{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:L7MMFK3RWK3ZC4J74YETAGFBAF","short_pith_number":"pith:L7MMFK3R","schema_version":"1.0","canonical_sha256":"5fd8c2ab71b2b791713fe6093018a10169896a252c147a729c3e756b515c813f","source":{"kind":"arxiv","id":"1102.3633","version":1},"attestation_state":"computed","paper":{"title":"First passage behaviour of fractional Brownian motion in two-dimensional wedge domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. V. Chechkin, J.-H. Jeon, R. Metzler","submitted_at":"2011-02-17T16:59:58Z","abstract_excerpt":"We study the survival probability and the corresponding first passage time density of fractional Brownian motion confined to a two-dimensional open wedge domain with absorbing boundaries. By analytical arguments and numerical simulation we show that in the long time limit the first passage time density scales as t**{-1+pi*(2H-2)/(2*Theta)} in terms of the Hurst exponent H and the wedge angle Theta. We discuss this scaling behaviour in connection with the reaction kinetics of FBM particles in a one-dimensional domain."},"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":"1102.3633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-17T16:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"42b9316c5c63590f8b7e1fda5972bacfd1ccd613a0763690f9fc55c599737d1c","abstract_canon_sha256":"33f61a73dd25c39a0e67c053ba4648c89fd829a8049b0b712e86b488c092574e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:09.872688Z","signature_b64":"QnileK1ltNpangkxzMbqkflcY4oKJ9kmwQT/jftUtb7bNiM2hJlGkLNbaj/SS742RsluFmsuhJroghM4ozQYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fd8c2ab71b2b791713fe6093018a10169896a252c147a729c3e756b515c813f","last_reissued_at":"2026-05-18T02:03:09.871880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:09.871880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"First passage behaviour of fractional Brownian motion in two-dimensional wedge domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. V. Chechkin, J.-H. Jeon, R. Metzler","submitted_at":"2011-02-17T16:59:58Z","abstract_excerpt":"We study the survival probability and the corresponding first passage time density of fractional Brownian motion confined to a two-dimensional open wedge domain with absorbing boundaries. By analytical arguments and numerical simulation we show that in the long time limit the first passage time density scales as t**{-1+pi*(2H-2)/(2*Theta)} in terms of the Hurst exponent H and the wedge angle Theta. We discuss this scaling behaviour in connection with the reaction kinetics of FBM particles in a one-dimensional domain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3633","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":""},"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":"1102.3633","created_at":"2026-05-18T02:03:09.872017+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.3633v1","created_at":"2026-05-18T02:03:09.872017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3633","created_at":"2026-05-18T02:03:09.872017+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7MMFK3RWK3Z","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7MMFK3RWK3ZC4J7","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7MMFK3R","created_at":"2026-05-18T12:26:34.985390+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/L7MMFK3RWK3ZC4J74YETAGFBAF","json":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF.json","graph_json":"https://pith.science/api/pith-number/L7MMFK3RWK3ZC4J74YETAGFBAF/graph.json","events_json":"https://pith.science/api/pith-number/L7MMFK3RWK3ZC4J74YETAGFBAF/events.json","paper":"https://pith.science/paper/L7MMFK3R"},"agent_actions":{"view_html":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF","download_json":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF.json","view_paper":"https://pith.science/paper/L7MMFK3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.3633&json=true","fetch_graph":"https://pith.science/api/pith-number/L7MMFK3RWK3ZC4J74YETAGFBAF/graph.json","fetch_events":"https://pith.science/api/pith-number/L7MMFK3RWK3ZC4J74YETAGFBAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF/action/storage_attestation","attest_author":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF/action/author_attestation","sign_citation":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF/action/citation_signature","submit_replication":"https://pith.science/pith/L7MMFK3RWK3ZC4J74YETAGFBAF/action/replication_record"}},"created_at":"2026-05-18T02:03:09.872017+00:00","updated_at":"2026-05-18T02:03:09.872017+00:00"}