{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LRAVPWGKBOLQYHKP3RSBDPDB4B","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":"355c6d3fef4bc270d98b5b709e2ff9b9360f681fbd77e86291899c48e4be0fae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-19T11:35:59Z","title_canon_sha256":"39dccee7e9597760eef62b5f54b7ed4395314118016c272e3ff5a861acf56208"},"schema_version":"1.0","source":{"id":"2403.12651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.12651","created_at":"2026-07-05T09:56:50Z"},{"alias_kind":"arxiv_version","alias_value":"2403.12651v1","created_at":"2026-07-05T09:56:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.12651","created_at":"2026-07-05T09:56:50Z"},{"alias_kind":"pith_short_12","alias_value":"LRAVPWGKBOLQ","created_at":"2026-07-05T09:56:50Z"},{"alias_kind":"pith_short_16","alias_value":"LRAVPWGKBOLQYHKP","created_at":"2026-07-05T09:56:50Z"},{"alias_kind":"pith_short_8","alias_value":"LRAVPWGK","created_at":"2026-07-05T09:56:50Z"}],"graph_snapshots":[{"event_id":"sha256:a6043ea25de512b39759b7b0692768797744f6fd2d906382a8719f9eb0eca737","target":"graph","created_at":"2026-07-05T09:56:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.12651/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.","authors_text":"Jos\\'e Antonio Carrillo, Pierre-Emmanuel Jabin, Shuchen Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-19T11:35:59Z","title":"Mean-field derivation of Landau-like equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.12651","kind":"arxiv","version":1},"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":"sha256:84962fdeec06232a2ff983345fb36f39869263c3518249ce37ac2ff7922815ed","target":"record","created_at":"2026-07-05T09:56:50Z","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":"355c6d3fef4bc270d98b5b709e2ff9b9360f681fbd77e86291899c48e4be0fae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-03-19T11:35:59Z","title_canon_sha256":"39dccee7e9597760eef62b5f54b7ed4395314118016c272e3ff5a861acf56208"},"schema_version":"1.0","source":{"id":"2403.12651","kind":"arxiv","version":1}},"canonical_sha256":"5c4157d8ca0b970c1d4fdc6411bc61e06f0a7cf2b1e4a65f675348e0bd3ae64e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c4157d8ca0b970c1d4fdc6411bc61e06f0a7cf2b1e4a65f675348e0bd3ae64e","first_computed_at":"2026-07-05T09:56:50.373482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:50.373482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HuJhOQtkyWMRnB105kENEksH0e5bC/0PzrsfPKFX3tzcDrljCre2lnjqBO4kgQME9cuNXOldXNwQ1ABI/VQsAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:50.373874Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.12651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84962fdeec06232a2ff983345fb36f39869263c3518249ce37ac2ff7922815ed","sha256:a6043ea25de512b39759b7b0692768797744f6fd2d906382a8719f9eb0eca737"],"state_sha256":"d6ce80a6689ef4dad57146c18ee6388c066cbeeb546682cb3c13fdd0e644a7ae"}