{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:ARS6BTRIX2OKJBB6ICUADVHAPH","short_pith_number":"pith:ARS6BTRI","schema_version":"1.0","canonical_sha256":"0465e0ce28be9ca4843e40a801d4e079cca8a00c74c4f8a7967f20d59606ec62","source":{"kind":"arxiv","id":"2301.08504","version":2},"attestation_state":"computed","paper":{"title":"Hydrodynamic scales of integrable many-particle systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn","submitted_at":"2023-01-20T10:21:53Z","abstract_excerpt":"The lecture notes cover the emergence of generalized hydrodynamics for the classical and quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the non-linear Schroedinger equation, and the Lieb-Liniger delta-Bose gas. Such diverse models have structurally identical hydrodynamic equations. Added is a comparison with conventional soliton gases."},"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":"2301.08504","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-20T10:21:53Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"0bd9f7e91acfcde363559816a84f701923476756f2e6b2478e7f622d88683db9","abstract_canon_sha256":"20413a671fa9aadc95f4ecc623d7c219018e591bb150508d230ebd9522947584"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:26:36.025960Z","signature_b64":"ouPy74NkP6QVkOe2ZG+8/ofcy6IeAYSYCKfHqrtQ4/f58I7uF4N2S7vLpkQfZMQBZXvOHrljY3bHc2Y2+2SPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0465e0ce28be9ca4843e40a801d4e079cca8a00c74c4f8a7967f20d59606ec62","last_reissued_at":"2026-07-05T07:26:36.025546Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:26:36.025546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hydrodynamic scales of integrable many-particle systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn","submitted_at":"2023-01-20T10:21:53Z","abstract_excerpt":"The lecture notes cover the emergence of generalized hydrodynamics for the classical and quantum Toda chain, the classical Calogero fluid, the Ablowitz-Ladik discretization of the non-linear Schroedinger equation, and the Lieb-Liniger delta-Bose gas. Such diverse models have structurally identical hydrodynamic equations. Added is a comparison with conventional soliton gases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.08504","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/2301.08504/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":"2301.08504","created_at":"2026-07-05T07:26:36.025606+00:00"},{"alias_kind":"arxiv_version","alias_value":"2301.08504v2","created_at":"2026-07-05T07:26:36.025606+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.08504","created_at":"2026-07-05T07:26:36.025606+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARS6BTRIX2OK","created_at":"2026-07-05T07:26:36.025606+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARS6BTRIX2OKJBB6","created_at":"2026-07-05T07:26:36.025606+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARS6BTRI","created_at":"2026-07-05T07:26:36.025606+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20948","citing_title":"Slot decomposition of continuous Box-Ball Systems","ref_index":59,"is_internal_anchor":false},{"citing_arxiv_id":"2310.13338","citing_title":"Heat equation from a deterministic dynamics","ref_index":58,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH","json":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH.json","graph_json":"https://pith.science/api/pith-number/ARS6BTRIX2OKJBB6ICUADVHAPH/graph.json","events_json":"https://pith.science/api/pith-number/ARS6BTRIX2OKJBB6ICUADVHAPH/events.json","paper":"https://pith.science/paper/ARS6BTRI"},"agent_actions":{"view_html":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH","download_json":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH.json","view_paper":"https://pith.science/paper/ARS6BTRI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2301.08504&json=true","fetch_graph":"https://pith.science/api/pith-number/ARS6BTRIX2OKJBB6ICUADVHAPH/graph.json","fetch_events":"https://pith.science/api/pith-number/ARS6BTRIX2OKJBB6ICUADVHAPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH/action/storage_attestation","attest_author":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH/action/author_attestation","sign_citation":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH/action/citation_signature","submit_replication":"https://pith.science/pith/ARS6BTRIX2OKJBB6ICUADVHAPH/action/replication_record"}},"created_at":"2026-07-05T07:26:36.025606+00:00","updated_at":"2026-07-05T07:26:36.025606+00:00"}