{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:EOD3ZQ3YX2VNZIOBCHSER24I5E","short_pith_number":"pith:EOD3ZQ3Y","schema_version":"1.0","canonical_sha256":"2387bcc378beaadca1c111e448eb88e9355a8d9ca6e7db1f7d9a9624e295f546","source":{"kind":"arxiv","id":"1812.08785","version":1},"attestation_state":"computed","paper":{"title":"A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hong Liu, Michael Crossley, Paolo Glorioso","submitted_at":"2018-12-20T18:58:05Z","abstract_excerpt":"We develop a prescription for computing real-time correlation functions defined on a Schwinger-Keldysh contour for non-equilibrium systems using gravity. The prescription involves a new analytic continuation procedure in a black hole geometry which can be dynamical. For a system with a slowly varying horizon, the continuation enables computation of the Schwinger-Keldysh generating functional using derivative expansion, drastically simplifying calculations. We illustrate the prescription with two-point functions for a scalar operator. We then use it to derive from gravity the recently proposed "},"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":"1812.08785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T18:58:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0e574d34f532d28d53f7870f97260d1bdbcd25d03ad3197df036883bed4a0802","abstract_canon_sha256":"1c510297cfe458e722609d5fbeac8e7129b62ddb17771b35cbb7db0aabd2ac6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:49.215946Z","signature_b64":"lxBNcD4sVtwvp2WJrfwqeyGzxBlL4gocpWnuB1rNF1iKEl3xw2H5GZoxaaqYlmL4fyjMR7JjAV+hN3c4impwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2387bcc378beaadca1c111e448eb88e9355a8d9ca6e7db1f7d9a9624e295f546","last_reissued_at":"2026-05-17T23:57:49.215393Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:49.215393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hong Liu, Michael Crossley, Paolo Glorioso","submitted_at":"2018-12-20T18:58:05Z","abstract_excerpt":"We develop a prescription for computing real-time correlation functions defined on a Schwinger-Keldysh contour for non-equilibrium systems using gravity. The prescription involves a new analytic continuation procedure in a black hole geometry which can be dynamical. For a system with a slowly varying horizon, the continuation enables computation of the Schwinger-Keldysh generating functional using derivative expansion, drastically simplifying calculations. We illustrate the prescription with two-point functions for a scalar operator. We then use it to derive from gravity the recently proposed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08785","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.08785","created_at":"2026-05-17T23:57:49.215501+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.08785v1","created_at":"2026-05-17T23:57:49.215501+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08785","created_at":"2026-05-17T23:57:49.215501+00:00"},{"alias_kind":"pith_short_12","alias_value":"EOD3ZQ3YX2VN","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"EOD3ZQ3YX2VNZIOB","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"EOD3ZQ3Y","created_at":"2026-05-18T12:32:22.470017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2509.03656","citing_title":"Loops Outside a Black Hole","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2510.21673","citing_title":"Imprint of the black hole singularity on thermal two-point functions","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2512.11754","citing_title":"Modular Witten Diagrams and Quantum Extremality","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2605.14573","citing_title":"Black-hole formation and thermalization in open JT gravity","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2604.02133","citing_title":"Effective Field Theory for Superconducting Phase Transitions","ref_index":67,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11096","citing_title":"Stochastic inflation from a non-equilibrium renormalization group","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18675","citing_title":"All-order fluctuating hydrodynamics of the SYK lattice","ref_index":57,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E","json":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E.json","graph_json":"https://pith.science/api/pith-number/EOD3ZQ3YX2VNZIOBCHSER24I5E/graph.json","events_json":"https://pith.science/api/pith-number/EOD3ZQ3YX2VNZIOBCHSER24I5E/events.json","paper":"https://pith.science/paper/EOD3ZQ3Y"},"agent_actions":{"view_html":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E","download_json":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E.json","view_paper":"https://pith.science/paper/EOD3ZQ3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.08785&json=true","fetch_graph":"https://pith.science/api/pith-number/EOD3ZQ3YX2VNZIOBCHSER24I5E/graph.json","fetch_events":"https://pith.science/api/pith-number/EOD3ZQ3YX2VNZIOBCHSER24I5E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E/action/storage_attestation","attest_author":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E/action/author_attestation","sign_citation":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E/action/citation_signature","submit_replication":"https://pith.science/pith/EOD3ZQ3YX2VNZIOBCHSER24I5E/action/replication_record"}},"created_at":"2026-05-17T23:57:49.215501+00:00","updated_at":"2026-05-17T23:57:49.215501+00:00"}