{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SIQ5OHVHT3BS6WIIY6OIQUY7TO","short_pith_number":"pith:SIQ5OHVH","schema_version":"1.0","canonical_sha256":"9221d71ea79ec32f5908c79c88531f9b9de41d34be0f866383b5ae0a4adb65e7","source":{"kind":"arxiv","id":"1412.7320","version":2},"attestation_state":"computed","paper":{"title":"Nonlocal random motions: The trapping problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Mariusz \\.Zaba, Piotr Garbaczewski","submitted_at":"2014-12-23T11:10:50Z","abstract_excerpt":"L\\'evy stable (jump-type) processes are examples of intrinsically nonlocal random motions. This property becomes a serious obstacle if one attempts to model conditions under which a particular L\\'evy process may be subject to physically implementable manipulations, whose ultimate goal is to confine the random motion in a spatially finite, possibly mesoscopic trap. We analyze thisissue for an exemplary case of the Cauchy process in a finiteinterval. Qualitatively, our observations extend to general jump-type processes that are driven by non-gaussian noises, classified by the integral part of th"},"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":"1412.7320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-12-23T11:10:50Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"title_canon_sha256":"88fa6aed11da81debcc21babee5fedf04815f3b9a4999bc78490df1566026695","abstract_canon_sha256":"6dd2d86f126fe7f30a1b5a8620992d4598a068ed762346a31673ed1c12fe2d6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:32.077738Z","signature_b64":"yU6a1tv6gw+UQKxREoVn9p9rlrWkcZBShVvrKxdIDaC3GiiZjcArIglITY7PANjFB/gbmCHxAt1yH7dMiVhtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9221d71ea79ec32f5908c79c88531f9b9de41d34be0f866383b5ae0a4adb65e7","last_reissued_at":"2026-05-18T01:27:32.077224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:32.077224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlocal random motions: The trapping problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Mariusz \\.Zaba, Piotr Garbaczewski","submitted_at":"2014-12-23T11:10:50Z","abstract_excerpt":"L\\'evy stable (jump-type) processes are examples of intrinsically nonlocal random motions. This property becomes a serious obstacle if one attempts to model conditions under which a particular L\\'evy process may be subject to physically implementable manipulations, whose ultimate goal is to confine the random motion in a spatially finite, possibly mesoscopic trap. We analyze thisissue for an exemplary case of the Cauchy process in a finiteinterval. Qualitatively, our observations extend to general jump-type processes that are driven by non-gaussian noises, classified by the integral part of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7320","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":"1412.7320","created_at":"2026-05-18T01:27:32.077305+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.7320v2","created_at":"2026-05-18T01:27:32.077305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7320","created_at":"2026-05-18T01:27:32.077305+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIQ5OHVHT3BS","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIQ5OHVHT3BS6WII","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIQ5OHVH","created_at":"2026-05-18T12:28:49.207871+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/SIQ5OHVHT3BS6WIIY6OIQUY7TO","json":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO.json","graph_json":"https://pith.science/api/pith-number/SIQ5OHVHT3BS6WIIY6OIQUY7TO/graph.json","events_json":"https://pith.science/api/pith-number/SIQ5OHVHT3BS6WIIY6OIQUY7TO/events.json","paper":"https://pith.science/paper/SIQ5OHVH"},"agent_actions":{"view_html":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO","download_json":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO.json","view_paper":"https://pith.science/paper/SIQ5OHVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.7320&json=true","fetch_graph":"https://pith.science/api/pith-number/SIQ5OHVHT3BS6WIIY6OIQUY7TO/graph.json","fetch_events":"https://pith.science/api/pith-number/SIQ5OHVHT3BS6WIIY6OIQUY7TO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO/action/storage_attestation","attest_author":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO/action/author_attestation","sign_citation":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO/action/citation_signature","submit_replication":"https://pith.science/pith/SIQ5OHVHT3BS6WIIY6OIQUY7TO/action/replication_record"}},"created_at":"2026-05-18T01:27:32.077305+00:00","updated_at":"2026-05-18T01:27:32.077305+00:00"}