{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:GMWA33MYOZV5M7URDHC536WHZT","short_pith_number":"pith:GMWA33MY","schema_version":"1.0","canonical_sha256":"332c0ded98766bd67e9119c5ddfac7ccc1a6958953978dca88a425472b69f11b","source":{"kind":"arxiv","id":"math/0411660","version":2},"attestation_state":"computed","paper":{"title":"Large deviations for trapped interacting Brownian particles and paths","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jean-Bernard Bru, Stefan Adams, Wolfgang K\\\"onig","submitted_at":"2004-11-30T16:07:37Z","abstract_excerpt":"We introduce two probabilistic models for $N$ interacting Brownian motions moving in a trap in $\\mathbb {R}^d$ under mutually repellent forces. The two models are defined in terms of transformed path measures on finite time intervals under a trap Hamiltonian and two respective pair-interaction Hamiltonians. The first pair interaction exhibits a particle repellency, while the second one imposes a path repellency. We analyze both models in the limit of diverging time with fixed number $N$ of Brownian motions. In particular, we prove large deviations principles for the normalized occupation measu"},"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":"math/0411660","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2004-11-30T16:07:37Z","cross_cats_sorted":[],"title_canon_sha256":"f842c61bc3a41d78137bf3ff9c042aa842aedf108bae4f5ce53527fba1f9d7a4","abstract_canon_sha256":"ebcb8016071ad657c5fcdb8071602269b51d74d742959d5636c5021ae2c94e95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:51.474115Z","signature_b64":"P/41zzhGu95ZARF4cm3GzygiO9SZ1N/siYln623QnygIkxHJn8J2ejePShFzmSWOMoTngD7aKQLn/ipN+4HlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"332c0ded98766bd67e9119c5ddfac7ccc1a6958953978dca88a425472b69f11b","last_reissued_at":"2026-05-18T01:08:51.473588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:51.473588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for trapped interacting Brownian particles and paths","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jean-Bernard Bru, Stefan Adams, Wolfgang K\\\"onig","submitted_at":"2004-11-30T16:07:37Z","abstract_excerpt":"We introduce two probabilistic models for $N$ interacting Brownian motions moving in a trap in $\\mathbb {R}^d$ under mutually repellent forces. The two models are defined in terms of transformed path measures on finite time intervals under a trap Hamiltonian and two respective pair-interaction Hamiltonians. The first pair interaction exhibits a particle repellency, while the second one imposes a path repellency. We analyze both models in the limit of diverging time with fixed number $N$ of Brownian motions. In particular, we prove large deviations principles for the normalized occupation measu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411660","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":""},"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":"math/0411660","created_at":"2026-05-18T01:08:51.473676+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0411660v2","created_at":"2026-05-18T01:08:51.473676+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411660","created_at":"2026-05-18T01:08:51.473676+00:00"},{"alias_kind":"pith_short_12","alias_value":"GMWA33MYOZV5","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"GMWA33MYOZV5M7UR","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"GMWA33MY","created_at":"2026-05-18T12:25:52.687210+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT","json":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT.json","graph_json":"https://pith.science/api/pith-number/GMWA33MYOZV5M7URDHC536WHZT/graph.json","events_json":"https://pith.science/api/pith-number/GMWA33MYOZV5M7URDHC536WHZT/events.json","paper":"https://pith.science/paper/GMWA33MY"},"agent_actions":{"view_html":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT","download_json":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT.json","view_paper":"https://pith.science/paper/GMWA33MY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0411660&json=true","fetch_graph":"https://pith.science/api/pith-number/GMWA33MYOZV5M7URDHC536WHZT/graph.json","fetch_events":"https://pith.science/api/pith-number/GMWA33MYOZV5M7URDHC536WHZT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT/action/storage_attestation","attest_author":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT/action/author_attestation","sign_citation":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT/action/citation_signature","submit_replication":"https://pith.science/pith/GMWA33MYOZV5M7URDHC536WHZT/action/replication_record"}},"created_at":"2026-05-18T01:08:51.473676+00:00","updated_at":"2026-05-18T01:08:51.473676+00:00"}