{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:MF2SYZ5SIFGIMSJRP24JQMT3UL","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":"f11529bdfbe044e27bd5076e6e64fd343335dfb046d57d7aa0ec9f9d21f0b8ce","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":"2023-02-06T17:11:26Z","title_canon_sha256":"6b9d6cbb695601fffed9acd2c58471f9049697be771ff587eadc2e2a5420562d"},"schema_version":"1.0","source":{"id":"2302.02937","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.02937","created_at":"2026-07-05T07:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"2302.02937v2","created_at":"2026-07-05T07:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.02937","created_at":"2026-07-05T07:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"MF2SYZ5SIFGI","created_at":"2026-07-05T07:15:52Z"},{"alias_kind":"pith_short_16","alias_value":"MF2SYZ5SIFGIMSJR","created_at":"2026-07-05T07:15:52Z"},{"alias_kind":"pith_short_8","alias_value":"MF2SYZ5S","created_at":"2026-07-05T07:15:52Z"}],"graph_snapshots":[{"event_id":"sha256:c2ec2a98959ba080b3cf189f2e4140c6f2259ce9394583f9fff27c19b0ea0084","target":"graph","created_at":"2026-07-05T07:15:52Z","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/2302.02937/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce and study a model in one dimension of $N$ run-and-tumble particles (RTP) which repel each other logarithmically in the presence of an external quadratic potential. This is an \"active'' version of the well-known Dyson Brownian motion (DBM) where the particles are subjected to a telegraphic noise, with two possible states $\\pm$ with velocity $\\pm v_0$. We study analytically and numerically two different versions of this model. In model I a particle only interacts with particles in the same state, while in model II all the particles interact with each other. In the large time limit, ","authors_text":"Gregory Schehr, Leo Touzo, Pierre Le Doussal","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":"2023-02-06T17:11:26Z","title":"Interacting, running and tumbling: the active Dyson Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.02937","kind":"arxiv","version":2},"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":"sha256:5346f14a3bef46d8e6bbe1097f7c76a97144aa224375e86f1fa9b9a9bc972699","target":"record","created_at":"2026-07-05T07:15:52Z","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":"f11529bdfbe044e27bd5076e6e64fd343335dfb046d57d7aa0ec9f9d21f0b8ce","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":"2023-02-06T17:11:26Z","title_canon_sha256":"6b9d6cbb695601fffed9acd2c58471f9049697be771ff587eadc2e2a5420562d"},"schema_version":"1.0","source":{"id":"2302.02937","kind":"arxiv","version":2}},"canonical_sha256":"61752c67b2414c8649317eb898327ba2f4f3191f23a3b616c76e9c120c729770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61752c67b2414c8649317eb898327ba2f4f3191f23a3b616c76e9c120c729770","first_computed_at":"2026-07-05T07:15:52.153423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:15:52.153423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3RJzBe6lxzHGT2B8+FAAw9V1TyIEgar1Ayl5jL/O1dLS0q75RQpXTeHYmofQbyHpzNVjfZ4nfZmvf1SP3SHwAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:15:52.153911Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.02937","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5346f14a3bef46d8e6bbe1097f7c76a97144aa224375e86f1fa9b9a9bc972699","sha256:c2ec2a98959ba080b3cf189f2e4140c6f2259ce9394583f9fff27c19b0ea0084"],"state_sha256":"402f459438f5e7618f878fcf501e97051b266c2c8c971c928847264d50c200e6"}