{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:4LUIOJOBJ6DM24OPQ62TFZB3Z3","short_pith_number":"pith:4LUIOJOB","schema_version":"1.0","canonical_sha256":"e2e88725c14f86cd71cf87b532e43bcec324bb1eb9677457a9ca17e6828cfd81","source":{"kind":"arxiv","id":"2010.10785","version":2},"attestation_state":"computed","paper":{"title":"Manifestly Causal In-In Perturbation Theory about the Interacting Vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Matthew Baumgart, Raman Sundrum","submitted_at":"2020-10-21T06:41:25Z","abstract_excerpt":"In-In perturbation theory is a vital tool for cosmology and nonequilibrium physics. Here, we reconcile an apparent conflict between two of its important aspects with particular relevance to De Sitter/inflationary contexts: (i) the need to slightly deform unitary time evolution with an i*epsilon prescription that projects the free (\"Bunch-Davies\") vacuum onto the interacting vacuum and renders vertex integrals well-defined, and (ii) Weinberg's \"nested commutator\" reformulation of in-in perturbation theory which makes manifest the constraints of causality within expectation values of local opera"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2010.10785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-10-21T06:41:25Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"605acf93e6b99efa50d932bbd55bba354674b5461a8ba943e90ca0939a5deebf","abstract_canon_sha256":"4586981f5c0ba5257d93f79229ef86a1b478ad025b3c9ab8069ff773d35c66a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:49:20.987480Z","signature_b64":"sWqVWL8mXYxDXq7Fz9pvXmTRtRbPe01j1nTUQ2/luUxf42hHCeNIXxXL6VzZQFHsSQGvh2cCXPI2TpFHfD5mAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2e88725c14f86cd71cf87b532e43bcec324bb1eb9677457a9ca17e6828cfd81","last_reissued_at":"2026-07-05T01:49:20.987061Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:49:20.987061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Manifestly Causal In-In Perturbation Theory about the Interacting Vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Matthew Baumgart, Raman Sundrum","submitted_at":"2020-10-21T06:41:25Z","abstract_excerpt":"In-In perturbation theory is a vital tool for cosmology and nonequilibrium physics. Here, we reconcile an apparent conflict between two of its important aspects with particular relevance to De Sitter/inflationary contexts: (i) the need to slightly deform unitary time evolution with an i*epsilon prescription that projects the free (\"Bunch-Davies\") vacuum onto the interacting vacuum and renders vertex integrals well-defined, and (ii) Weinberg's \"nested commutator\" reformulation of in-in perturbation theory which makes manifest the constraints of causality within expectation values of local opera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.10785","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/2010.10785/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2010.10785","created_at":"2026-07-05T01:49:20.987117+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.10785v2","created_at":"2026-07-05T01:49:20.987117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.10785","created_at":"2026-07-05T01:49:20.987117+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LUIOJOBJ6DM","created_at":"2026-07-05T01:49:20.987117+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LUIOJOBJ6DM24OP","created_at":"2026-07-05T01:49:20.987117+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LUIOJOB","created_at":"2026-07-05T01:49:20.987117+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3","json":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3.json","graph_json":"https://pith.science/api/pith-number/4LUIOJOBJ6DM24OPQ62TFZB3Z3/graph.json","events_json":"https://pith.science/api/pith-number/4LUIOJOBJ6DM24OPQ62TFZB3Z3/events.json","paper":"https://pith.science/paper/4LUIOJOB"},"agent_actions":{"view_html":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3","download_json":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3.json","view_paper":"https://pith.science/paper/4LUIOJOB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.10785&json=true","fetch_graph":"https://pith.science/api/pith-number/4LUIOJOBJ6DM24OPQ62TFZB3Z3/graph.json","fetch_events":"https://pith.science/api/pith-number/4LUIOJOBJ6DM24OPQ62TFZB3Z3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3/action/storage_attestation","attest_author":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3/action/author_attestation","sign_citation":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3/action/citation_signature","submit_replication":"https://pith.science/pith/4LUIOJOBJ6DM24OPQ62TFZB3Z3/action/replication_record"}},"created_at":"2026-07-05T01:49:20.987117+00:00","updated_at":"2026-07-05T01:49:20.987117+00:00"}