{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ABOEEGWQFAQRY7IZRL5FFWXQQU","short_pith_number":"pith:ABOEEGWQ","canonical_record":{"source":{"id":"2501.04257","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-08T03:49:36Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"2b019abb8d3bc49bbc14f0ba83fd57f47fc33dde32fed22f71fffd33b9ddccee","abstract_canon_sha256":"a6d1e7a055e9af60bc8a04f2c52df2c855c03f446e84b2d3a753d1e37190a194"},"schema_version":"1.0"},"canonical_sha256":"005c421ad028211c7d198afa52daf0851406da98a2681d439a10815afa5a6c14","source":{"kind":"arxiv","id":"2501.04257","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ABOEEGWQFAQRY7IZRL5FFWXQQU","target":"record","payload":{"canonical_record":{"source":{"id":"2501.04257","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-01-08T03:49:36Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"2b019abb8d3bc49bbc14f0ba83fd57f47fc33dde32fed22f71fffd33b9ddccee","abstract_canon_sha256":"a6d1e7a055e9af60bc8a04f2c52df2c855c03f446e84b2d3a753d1e37190a194"},"schema_version":"1.0"},"canonical_sha256":"005c421ad028211c7d198afa52daf0851406da98a2681d439a10815afa5a6c14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:32.370668Z","signature_b64":"qJ25N5YA+lFhyb3n/9dRU1bu+4Q1SNsgXkTQ9kN5QfswfViZ0GznIRQ4GmOc/0g50eW73rFHFfaTG/JojmhnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"005c421ad028211c7d198afa52daf0851406da98a2681d439a10815afa5a6c14","last_reissued_at":"2026-07-05T09:58:32.370203Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:32.370203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.04257","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4pAE4iRbSfDoQVBnVFqcxeMIpsSYIA9FKj//wa7HxrJFoO4ECVkA+PfcYrsDIwb9vTr81U5uJAKKCq6rKLg4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:37:58.329463Z"},"content_sha256":"dff98439249bc5a9316c248ad86f5edb04091ce37b522abf642713518864d196","schema_version":"1.0","event_id":"sha256:dff98439249bc5a9316c248ad86f5edb04091ce37b522abf642713518864d196"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ABOEEGWQFAQRY7IZRL5FFWXQQU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical estimation of a mean-field FitzHugh-Nagumo model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Claudia Fonte Sanchez, Marc Hoffmann","submitted_at":"2025-01-08T03:49:36Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04257","kind":"arxiv","version":1},"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/2501.04257/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VXa0w9Egm4BbE3dSgygFu9cqMnAZY8UoIcDGGhQmPFA12ZSJosBfEPg0zq4g2B9zmweanhdok3REi6FyukBfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T17:37:58.330010Z"},"content_sha256":"ce42767716eda96f62134dfc6cef710d8342a8bc119c6c96de02b6ded506253c","schema_version":"1.0","event_id":"sha256:ce42767716eda96f62134dfc6cef710d8342a8bc119c6c96de02b6ded506253c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/bundle.json","state_url":"https://pith.science/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T17:37:58Z","links":{"resolver":"https://pith.science/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU","bundle":"https://pith.science/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/bundle.json","state":"https://pith.science/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABOEEGWQFAQRY7IZRL5FFWXQQU/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9rjQohyHldsq7pM1zawIF6TtBOLe+vkl8EmdbOju3z7TIgcQJOg3WQL7qAaLJj8o9+zoo9alStTD8ffMcMTyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T17:37:58.334662Z","bundle_sha256":"bb25cddd6ab6d8f14a2ca887b7f53729ed8e196ade30a537c0828c7422e79b4e"}}