{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:C22LNRLACQEOXUCPKQBPITVIYU","short_pith_number":"pith:C22LNRLA","schema_version":"1.0","canonical_sha256":"16b4b6c5601408ebd04f5402f44ea8c51fb198e7423118dfd05327614304c236","source":{"kind":"arxiv","id":"1801.09971","version":1},"attestation_state":"computed","paper":{"title":"Diffusion with Resetting Inside a Circle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhinava Chatterjee, Andreas Schadschneider, Christos Christou","submitted_at":"2018-01-30T13:04:44Z","abstract_excerpt":"We study the Brownian motion of a particle in a bounded circular 2-dimensional domain, in search for a stationary target on the boundary of the domain. The process switches between two modes: one where it performs a two-dimensional diffusion inside the circle and one where it travels along the one-dimensional boundary. During the diffusion, the Brownian particle resets to its initial position with a constant rate $r$. The Fokker-Planck formalism allows us to calculate the mean time to absorption (MTA) as well as the optimal resetting rate for which the MTA is minimized. From the derived analyt"},"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":"1801.09971","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-30T13:04:44Z","cross_cats_sorted":[],"title_canon_sha256":"0fb9665d8b87f39b95d67337345410a42787e06838c4edc764e77217c69c7c17","abstract_canon_sha256":"f5792be5ac1cd1f76079f89ef2886a21d57166ab016f808823b5e5856ca72c4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:28.147420Z","signature_b64":"SSng8V0wzHrnAAmUtDZIfcfXq58tFI5gg94e1Y/NDkIXwWFWPtyprCTbWd14h8IVEe+AL7rEabqbgvu6vFkvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b4b6c5601408ebd04f5402f44ea8c51fb198e7423118dfd05327614304c236","last_reissued_at":"2026-05-18T00:13:28.146847Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:28.146847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion with Resetting Inside a Circle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhinava Chatterjee, Andreas Schadschneider, Christos Christou","submitted_at":"2018-01-30T13:04:44Z","abstract_excerpt":"We study the Brownian motion of a particle in a bounded circular 2-dimensional domain, in search for a stationary target on the boundary of the domain. The process switches between two modes: one where it performs a two-dimensional diffusion inside the circle and one where it travels along the one-dimensional boundary. During the diffusion, the Brownian particle resets to its initial position with a constant rate $r$. The Fokker-Planck formalism allows us to calculate the mean time to absorption (MTA) as well as the optimal resetting rate for which the MTA is minimized. From the derived analyt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09971","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":"1801.09971","created_at":"2026-05-18T00:13:28.146921+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.09971v1","created_at":"2026-05-18T00:13:28.146921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09971","created_at":"2026-05-18T00:13:28.146921+00:00"},{"alias_kind":"pith_short_12","alias_value":"C22LNRLACQEO","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"C22LNRLACQEOXUCP","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"C22LNRLA","created_at":"2026-05-18T12:32:16.446611+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/C22LNRLACQEOXUCPKQBPITVIYU","json":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU.json","graph_json":"https://pith.science/api/pith-number/C22LNRLACQEOXUCPKQBPITVIYU/graph.json","events_json":"https://pith.science/api/pith-number/C22LNRLACQEOXUCPKQBPITVIYU/events.json","paper":"https://pith.science/paper/C22LNRLA"},"agent_actions":{"view_html":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU","download_json":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU.json","view_paper":"https://pith.science/paper/C22LNRLA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.09971&json=true","fetch_graph":"https://pith.science/api/pith-number/C22LNRLACQEOXUCPKQBPITVIYU/graph.json","fetch_events":"https://pith.science/api/pith-number/C22LNRLACQEOXUCPKQBPITVIYU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU/action/storage_attestation","attest_author":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU/action/author_attestation","sign_citation":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU/action/citation_signature","submit_replication":"https://pith.science/pith/C22LNRLACQEOXUCPKQBPITVIYU/action/replication_record"}},"created_at":"2026-05-18T00:13:28.146921+00:00","updated_at":"2026-05-18T00:13:28.146921+00:00"}