{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3RXWECMBHX3NHCORJKYTND4K4V","short_pith_number":"pith:3RXWECMB","schema_version":"1.0","canonical_sha256":"dc6f6209813df6d389d14ab1368f8ae570c6ec92de658068d234781d28b3db43","source":{"kind":"arxiv","id":"1305.6412","version":6},"attestation_state":"computed","paper":{"title":"Nonlinear fluctuating hydrodynamics for anharmonic chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn","submitted_at":"2013-05-28T08:45:04Z","abstract_excerpt":"With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required model-dependent parameters are written in such a way that they can be computed numerically within seconds, once the interaction potential, pressure, and temperature are given. In principle the theory is applicable to any one-dimensional system with local conservation laws. The resulting nonlinear stochastic field theory is handled in the one-loop approximation. Som"},"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":"1305.6412","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-05-28T08:45:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0167464d7600cc1edc8ca24e06e4808e69d8d71ed14726c20470c01805e5f3dd","abstract_canon_sha256":"2b05e36efe553b7097bb2f275cff6f549fdbe614b0dfb96d8594db88231e2180"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:25.428342Z","signature_b64":"PDOCZQ0aREyKbREXjd+gwA5gly1pn8vORDuKTweCxk6tgbS1XNGi4G+Gjmb8EF2zznL6nJOhDtC8FmjueEPrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc6f6209813df6d389d14ab1368f8ae570c6ec92de658068d234781d28b3db43","last_reissued_at":"2026-05-18T01:12:25.428000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:25.428000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear fluctuating hydrodynamics for anharmonic chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn","submitted_at":"2013-05-28T08:45:04Z","abstract_excerpt":"With focus on anharmonic chains, we develop a nonlinear version of fluctuating hydrodynamics, in which the Euler currents are kept to second order in the deviations from equilibrium and dissipation plus noise are added. The required model-dependent parameters are written in such a way that they can be computed numerically within seconds, once the interaction potential, pressure, and temperature are given. In principle the theory is applicable to any one-dimensional system with local conservation laws. The resulting nonlinear stochastic field theory is handled in the one-loop approximation. Som"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6412","kind":"arxiv","version":6},"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":"1305.6412","created_at":"2026-05-18T01:12:25.428051+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.6412v6","created_at":"2026-05-18T01:12:25.428051+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6412","created_at":"2026-05-18T01:12:25.428051+00:00"},{"alias_kind":"pith_short_12","alias_value":"3RXWECMBHX3N","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3RXWECMBHX3NHCOR","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3RXWECMB","created_at":"2026-05-18T12:27:32.513160+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/3RXWECMBHX3NHCORJKYTND4K4V","json":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V.json","graph_json":"https://pith.science/api/pith-number/3RXWECMBHX3NHCORJKYTND4K4V/graph.json","events_json":"https://pith.science/api/pith-number/3RXWECMBHX3NHCORJKYTND4K4V/events.json","paper":"https://pith.science/paper/3RXWECMB"},"agent_actions":{"view_html":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V","download_json":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V.json","view_paper":"https://pith.science/paper/3RXWECMB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.6412&json=true","fetch_graph":"https://pith.science/api/pith-number/3RXWECMBHX3NHCORJKYTND4K4V/graph.json","fetch_events":"https://pith.science/api/pith-number/3RXWECMBHX3NHCORJKYTND4K4V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V/action/storage_attestation","attest_author":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V/action/author_attestation","sign_citation":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V/action/citation_signature","submit_replication":"https://pith.science/pith/3RXWECMBHX3NHCORJKYTND4K4V/action/replication_record"}},"created_at":"2026-05-18T01:12:25.428051+00:00","updated_at":"2026-05-18T01:12:25.428051+00:00"}