{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:F33U33GCDPLS3Z233QWPZYO7ZF","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":"342156d0ea6b17a134fd4ebbe70ed182b06783be7ad89269711ea94e0b948272","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-20T17:17:47Z","title_canon_sha256":"f3f84a2c28bc0e26198934d0e91010d754e3cfe7848b28fabc1f0ee30818fcb0"},"schema_version":"1.0","source":{"id":"2312.13200","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.13200","created_at":"2026-07-05T08:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"2312.13200v3","created_at":"2026-07-05T08:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.13200","created_at":"2026-07-05T08:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"F33U33GCDPLS","created_at":"2026-07-05T08:21:46Z"},{"alias_kind":"pith_short_16","alias_value":"F33U33GCDPLS3Z23","created_at":"2026-07-05T08:21:46Z"},{"alias_kind":"pith_short_8","alias_value":"F33U33GC","created_at":"2026-07-05T08:21:46Z"}],"graph_snapshots":[{"event_id":"sha256:411ba827b25d563eacf5b22934d858589fc1bbcf4e0253863b08019924cb9232","target":"graph","created_at":"2026-07-05T08:21:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.13200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The connection between absorbing boundary conditions and hard walls is well established in the mathematical literature for a variety of stochastic models, including for instance the Brownian motion. In this paper we explore this duality for a different type of process which is of particular interest in physics and biology, namely the run-tumble-particle, a toy model of active particle. For a one-dimensional run-and-tumble particle subjected to an arbitrary external force, we provide a duality relation between the exit probability, i.e. the probability that the particle exits an interval from a","authors_text":"L\\'eo Touzo, Mathis Gu\\'eneau","cross_cats":["cond-mat.soft","math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-20T17:17:47Z","title":"Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.13200","kind":"arxiv","version":3},"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":"sha256:506be3743c383c06fb88ee514bccba54f56d6153b61dc3dcb5e16d716c9b24ae","target":"record","created_at":"2026-07-05T08:21:46Z","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":"342156d0ea6b17a134fd4ebbe70ed182b06783be7ad89269711ea94e0b948272","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-20T17:17:47Z","title_canon_sha256":"f3f84a2c28bc0e26198934d0e91010d754e3cfe7848b28fabc1f0ee30818fcb0"},"schema_version":"1.0","source":{"id":"2312.13200","kind":"arxiv","version":3}},"canonical_sha256":"2ef74decc21bd72de75bdc2cfce1dfc949ed48b1a3013754ec3f0dae69bf80d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ef74decc21bd72de75bdc2cfce1dfc949ed48b1a3013754ec3f0dae69bf80d0","first_computed_at":"2026-07-05T08:21:46.265099Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:21:46.265099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xr5t3L4GKZedse/0WI3nyANTESyEulQzlNwTSwaH8Kbq0yM+qBxy88g6aU6M4cInyyYl0Qpun3TO0bkO0LLuDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:21:46.265661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.13200","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:506be3743c383c06fb88ee514bccba54f56d6153b61dc3dcb5e16d716c9b24ae","sha256:411ba827b25d563eacf5b22934d858589fc1bbcf4e0253863b08019924cb9232"],"state_sha256":"6ca74c9f17e39d72dcb635a8b9536e6b60d36dcf842d1e6ec3cccf6939f609f0"}