{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X3NKVOISCGTZ3SHS6TBFLQ5AMF","short_pith_number":"pith:X3NKVOIS","schema_version":"1.0","canonical_sha256":"bedaaab91211a79dc8f2f4c255c3a061752e5bd507d85e321e94426b1c657d38","source":{"kind":"arxiv","id":"1810.12798","version":2},"attestation_state":"computed","paper":{"title":"Transport properties and first arrival statistics of random searches with stochastic reset times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Axel Mas\\'o-Puigdellosas, Daniel Campos, Vicen\\c{c} M\\'endez","submitted_at":"2018-10-30T15:08:47Z","abstract_excerpt":"Stochastic resets have lately emerged as a mechanism able to generate finite equilibrium mean square displacement (MSD) when they are applied to diffusive motion. Furthermore, walkers with an infinite mean first arrival time (MFAT) to a given position $x$, may reach it in a finite time when they reset their position. In this work we study these emerging phenomena from a unified perspective. On one hand we study the existence of a finite equilibrium MSD when resets are applied to random motion with $\\langle x^2(t)\\rangle _m\\sim t^p$ for $0<p\\leq2$. For exponentially distributed reset times, a c"},"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":"1810.12798","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-10-30T15:08:47Z","cross_cats_sorted":[],"title_canon_sha256":"824976f79fb546af61597ba997aefb94190820b6efab72889fdfc2db585e7ef9","abstract_canon_sha256":"90569cbded16dc1aea4bb63b54ab5d05f5e42f181de74e5b471f823243280b02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:43.000092Z","signature_b64":"K1ckNDwWv4NVyUTYUg8QaoViWdflOacC0rkUJAXuZUUR3A8vVV1aH7yJdfliXVbf3Ty0vodaL6lpnmEUSjZUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bedaaab91211a79dc8f2f4c255c3a061752e5bd507d85e321e94426b1c657d38","last_reissued_at":"2026-05-17T23:54:42.999485Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:42.999485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transport properties and first arrival statistics of random searches with stochastic reset times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Axel Mas\\'o-Puigdellosas, Daniel Campos, Vicen\\c{c} M\\'endez","submitted_at":"2018-10-30T15:08:47Z","abstract_excerpt":"Stochastic resets have lately emerged as a mechanism able to generate finite equilibrium mean square displacement (MSD) when they are applied to diffusive motion. Furthermore, walkers with an infinite mean first arrival time (MFAT) to a given position $x$, may reach it in a finite time when they reset their position. In this work we study these emerging phenomena from a unified perspective. On one hand we study the existence of a finite equilibrium MSD when resets are applied to random motion with $\\langle x^2(t)\\rangle _m\\sim t^p$ for $0<p\\leq2$. For exponentially distributed reset times, a c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12798","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":"1810.12798","created_at":"2026-05-17T23:54:42.999565+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.12798v2","created_at":"2026-05-17T23:54:42.999565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12798","created_at":"2026-05-17T23:54:42.999565+00:00"},{"alias_kind":"pith_short_12","alias_value":"X3NKVOISCGTZ","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X3NKVOISCGTZ3SHS","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X3NKVOIS","created_at":"2026-05-18T12:33:01.666342+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/X3NKVOISCGTZ3SHS6TBFLQ5AMF","json":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF.json","graph_json":"https://pith.science/api/pith-number/X3NKVOISCGTZ3SHS6TBFLQ5AMF/graph.json","events_json":"https://pith.science/api/pith-number/X3NKVOISCGTZ3SHS6TBFLQ5AMF/events.json","paper":"https://pith.science/paper/X3NKVOIS"},"agent_actions":{"view_html":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF","download_json":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF.json","view_paper":"https://pith.science/paper/X3NKVOIS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.12798&json=true","fetch_graph":"https://pith.science/api/pith-number/X3NKVOISCGTZ3SHS6TBFLQ5AMF/graph.json","fetch_events":"https://pith.science/api/pith-number/X3NKVOISCGTZ3SHS6TBFLQ5AMF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF/action/storage_attestation","attest_author":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF/action/author_attestation","sign_citation":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF/action/citation_signature","submit_replication":"https://pith.science/pith/X3NKVOISCGTZ3SHS6TBFLQ5AMF/action/replication_record"}},"created_at":"2026-05-17T23:54:42.999565+00:00","updated_at":"2026-05-17T23:54:42.999565+00:00"}