{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C22LNRLACQEOXUCPKQBPITVIYU","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":"f5792be5ac1cd1f76079f89ef2886a21d57166ab016f808823b5e5856ca72c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-30T13:04:44Z","title_canon_sha256":"0fb9665d8b87f39b95d67337345410a42787e06838c4edc764e77217c69c7c17"},"schema_version":"1.0","source":{"id":"1801.09971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09971","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09971v1","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09971","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"C22LNRLACQEO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C22LNRLACQEOXUCP","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C22LNRLA","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:e1d42b7bb4c873919460a15c98cf194389d796058625b69f95cf2af1fdeaeb8d","target":"graph","created_at":"2026-05-18T00:13:28Z","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":"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","authors_text":"Abhinava Chatterjee, Andreas Schadschneider, Christos Christou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-30T13:04:44Z","title":"Diffusion with Resetting Inside a Circle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09971","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":"sha256:1c3836f2666fb7cf91bfca10d9cbb7d367017cc7b0472a2c4e42d47dd995bc04","target":"record","created_at":"2026-05-18T00:13:28Z","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":"f5792be5ac1cd1f76079f89ef2886a21d57166ab016f808823b5e5856ca72c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-01-30T13:04:44Z","title_canon_sha256":"0fb9665d8b87f39b95d67337345410a42787e06838c4edc764e77217c69c7c17"},"schema_version":"1.0","source":{"id":"1801.09971","kind":"arxiv","version":1}},"canonical_sha256":"16b4b6c5601408ebd04f5402f44ea8c51fb198e7423118dfd05327614304c236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b4b6c5601408ebd04f5402f44ea8c51fb198e7423118dfd05327614304c236","first_computed_at":"2026-05-18T00:13:28.146847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:28.146847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SSng8V0wzHrnAAmUtDZIfcfXq58tFI5gg94e1Y/NDkIXwWFWPtyprCTbWd14h8IVEe+AL7rEabqbgvu6vFkvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:28.147420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c3836f2666fb7cf91bfca10d9cbb7d367017cc7b0472a2c4e42d47dd995bc04","sha256:e1d42b7bb4c873919460a15c98cf194389d796058625b69f95cf2af1fdeaeb8d"],"state_sha256":"c51d5329061ebbde9e9f9dfff13fca0ba996edf1f675d3be94cacdca34581958"}