{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QDNYBSPTGY5LKT4RR4BFZMD64U","short_pith_number":"pith:QDNYBSPT","schema_version":"1.0","canonical_sha256":"80db80c9f3363ab54f918f025cb07ee512fb50916acca47f158367902610e0b1","source":{"kind":"arxiv","id":"1808.09715","version":2},"attestation_state":"computed","paper":{"title":"Phase transitions in persistent and run-and-tumble walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Van den Broeck, Karel Proesmans, Raul Toral","submitted_at":"2018-08-29T10:26:47Z","abstract_excerpt":"We calculate the large deviation function of the end-to-end distance and the corresponding extension-versus-force relation for (isotropic) random walks, on and off-lattice, with and without persistence, and in any spatial dimension. For off-lattice random walks with persistence, the large deviation function undergoes a first order phase transition in dimension $d> 5$. In the corresponding force-versus-extension relation, the extension becomes independent of the force beyond a critical value. The transition is anticipated in dimensions $d=4$ and $d=5$, where full extension is reached at a finit"},"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":"1808.09715","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-29T10:26:47Z","cross_cats_sorted":[],"title_canon_sha256":"9baf565ced5cbf72532176389d8f4a7983ca1ac6f6ccdcca09d7797431a67e3b","abstract_canon_sha256":"45b8439d335c36fe0979ba56cdaf09908174e39764d8a05208b1ec739ef48e03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:48.982816Z","signature_b64":"xwebidnkltoYury5lA0xtK1cb/WS/i0VXQ3lSEXUsT+zV06Ehsfe0UfX4i53CiXVKwP/ffcWwWVgVfy+3vDbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80db80c9f3363ab54f918f025cb07ee512fb50916acca47f158367902610e0b1","last_reissued_at":"2026-05-17T23:50:48.982122Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:48.982122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions in persistent and run-and-tumble walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Van den Broeck, Karel Proesmans, Raul Toral","submitted_at":"2018-08-29T10:26:47Z","abstract_excerpt":"We calculate the large deviation function of the end-to-end distance and the corresponding extension-versus-force relation for (isotropic) random walks, on and off-lattice, with and without persistence, and in any spatial dimension. For off-lattice random walks with persistence, the large deviation function undergoes a first order phase transition in dimension $d> 5$. In the corresponding force-versus-extension relation, the extension becomes independent of the force beyond a critical value. The transition is anticipated in dimensions $d=4$ and $d=5$, where full extension is reached at a finit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09715","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":"1808.09715","created_at":"2026-05-17T23:50:48.982229+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.09715v2","created_at":"2026-05-17T23:50:48.982229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09715","created_at":"2026-05-17T23:50:48.982229+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDNYBSPTGY5L","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDNYBSPTGY5LKT4R","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDNYBSPT","created_at":"2026-05-18T12:32:46.962924+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/QDNYBSPTGY5LKT4RR4BFZMD64U","json":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U.json","graph_json":"https://pith.science/api/pith-number/QDNYBSPTGY5LKT4RR4BFZMD64U/graph.json","events_json":"https://pith.science/api/pith-number/QDNYBSPTGY5LKT4RR4BFZMD64U/events.json","paper":"https://pith.science/paper/QDNYBSPT"},"agent_actions":{"view_html":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U","download_json":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U.json","view_paper":"https://pith.science/paper/QDNYBSPT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.09715&json=true","fetch_graph":"https://pith.science/api/pith-number/QDNYBSPTGY5LKT4RR4BFZMD64U/graph.json","fetch_events":"https://pith.science/api/pith-number/QDNYBSPTGY5LKT4RR4BFZMD64U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U/action/storage_attestation","attest_author":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U/action/author_attestation","sign_citation":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U/action/citation_signature","submit_replication":"https://pith.science/pith/QDNYBSPTGY5LKT4RR4BFZMD64U/action/replication_record"}},"created_at":"2026-05-17T23:50:48.982229+00:00","updated_at":"2026-05-17T23:50:48.982229+00:00"}