{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IPFIAGFBKZPV3LRU5QZFB5HZVT","short_pith_number":"pith:IPFIAGFB","schema_version":"1.0","canonical_sha256":"43ca8018a1565f5dae34ec3250f4f9acdb4e28120c14b0994c95d7e1ee228409","source":{"kind":"arxiv","id":"2411.13467","version":2},"attestation_state":"computed","paper":{"title":"The Dean-Kawasaki equation and stochastic density functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Pierre Illien","submitted_at":"2024-11-20T17:15:29Z","abstract_excerpt":"The Dean-Kawasaki (DK) equation, which is at the basis of stochastic density functional theory (SDFT), was proposed in the mid-nineties to describe the evolution of the density of interacting Brownian particles, which can represent a large number of systems such as colloidal suspensions, supercooled liquids, polymer melts, biological molecules, active or chemotactic particles, or ions in solution. This theoretical framework, which can be summarized as a mathematical reformulation of the coupled overdamped Langevin equations that govern the dynamics of the particles, has attracted a significant"},"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":"2411.13467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2024-11-20T17:15:29Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f74f308c23e3ac5e34b8f8c544d68015c45bf17baa886a5a3dd5779c9765518b","abstract_canon_sha256":"1b6b6016d1bd2d87719ce2ffc57b3c702ea17b4cb961b25341e64b6cb5c198dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:01:28.907308Z","signature_b64":"G0xSW+F9zdbRwcVVl1NinYXPP6UfGXaVpR1qb7CKIF6+8CuxFgz4t7ldW2ya6SfxxW+GmFqVBCvMKXxG8waeDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43ca8018a1565f5dae34ec3250f4f9acdb4e28120c14b0994c95d7e1ee228409","last_reissued_at":"2026-07-05T11:01:28.906832Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:01:28.906832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Dean-Kawasaki equation and stochastic density functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Pierre Illien","submitted_at":"2024-11-20T17:15:29Z","abstract_excerpt":"The Dean-Kawasaki (DK) equation, which is at the basis of stochastic density functional theory (SDFT), was proposed in the mid-nineties to describe the evolution of the density of interacting Brownian particles, which can represent a large number of systems such as colloidal suspensions, supercooled liquids, polymer melts, biological molecules, active or chemotactic particles, or ions in solution. This theoretical framework, which can be summarized as a mathematical reformulation of the coupled overdamped Langevin equations that govern the dynamics of the particles, has attracted a significant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13467","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/2411.13467/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":"2411.13467","created_at":"2026-07-05T11:01:28.906891+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.13467v2","created_at":"2026-07-05T11:01:28.906891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13467","created_at":"2026-07-05T11:01:28.906891+00:00"},{"alias_kind":"pith_short_12","alias_value":"IPFIAGFBKZPV","created_at":"2026-07-05T11:01:28.906891+00:00"},{"alias_kind":"pith_short_16","alias_value":"IPFIAGFBKZPV3LRU","created_at":"2026-07-05T11:01:28.906891+00:00"},{"alias_kind":"pith_short_8","alias_value":"IPFIAGFB","created_at":"2026-07-05T11:01:28.906891+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.05366","citing_title":"Frustrated Fields: Statistical Field Theory for Frustrated Brownian Particles on 2D Manifolds","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT","json":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT.json","graph_json":"https://pith.science/api/pith-number/IPFIAGFBKZPV3LRU5QZFB5HZVT/graph.json","events_json":"https://pith.science/api/pith-number/IPFIAGFBKZPV3LRU5QZFB5HZVT/events.json","paper":"https://pith.science/paper/IPFIAGFB"},"agent_actions":{"view_html":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT","download_json":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT.json","view_paper":"https://pith.science/paper/IPFIAGFB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.13467&json=true","fetch_graph":"https://pith.science/api/pith-number/IPFIAGFBKZPV3LRU5QZFB5HZVT/graph.json","fetch_events":"https://pith.science/api/pith-number/IPFIAGFBKZPV3LRU5QZFB5HZVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT/action/storage_attestation","attest_author":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT/action/author_attestation","sign_citation":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT/action/citation_signature","submit_replication":"https://pith.science/pith/IPFIAGFBKZPV3LRU5QZFB5HZVT/action/replication_record"}},"created_at":"2026-07-05T11:01:28.906891+00:00","updated_at":"2026-07-05T11:01:28.906891+00:00"}