{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HD2CJ2R2FAC4XIRVV2YQF66WZF","short_pith_number":"pith:HD2CJ2R2","schema_version":"1.0","canonical_sha256":"38f424ea3a2805cba235aeb102fbd6c961f4a4d69348da1c3f33574232df9e92","source":{"kind":"arxiv","id":"1111.6193","version":2},"attestation_state":"computed","paper":{"title":"Lorentz Process with shrinking holes in a wall","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Domokos Szasz, Peter Nandori","submitted_at":"2011-11-26T21:04:36Z","abstract_excerpt":"We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used."},"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":"1111.6193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-26T21:04:36Z","cross_cats_sorted":[],"title_canon_sha256":"e1b8f3401a07cbe8743cbd7a25d58010dfc6348f4606447520904d38585d739b","abstract_canon_sha256":"54f91b54324611639c39dfb34b6212baf5c73e046d41c8e7b3c64b1cddffad83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:23.779191Z","signature_b64":"n0AfZqLT9LFwCu8OQCwzB5L8rXSDLMFaviBibaBqUehEc/ntCQYwi4s+MWFXN4uCjSt6aIsLaPqH3OH8lMHHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38f424ea3a2805cba235aeb102fbd6c961f4a4d69348da1c3f33574232df9e92","last_reissued_at":"2026-05-18T01:18:23.778417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:23.778417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lorentz Process with shrinking holes in a wall","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Domokos Szasz, Peter Nandori","submitted_at":"2011-11-26T21:04:36Z","abstract_excerpt":"We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6193","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":"1111.6193","created_at":"2026-05-18T01:18:23.778521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.6193v2","created_at":"2026-05-18T01:18:23.778521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6193","created_at":"2026-05-18T01:18:23.778521+00:00"},{"alias_kind":"pith_short_12","alias_value":"HD2CJ2R2FAC4","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HD2CJ2R2FAC4XIRV","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HD2CJ2R2","created_at":"2026-05-18T12:26:30.835961+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/HD2CJ2R2FAC4XIRVV2YQF66WZF","json":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF.json","graph_json":"https://pith.science/api/pith-number/HD2CJ2R2FAC4XIRVV2YQF66WZF/graph.json","events_json":"https://pith.science/api/pith-number/HD2CJ2R2FAC4XIRVV2YQF66WZF/events.json","paper":"https://pith.science/paper/HD2CJ2R2"},"agent_actions":{"view_html":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF","download_json":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF.json","view_paper":"https://pith.science/paper/HD2CJ2R2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.6193&json=true","fetch_graph":"https://pith.science/api/pith-number/HD2CJ2R2FAC4XIRVV2YQF66WZF/graph.json","fetch_events":"https://pith.science/api/pith-number/HD2CJ2R2FAC4XIRVV2YQF66WZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF/action/storage_attestation","attest_author":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF/action/author_attestation","sign_citation":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF/action/citation_signature","submit_replication":"https://pith.science/pith/HD2CJ2R2FAC4XIRVV2YQF66WZF/action/replication_record"}},"created_at":"2026-05-18T01:18:23.778521+00:00","updated_at":"2026-05-18T01:18:23.778521+00:00"}