{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EWBDM5PVIRGOMLQG6KZP7Z7J2Q","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":"e07d3bcd978d557b644f4eec3cd301be6b1896ee7a1b549dee73f95e96b6f71b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-17T09:15:45Z","title_canon_sha256":"d9af8db11b13163ef5fe81bf743abfcd758bf93e3c31d7fac420996656fd3c3f"},"schema_version":"1.0","source":{"id":"1701.04584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04584","created_at":"2026-05-18T00:49:09Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04584v1","created_at":"2026-05-18T00:49:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04584","created_at":"2026-05-18T00:49:09Z"},{"alias_kind":"pith_short_12","alias_value":"EWBDM5PVIRGO","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EWBDM5PVIRGOMLQG","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EWBDM5PV","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:c85cffe30a88f75419aaff1faa17c229cfd0616e4be55144a374f79bbef0769b","target":"graph","created_at":"2026-05-18T00:49:09Z","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"},"paper":{"abstract_excerpt":"In this paper, the absorption of a particle undergoing L\\'{e}vy flight in the presence of a point sink of arbitrary strength and position is studied. The motion of such a particle is given by a modified Fokker-Planck equation whose exact solution in the Laplace domain can be described in terms of the Laplace transform of the unperturbed (absence of the sink) Green's function. This solution for the Green's function is a well-studied, generic result which applies to both fractional and usual Fokker-Planck equations alike. Using this result, the propagator and the absorption time distribution are","authors_text":"Deepika Janakiraman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-17T09:15:45Z","title":"L\\'{e}vy flights in the presence of a point sink of finite strength"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04584","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":"sha256:37222e9960d78ba98504ae1fcf46a47126b50679ae7c58e2ac8b1320e627d052","target":"record","created_at":"2026-05-18T00:49:09Z","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":"e07d3bcd978d557b644f4eec3cd301be6b1896ee7a1b549dee73f95e96b6f71b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-17T09:15:45Z","title_canon_sha256":"d9af8db11b13163ef5fe81bf743abfcd758bf93e3c31d7fac420996656fd3c3f"},"schema_version":"1.0","source":{"id":"1701.04584","kind":"arxiv","version":1}},"canonical_sha256":"25823675f5444ce62e06f2b2ffe7e9d4398745c92c968b38d60a8ed68e386fba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25823675f5444ce62e06f2b2ffe7e9d4398745c92c968b38d60a8ed68e386fba","first_computed_at":"2026-05-18T00:49:09.849292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:09.849292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HaNjCTPz/7pHF/BHmAJwpEBuOn8GFk7fjz7St0YJU6mkjtcjEvcN1BkPzpz1DMX8PbPqF+hqFAF7i+Zw7+0RAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:09.849866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37222e9960d78ba98504ae1fcf46a47126b50679ae7c58e2ac8b1320e627d052","sha256:c85cffe30a88f75419aaff1faa17c229cfd0616e4be55144a374f79bbef0769b"],"state_sha256":"ff85e712d0a248dd4f660052946ac97acedb93afa7092266a5e66bce458269b6"}