402077v2","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9402077","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"IKXHSAAWIBQQ","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"IKXHSAAWIBQQ35CU","created_at":"2026-07-04T15:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"IKXHSAAW","created_at":"2026-07-04T15:57:41Z"}],"graph_snapshots":[{"event_id":"sha256:18b598404ce3cf396f159bd22b7f5fd4760f5f66526dc4686c79ad205d5aa224","target":"graph","created_at":"2026-07-04T15:57:41Z","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/9402077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Flow equations describe the evolution of the effective action $\\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\\Gamma_k$ for $k\\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Tay","authors_text":"Ulrich Ellwanger","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-02-14T14:49:11Z","title":"Flow Equations and BRS Invariance for Yang-Mills Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9402077","kind":"arxiv","version":2},"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":"sha256:5991574e38f08d09a65ffdffd652debd417fa3beab187fb2a896d54f6ad191f1","target":"record","created_at":"2026-07-04T15:57:41Z","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":"f19a03a439053d6848baffa89e789f4038c48c5252017a641f3a21f506f4fcce","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-02-14T14:49:11Z","title_canon_sha256":"238fa35742ebc06334645d3a5fb0756ee732bebcbfe7683c372644bcf2b709dd"},"schema_version":"1.0","source":{"id":"hep-th/9402077","kind":"arxiv","version":2}},"canonical_sha256":"42ae79001640610df4542dff2b2175a91d705387398f73b427885384b742fc3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42ae79001640610df4542dff2b2175a91d705387398f73b427885384b742fc3d","first_computed_at":"2026-07-04T15:57:41.384452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:41.384452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQfPbdd6OqcJsxSptCAOyQsS2YiyW9iU5g4R3mkbBXblhthE2RDJiDWyAU/16bpr/2rhmkPcPbblqARX2E3DDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:41.384791Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9402077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5991574e38f08d09a65ffdffd652debd417fa3beab187fb2a896d54f6ad191f1","sha256:18b598404ce3cf396f159bd22b7f5fd4760f5f66526dc4686c79ad205d5aa224"],"state_sha256":"a3c35624bc7ec0ed7153918da5a16e16f666e544515f308e582d7e5841e5a7fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3d6BWCyJ/XNAZUyX8hLtJv7xmkaWVWSkzPAkP9UImFZ3l3v33uRoGJygUlo+fDRnNjIs6aSjqo0l9IfpaeJtAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T06:36:03.315982Z","bundle_sha256":"f9e41bf774d66009bf328f9f75bdd5b607ccf058789612287ebdd91d05f542fd"}}