{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WQNHMZXMXV4BBVDPDJW2WCYLDD","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":"32bfa902ff9ea4168649150dea5d9c3d241299d063725de3c86f9718475703dc","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-29T17:52:04Z","title_canon_sha256":"2d1e6fb901868dadb5966479fdff3971ebbba17ec76c07ece52bc7c10491d3bd"},"schema_version":"1.0","source":{"id":"2604.26941","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.26941","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"2604.26941v2","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.26941","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"WQNHMZXMXV4B","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_16","alias_value":"WQNHMZXMXV4BBVDP","created_at":"2026-05-25T02:02:15Z"},{"alias_kind":"pith_short_8","alias_value":"WQNHMZXM","created_at":"2026-05-25T02:02:15Z"}],"graph_snapshots":[{"event_id":"sha256:ad02d5a46c023c74f7c7337f0b3e328dd9c9199b13c30c7d4ab6368782785aa3","target":"graph","created_at":"2026-05-25T02:02:15Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The resulting Schwinger-Keldysh path integral is manifestly invariant under a diagonal (retarded) BRST symmetry for arbitrary physical initial states, whether pure or mixed. From this, we obtain the corresponding Ward-Takahashi-Slavnov-Taylor identities, valid perturbatively."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The construction assumes that the indefinite Hilbert space and boundary terms at initial and final times can be handled via the Hata-Kugo prescription and Nakanishi-Lautrup fields without introducing inconsistencies for generic mixed states; non-perturbative Gribov ambiguity is acknowledged to potentially break the symmetry but is set aside."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A manifestly BRST-invariant Schwinger-Keldysh path integral is derived for non-Abelian gauge theories with generic initial states, enabling perturbative Ward-Takahashi-Slavnov-Taylor identities and Open EFT expansions that preserve a contracted Keldysh BRST symmetry."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Schwinger-Keldysh path integrals for non-Abelian gauge theories preserve a retarded BRST symmetry for any initial state."}],"snapshot_sha256":"e1005b9f2bb1690faabeb99abc8d45340d71e24add22c7cdd7439747d7eb14b4"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-20T23:36:30.523383Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T19:41:42.688847Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.26941/integrity.json","findings":[],"snapshot_sha256":"5f805e44b94e60684830e760e492b4bcc7d5ae99d8d990bebb87de63529a0b59","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the Schwinger-Keldysh path-integral formalism for open non-Abelian gauge theories that are gauge-fixed via the BRST method in covariant gauges. We focus on generic initial states, pure and mixed, specified at finite times suitable for non-equilibrium processes. We pay particular attention to the handling of the indefinite Hilbert space, the construction of BRST-invariant Schrodinger picture wavefunctionals, density matrices and inner product, the implementation of the Hata-Kugo prescription, and the role of boundary terms at both the initial and final times. We highlight the advanta","authors_text":"Andrew J. Tolley, Greg Kaplanek, Maria Mylova","cross_cats":["quant-ph"],"headline":"Schwinger-Keldysh path integrals for non-Abelian gauge theories preserve a retarded BRST symmetry for any initial state.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-29T17:52:04Z","title":"Schwinger-Keldysh Path Integral for Gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.26941","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-07T08:28:29.902238Z","id":"e077c630-8b0e-45f9-9ac1-25c0a7659772","model_set":{"reader":"grok-4.3"},"one_line_summary":"A manifestly BRST-invariant Schwinger-Keldysh path integral is derived for non-Abelian gauge theories with generic initial states, enabling perturbative Ward-Takahashi-Slavnov-Taylor identities and Open EFT expansions that preserve a contracted Keldysh BRST symmetry.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Schwinger-Keldysh path integrals for non-Abelian gauge theories preserve a retarded BRST symmetry for any initial state.","strongest_claim":"The resulting Schwinger-Keldysh path integral is manifestly invariant under a diagonal (retarded) BRST symmetry for arbitrary physical initial states, whether pure or mixed. From this, we obtain the corresponding Ward-Takahashi-Slavnov-Taylor identities, valid perturbatively.","weakest_assumption":"The construction assumes that the indefinite Hilbert space and boundary terms at initial and final times can be handled via the Hata-Kugo prescription and Nakanishi-Lautrup fields without introducing inconsistencies for generic mixed states; non-perturbative Gribov ambiguity is acknowledged to potentially break the symmetry but is set aside."}},"verdict_id":"e077c630-8b0e-45f9-9ac1-25c0a7659772"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b762b475d79d1186f4eb6687b9a494124e528cfbecf8d3648c19927748cd6d6f","target":"record","created_at":"2026-05-25T02:02:15Z","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":"32bfa902ff9ea4168649150dea5d9c3d241299d063725de3c86f9718475703dc","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-04-29T17:52:04Z","title_canon_sha256":"2d1e6fb901868dadb5966479fdff3971ebbba17ec76c07ece52bc7c10491d3bd"},"schema_version":"1.0","source":{"id":"2604.26941","kind":"arxiv","version":2}},"canonical_sha256":"b41a7666ecbd7810d46f1a6dab0b0b18f99f156f6e0ea29f5416111bd8a6f2f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b41a7666ecbd7810d46f1a6dab0b0b18f99f156f6e0ea29f5416111bd8a6f2f4","first_computed_at":"2026-05-25T02:02:15.895971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:15.895971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wd4rg2DOp4TECuTjoRlQgg2q/3rgT50EcA216u+jDY3TpYdQTT6gPIJtrXYgfKdQDbrm322flKlSC21xOpEYAQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:15.896622Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.26941","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b762b475d79d1186f4eb6687b9a494124e528cfbecf8d3648c19927748cd6d6f","sha256:ad02d5a46c023c74f7c7337f0b3e328dd9c9199b13c30c7d4ab6368782785aa3"],"state_sha256":"da29eeba1a7eaaf716befee3d4f5adfd1f302684279916633e7950526b5f46a3"}