{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NWNA2RMBQVFTOEJCHHRCBC6IRY","short_pith_number":"pith:NWNA2RMB","canonical_record":{"source":{"id":"2302.07283","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-14T19:00:10Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"6d0ab5c6961ed7537736521ca3099106a1da148cedc5b3d138e7cc87579d5104","abstract_canon_sha256":"a0a1e899ce046fd428337ee7a297beb0cc815856acb1ce9e6c40fd4d214eb1df"},"schema_version":"1.0"},"canonical_sha256":"6d9a0d4581854b37112239e2208bc88e244bcfb804f47eb187a10da8e5a56e85","source":{"kind":"arxiv","id":"2302.07283","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.07283","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"2302.07283v3","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07283","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"NWNA2RMBQVFT","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_16","alias_value":"NWNA2RMBQVFTOEJC","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_8","alias_value":"NWNA2RMB","created_at":"2026-07-05T11:41:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NWNA2RMBQVFTOEJCHHRCBC6IRY","target":"record","payload":{"canonical_record":{"source":{"id":"2302.07283","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-14T19:00:10Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"6d0ab5c6961ed7537736521ca3099106a1da148cedc5b3d138e7cc87579d5104","abstract_canon_sha256":"a0a1e899ce046fd428337ee7a297beb0cc815856acb1ce9e6c40fd4d214eb1df"},"schema_version":"1.0"},"canonical_sha256":"6d9a0d4581854b37112239e2208bc88e244bcfb804f47eb187a10da8e5a56e85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:17.126781Z","signature_b64":"OPrCbmtAxFmPINUNR2dBI4wDaeaPFHeompanHUFq/ujBoMrAx+Vv26MZ/1TWKIeHqpWTikQqlcX22EfxPLgpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d9a0d4581854b37112239e2208bc88e244bcfb804f47eb187a10da8e5a56e85","last_reissued_at":"2026-07-05T11:41:17.126283Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:17.126283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.07283","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":"2026-07-05T11:41:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"32Tt5tBjIn8v54kGwAQurzxcW1Cm9yeeBZjljAH/ZMg2Vht8cOPz/XjWzHhGnzFNxl5Y8SumD7P+wa9+o6R5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:45:34.673911Z"},"content_sha256":"74dc9a1864d7795cb8b920f1c72cbcb7de82a3deb505ec743eae35efbfc173ab","schema_version":"1.0","event_id":"sha256:74dc9a1864d7795cb8b920f1c72cbcb7de82a3deb505ec743eae35efbfc173ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NWNA2RMBQVFTOEJCHHRCBC6IRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariant path integrals for quantum fields back-reacting on classical space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Jonathan Oppenheim, Zachary Weller-Davies","submitted_at":"2023-02-14T19:00:10Z","abstract_excerpt":"We introduce configuration space path integrals for quantum fields interacting with classical fields. We show that this can be done consistently by proving that the dynamics are completely positive directly, without resorting to master equation methods. These path integrals allow one to readily impose space-time symmetries, including Lorentz invariance or diffeomorphism invariance. They generalize and combine the Feynman-Vernon path integral of open quantum systems and the stochastic path integral of classical stochastic dynamics while respecting symmetry principles. We introduce a path integr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07283","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.07283/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":"2026-07-05T11:41:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TESQEUZWD7QNeKhUbfkvArGGAjAa8PcCllx8nhIybvpk4qM2Tqm5pVBVgBTJKpTfEe2uK/ZMB9l75eYOwXchCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:45:34.674622Z"},"content_sha256":"7516c2c42a08b132fe0f849236042fb5a1eac7736f762cc3b2c39009a36d1e9c","schema_version":"1.0","event_id":"sha256:7516c2c42a08b132fe0f849236042fb5a1eac7736f762cc3b2c39009a36d1e9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/bundle.json","state_url":"https://pith.science/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/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":"2026-08-03T19:45:34Z","links":{"resolver":"https://pith.science/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY","bundle":"https://pith.science/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/bundle.json","state":"https://pith.science/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NWNA2RMBQVFTOEJCHHRCBC6IRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NWNA2RMBQVFTOEJCHHRCBC6IRY","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":"a0a1e899ce046fd428337ee7a297beb0cc815856acb1ce9e6c40fd4d214eb1df","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-14T19:00:10Z","title_canon_sha256":"6d0ab5c6961ed7537736521ca3099106a1da148cedc5b3d138e7cc87579d5104"},"schema_version":"1.0","source":{"id":"2302.07283","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.07283","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"2302.07283v3","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.07283","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"NWNA2RMBQVFT","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_16","alias_value":"NWNA2RMBQVFTOEJC","created_at":"2026-07-05T11:41:17Z"},{"alias_kind":"pith_short_8","alias_value":"NWNA2RMB","created_at":"2026-07-05T11:41:17Z"}],"graph_snapshots":[{"event_id":"sha256:7516c2c42a08b132fe0f849236042fb5a1eac7736f762cc3b2c39009a36d1e9c","target":"graph","created_at":"2026-07-05T11:41:17Z","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/2302.07283/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce configuration space path integrals for quantum fields interacting with classical fields. We show that this can be done consistently by proving that the dynamics are completely positive directly, without resorting to master equation methods. These path integrals allow one to readily impose space-time symmetries, including Lorentz invariance or diffeomorphism invariance. They generalize and combine the Feynman-Vernon path integral of open quantum systems and the stochastic path integral of classical stochastic dynamics while respecting symmetry principles. We introduce a path integr","authors_text":"Jonathan Oppenheim, Zachary Weller-Davies","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-14T19:00:10Z","title":"Covariant path integrals for quantum fields back-reacting on classical space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.07283","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":"sha256:74dc9a1864d7795cb8b920f1c72cbcb7de82a3deb505ec743eae35efbfc173ab","target":"record","created_at":"2026-07-05T11:41:17Z","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":"a0a1e899ce046fd428337ee7a297beb0cc815856acb1ce9e6c40fd4d214eb1df","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-02-14T19:00:10Z","title_canon_sha256":"6d0ab5c6961ed7537736521ca3099106a1da148cedc5b3d138e7cc87579d5104"},"schema_version":"1.0","source":{"id":"2302.07283","kind":"arxiv","version":3}},"canonical_sha256":"6d9a0d4581854b37112239e2208bc88e244bcfb804f47eb187a10da8e5a56e85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d9a0d4581854b37112239e2208bc88e244bcfb804f47eb187a10da8e5a56e85","first_computed_at":"2026-07-05T11:41:17.126283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:17.126283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OPrCbmtAxFmPINUNR2dBI4wDaeaPFHeompanHUFq/ujBoMrAx+Vv26MZ/1TWKIeHqpWTikQqlcX22EfxPLgpBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:17.126781Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.07283","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74dc9a1864d7795cb8b920f1c72cbcb7de82a3deb505ec743eae35efbfc173ab","sha256:7516c2c42a08b132fe0f849236042fb5a1eac7736f762cc3b2c39009a36d1e9c"],"state_sha256":"65ac451196c6bcca1073470daa0a8d881b11e8ba5e61af0292aaf4ef6182ebfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4hVKHKKF4IcYzBZ5Y5KyHokGnWvaUxA4N2XT6gdhZbbaVpTyT3Xlr5M53gGr6qnCm3n9JhNRYmT7iTcbvU8mAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:45:34.684156Z","bundle_sha256":"d31f175e8954e54033316e0db7c53c5ddfa20edc2f64e616f4d74b4877642326"}}