{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NBCDXGCBODG62SB7CN6JDEOE6A","short_pith_number":"pith:NBCDXGCB","canonical_record":{"source":{"id":"1807.02414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-06T13:51:14Z","cross_cats_sorted":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"title_canon_sha256":"a6c1c2557c7344fbdb055ae462fa3af541138c86fa82788aa5f0637d5b7ed405","abstract_canon_sha256":"acb0dc7f08e24e392f2ee9dbbc047467736125d0f9cf124ea44ec223b5c64e92"},"schema_version":"1.0"},"canonical_sha256":"68443b984170cded483f137c9191c4f01ce5c3bbd2355a84bb1ff13ee0ef4ea8","source":{"kind":"arxiv","id":"1807.02414","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02414","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02414v2","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02414","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"NBCDXGCBODG6","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NBCDXGCBODG62SB7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NBCDXGCB","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NBCDXGCBODG62SB7CN6JDEOE6A","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-06T13:51:14Z","cross_cats_sorted":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"title_canon_sha256":"a6c1c2557c7344fbdb055ae462fa3af541138c86fa82788aa5f0637d5b7ed405","abstract_canon_sha256":"acb0dc7f08e24e392f2ee9dbbc047467736125d0f9cf124ea44ec223b5c64e92"},"schema_version":"1.0"},"canonical_sha256":"68443b984170cded483f137c9191c4f01ce5c3bbd2355a84bb1ff13ee0ef4ea8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:54.720504Z","signature_b64":"zDVf6G3h+NekYqJpZgvhEjKMjTg3E74JA+CZSliSdslGCCbCBlpTB18H5qzkZEtw84g970mPTrTAXQBBW2NKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68443b984170cded483f137c9191c4f01ce5c3bbd2355a84bb1ff13ee0ef4ea8","last_reissued_at":"2026-05-18T00:02:54.720013Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:54.720013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02414","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ea1Chlncybf+APXPtap23v4N0NeKrPb/b/VJskhQsH6fVd+HO3wYQ4wjttlT3LsAilqs4EGh9QmkIpSnuXphDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T08:34:30.177339Z"},"content_sha256":"d83b71fdead2d185743c0c3cbc3d85e0e2d2d478776e1083a994e1bcf201e504","schema_version":"1.0","event_id":"sha256:d83b71fdead2d185743c0c3cbc3d85e0e2d2d478776e1083a994e1bcf201e504"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NBCDXGCBODG62SB7CN6JDEOE6A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamic Diffusion in Integrable Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Benjamin Doyon, Denis Bernard, Jacopo De Nardis","submitted_at":"2018-07-06T13:51:14Z","abstract_excerpt":"We show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy production and diffusive relaxation mechanisms. These terms provide the subleading diffusive corrections to Euler-scale GHD for the large-scale non-equilibrium dynamics of integrable systems, and arise due to two-body scatterings among quasiparticles. We give exact expressions for the diffusion coefficients. Our results apply to a large class of integrable mode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02414","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":""},"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":"2026-05-18T00:02:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mCgPCnOF82XFnv7W0QgKeTASde4NtKk3THGhKtC8suVIXxcpvrWhCsBy72Jm3tD0Hqz6VR+Uw+934Q0yGCPrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T08:34:30.177989Z"},"content_sha256":"8ff7f7d1285f9a238e42fdff9024d01166234b31cd7380390b45285c1d6df6d9","schema_version":"1.0","event_id":"sha256:8ff7f7d1285f9a238e42fdff9024d01166234b31cd7380390b45285c1d6df6d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBCDXGCBODG62SB7CN6JDEOE6A/bundle.json","state_url":"https://pith.science/pith/NBCDXGCBODG62SB7CN6JDEOE6A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBCDXGCBODG62SB7CN6JDEOE6A/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":"2026-06-07T08:34:30Z","links":{"resolver":"https://pith.science/pith/NBCDXGCBODG62SB7CN6JDEOE6A","bundle":"https://pith.science/pith/NBCDXGCBODG62SB7CN6JDEOE6A/bundle.json","state":"https://pith.science/pith/NBCDXGCBODG62SB7CN6JDEOE6A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBCDXGCBODG62SB7CN6JDEOE6A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NBCDXGCBODG62SB7CN6JDEOE6A","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":"acb0dc7f08e24e392f2ee9dbbc047467736125d0f9cf124ea44ec223b5c64e92","cross_cats_sorted":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-06T13:51:14Z","title_canon_sha256":"a6c1c2557c7344fbdb055ae462fa3af541138c86fa82788aa5f0637d5b7ed405"},"schema_version":"1.0","source":{"id":"1807.02414","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02414","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02414v2","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02414","created_at":"2026-05-18T00:02:54Z"},{"alias_kind":"pith_short_12","alias_value":"NBCDXGCBODG6","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NBCDXGCBODG62SB7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NBCDXGCB","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:8ff7f7d1285f9a238e42fdff9024d01166234b31cd7380390b45285c1d6df6d9","target":"graph","created_at":"2026-05-18T00:02:54Z","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"},"paper":{"abstract_excerpt":"We show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy production and diffusive relaxation mechanisms. These terms provide the subleading diffusive corrections to Euler-scale GHD for the large-scale non-equilibrium dynamics of integrable systems, and arise due to two-body scatterings among quasiparticles. We give exact expressions for the diffusion coefficients. Our results apply to a large class of integrable mode","authors_text":"Benjamin Doyon, Denis Bernard, Jacopo De Nardis","cross_cats":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-06T13:51:14Z","title":"Hydrodynamic Diffusion in Integrable Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02414","kind":"arxiv","version":2},"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:d83b71fdead2d185743c0c3cbc3d85e0e2d2d478776e1083a994e1bcf201e504","target":"record","created_at":"2026-05-18T00:02:54Z","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":"acb0dc7f08e24e392f2ee9dbbc047467736125d0f9cf124ea44ec223b5c64e92","cross_cats_sorted":["cond-mat.quant-gas","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-07-06T13:51:14Z","title_canon_sha256":"a6c1c2557c7344fbdb055ae462fa3af541138c86fa82788aa5f0637d5b7ed405"},"schema_version":"1.0","source":{"id":"1807.02414","kind":"arxiv","version":2}},"canonical_sha256":"68443b984170cded483f137c9191c4f01ce5c3bbd2355a84bb1ff13ee0ef4ea8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68443b984170cded483f137c9191c4f01ce5c3bbd2355a84bb1ff13ee0ef4ea8","first_computed_at":"2026-05-18T00:02:54.720013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:54.720013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zDVf6G3h+NekYqJpZgvhEjKMjTg3E74JA+CZSliSdslGCCbCBlpTB18H5qzkZEtw84g970mPTrTAXQBBW2NKCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:54.720504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02414","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d83b71fdead2d185743c0c3cbc3d85e0e2d2d478776e1083a994e1bcf201e504","sha256:8ff7f7d1285f9a238e42fdff9024d01166234b31cd7380390b45285c1d6df6d9"],"state_sha256":"7cf123970a192e9a983b4f957a0cae140b2db5b028bb341f38806d19f9d37641"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T1VrG8VUx/Xy+MMTYNZhMglQv45HXinLSI1QWzXTfdG2X7bNnXH1W2dCDLlO/7ZHbRKN6dMKinS66qQDzOcwAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T08:34:30.181198Z","bundle_sha256":"ef01b73f98267efd153035a303e1e42270bbf4564dde90ce00ced51c58d2e8c1"}}