{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ABOEEGWQFAQRY7IZRL5FFWXQQU","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":"a6d1e7a055e9af60bc8a04f2c52df2c855c03f446e84b2d3a753d1e37190a194","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-08T03:49:36Z","title_canon_sha256":"2b019abb8d3bc49bbc14f0ba83fd57f47fc33dde32fed22f71fffd33b9ddccee"},"schema_version":"1.0","source":{"id":"2501.04257","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04257","created_at":"2026-07-05T09:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04257v1","created_at":"2026-07-05T09:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04257","created_at":"2026-07-05T09:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"ABOEEGWQFAQR","created_at":"2026-07-05T09:58:32Z"},{"alias_kind":"pith_short_16","alias_value":"ABOEEGWQFAQRY7IZ","created_at":"2026-07-05T09:58:32Z"},{"alias_kind":"pith_short_8","alias_value":"ABOEEGWQ","created_at":"2026-07-05T09:58:32Z"}],"graph_snapshots":[{"event_id":"sha256:ce42767716eda96f62134dfc6cef710d8342a8bc119c6c96de02b6ded506253c","target":"graph","created_at":"2026-07-05T09:58:32Z","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/2501.04257/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider an interacting system of particles with value in $\\mathbb{R}^d \\times \\mathbb{R}^d$, governed by transport and diffusion on the first component, on that may serve as a representative model for kinetic models with a degenerate component. In a first part, we control the fluctuations of the empirical measure of the system around the solution of the corresponding Vlasov-Fokker-Planck equation by proving a Bernstein concentration inequality, extending a previous result of arXiv:2011.03762 in several directions. In a second part, we study the nonparametric statistical estimation of the c","authors_text":"Claudia Fonte Sanchez, Marc Hoffmann","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-08T03:49:36Z","title":"Statistical estimation of a mean-field FitzHugh-Nagumo model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04257","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:dff98439249bc5a9316c248ad86f5edb04091ce37b522abf642713518864d196","target":"record","created_at":"2026-07-05T09:58:32Z","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":"a6d1e7a055e9af60bc8a04f2c52df2c855c03f446e84b2d3a753d1e37190a194","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-08T03:49:36Z","title_canon_sha256":"2b019abb8d3bc49bbc14f0ba83fd57f47fc33dde32fed22f71fffd33b9ddccee"},"schema_version":"1.0","source":{"id":"2501.04257","kind":"arxiv","version":1}},"canonical_sha256":"005c421ad028211c7d198afa52daf0851406da98a2681d439a10815afa5a6c14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"005c421ad028211c7d198afa52daf0851406da98a2681d439a10815afa5a6c14","first_computed_at":"2026-07-05T09:58:32.370203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:32.370203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qJ25N5YA+lFhyb3n/9dRU1bu+4Q1SNsgXkTQ9kN5QfswfViZ0GznIRQ4GmOc/0g50eW73rFHFfaTG/JojmhnCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:32.370668Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04257","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dff98439249bc5a9316c248ad86f5edb04091ce37b522abf642713518864d196","sha256:ce42767716eda96f62134dfc6cef710d8342a8bc119c6c96de02b6ded506253c"],"state_sha256":"4d9958c694a62a46a4cc842fd466f6cb4322154559628f4cbeea952e25b4bf2e"}