{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MQLUMH2Y446WETBIIZ7DFO7MK5","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":"320e2f87e4b1fa0b2f3bf46f54289819d82fb0138b092b7a60d51639aceab3e6","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-29T12:46:43Z","title_canon_sha256":"f0a5b7b861e2498e96d03096742cbf37cda1bd6efc813d0d46266cd7baec1a7c"},"schema_version":"1.0","source":{"id":"2606.30235","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30235","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30235v1","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30235","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"MQLUMH2Y446W","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"MQLUMH2Y446WETBI","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"MQLUMH2Y","created_at":"2026-06-30T02:17:55Z"}],"graph_snapshots":[{"event_id":"sha256:9e82a877f24ebce1add4921581d7414f9cb49601c3ea3aa6a2892392b96e6aa4","target":"graph","created_at":"2026-06-30T02:17:55Z","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/2606.30235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a population dynamics model in which each diffusing particle that hits a catalytic surface can split into two independent copies (clones). The particles of such a growing-in-size population search in parallel for a hidden partially reactive target to trigger a reaction event (e.g., a viral attack). We investigate the statistics of the fastest first-reaction time (FRT) among all the particles. We establish a nonlinear integral equation for the survival probability and then analyze the associated probability density of the FRT and its moments. Lower and upper bounds on the mean FRT a","authors_text":"Denis S. Grebenkov","cross_cats":["physics.chem-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-29T12:46:43Z","title":"Surviving the Attack of the Clones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30235","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:bb51ad847b2348dc903e4e3cc69a88f36bd6dc8871b8a7170936acd30afda229","target":"record","created_at":"2026-06-30T02:17:55Z","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":"320e2f87e4b1fa0b2f3bf46f54289819d82fb0138b092b7a60d51639aceab3e6","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-29T12:46:43Z","title_canon_sha256":"f0a5b7b861e2498e96d03096742cbf37cda1bd6efc813d0d46266cd7baec1a7c"},"schema_version":"1.0","source":{"id":"2606.30235","kind":"arxiv","version":1}},"canonical_sha256":"6417461f58e73d624c28467e32bbec574c4b70681aa37c1c35f29d0c396e9d85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6417461f58e73d624c28467e32bbec574c4b70681aa37c1c35f29d0c396e9d85","first_computed_at":"2026-06-30T02:17:55.541109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:55.541109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/P6FcHpLTZnuyWQBOSeePPiaFLk2iSJUIgCZi7mrQnTjH0xzBVt6W5XwxKeLiZ7B1hsmHo7PTsS+1YcYmbpCg==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:55.541819Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30235","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb51ad847b2348dc903e4e3cc69a88f36bd6dc8871b8a7170936acd30afda229","sha256:9e82a877f24ebce1add4921581d7414f9cb49601c3ea3aa6a2892392b96e6aa4"],"state_sha256":"db91261acca78f03ec6c74facc4755bbee7067eab09d44c9b61b6ad184b36d38"}