{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DOSFACAWNDDSTFR737THURT4FY","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":"5fc9aed45dc15faed148c8c420951790d351747a94c3317b9655a438920e00e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-08-02T12:44:23Z","title_canon_sha256":"ceb80958d71ab24ea5d2f78c9a612df975971d8bbbe81ed28ff13d315b1f7cb5"},"schema_version":"1.0","source":{"id":"0908.0129","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0129","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0129v1","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0129","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"DOSFACAWNDDS","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DOSFACAWNDDSTFR7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DOSFACAW","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:6363b39a7f3cc017c4e3fd8cb5a6278becc30701449a3fd341cb4dec677bb2d6","target":"graph","created_at":"2026-05-18T04:10:09Z","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":"A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalised version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.","authors_text":"Anne-Laure Basdevant (IMT), Clement Rau (IMT), James R. Norris (DPMMS), Philippe Laurencot (IMT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-08-02T12:44:23Z","title":"A stochastic min-driven coalescence process and its hydrodynamical limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0129","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:b1b99153f132005f41e96b4ceb844fcaa70038f1b094832ce51e016972d4408a","target":"record","created_at":"2026-05-18T04:10:09Z","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":"5fc9aed45dc15faed148c8c420951790d351747a94c3317b9655a438920e00e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-08-02T12:44:23Z","title_canon_sha256":"ceb80958d71ab24ea5d2f78c9a612df975971d8bbbe81ed28ff13d315b1f7cb5"},"schema_version":"1.0","source":{"id":"0908.0129","kind":"arxiv","version":1}},"canonical_sha256":"1ba450081668c729963fdfe67a467c2e07498736e8e2fef83ee4f89c3247ea4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ba450081668c729963fdfe67a467c2e07498736e8e2fef83ee4f89c3247ea4a","first_computed_at":"2026-05-18T04:10:09.243476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:09.243476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsIc/V5lO/nbE+6nouk1jekIkfXPy0wqReSumm3MtrooSxO/QawrWEl3N+8sDqt+iajz+1RIGd5nsjHmL/SsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:09.244311Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0129","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1b99153f132005f41e96b4ceb844fcaa70038f1b094832ce51e016972d4408a","sha256:6363b39a7f3cc017c4e3fd8cb5a6278becc30701449a3fd341cb4dec677bb2d6"],"state_sha256":"81e89234428e3f76ab19440bd6d2382c47ec81da7740c78fab81fb25868c47bd"}