{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VFBTFVP4CFD2IMHVMRRWZEKIXJ","short_pith_number":"pith:VFBTFVP4","schema_version":"1.0","canonical_sha256":"a94332d5fc1147a430f564636c9148ba4c1e4386e166c2ea8529a84d61b77d56","source":{"kind":"arxiv","id":"1711.04568","version":4},"attestation_state":"computed","paper":{"title":"Exact large-scale correlations in integrable systems out of equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Doyon","submitted_at":"2017-11-13T13:22:02Z","abstract_excerpt":"Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale dynamical two-point correlation functions of conserved densities and currents in inhomogeneous, non-stationary states of many-body integrable systems with weak space-time variations. This extends previous works to inhomogeneous and non-stationary situations. Using GHD projection operators, we further derive formulae for Euler-scale two-point functions of arbitrary local fields, purely from the data of their homogeneous one-point functions. These are new also in homogeneous generalized Gibbs ensembles. The techniqu"},"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":"1711.04568","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-11-13T13:22:02Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"b09221705259d405653e04b3f7a67c2be60e80917d06dd34a4bfa50d4469a514","abstract_canon_sha256":"c421ff41a8b809428a37f183faf9bda9fb5f68b1993135da9e66b22c9df05302"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:53.521372Z","signature_b64":"/EjUDEi3FwzOP9RwoesD0rk93GbFFahFWJ/aL5ellxTQBaWitQIV/1ocTLlHRrYeXtVgZes5k+0/ok58gqksAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a94332d5fc1147a430f564636c9148ba4c1e4386e166c2ea8529a84d61b77d56","last_reissued_at":"2026-05-17T23:59:53.520875Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:53.520875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact large-scale correlations in integrable systems out of equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Benjamin Doyon","submitted_at":"2017-11-13T13:22:02Z","abstract_excerpt":"Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale dynamical two-point correlation functions of conserved densities and currents in inhomogeneous, non-stationary states of many-body integrable systems with weak space-time variations. This extends previous works to inhomogeneous and non-stationary situations. Using GHD projection operators, we further derive formulae for Euler-scale two-point functions of arbitrary local fields, purely from the data of their homogeneous one-point functions. These are new also in homogeneous generalized Gibbs ensembles. The techniqu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04568","kind":"arxiv","version":4},"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":"1711.04568","created_at":"2026-05-17T23:59:53.520946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.04568v4","created_at":"2026-05-17T23:59:53.520946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04568","created_at":"2026-05-17T23:59:53.520946+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFBTFVP4CFD2","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFBTFVP4CFD2IMHV","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFBTFVP4","created_at":"2026-05-18T12:31:49.984773+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.07320","citing_title":"Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ","json":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ.json","graph_json":"https://pith.science/api/pith-number/VFBTFVP4CFD2IMHVMRRWZEKIXJ/graph.json","events_json":"https://pith.science/api/pith-number/VFBTFVP4CFD2IMHVMRRWZEKIXJ/events.json","paper":"https://pith.science/paper/VFBTFVP4"},"agent_actions":{"view_html":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ","download_json":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ.json","view_paper":"https://pith.science/paper/VFBTFVP4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.04568&json=true","fetch_graph":"https://pith.science/api/pith-number/VFBTFVP4CFD2IMHVMRRWZEKIXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/VFBTFVP4CFD2IMHVMRRWZEKIXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ/action/storage_attestation","attest_author":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ/action/author_attestation","sign_citation":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ/action/citation_signature","submit_replication":"https://pith.science/pith/VFBTFVP4CFD2IMHVMRRWZEKIXJ/action/replication_record"}},"created_at":"2026-05-17T23:59:53.520946+00:00","updated_at":"2026-05-17T23:59:53.520946+00:00"}