{"paper":{"title":"Branching under First-Passage Resetting","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"Stochastic timing fluctuations in first-passage triggered replication enhance population growth for fixed offspring number and mean time.","cross_cats":["cond-mat.stat-mech","math.PR","physics.bio-ph"],"primary_cat":"q-bio.PE","authors_text":"Aanjaneya Kumar, James Holehouse","submitted_at":"2026-05-15T23:10:35Z","abstract_excerpt":"Many biological processes, from cell division to viral lysis, are triggered when an internal stochastic variable reaches a threshold. Here we introduce Branching under First-Passage Resetting, a general framework in which replication events arise endogenously from first-passage dynamics rather than from externally imposed lifetime clocks. We show that the resulting population dynamics obey an exact renewal equation linking single-trajectory first-passage statistics to the population growth rate. This mapping shows that, for fixed offspring number and fixed mean replication time, stochastic tim"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"for fixed offspring number and fixed mean replication time, stochastic timing fluctuations necessarily enhance growth relative to a deterministic clock. When offspring yield depends on the first-passage time, fluctuations have non-trivial effects and expose a fundamental yield-delay trade-off.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The population dynamics obey an exact renewal equation linking single-trajectory first-passage statistics to the population growth rate (abstract, paragraph 2), which presupposes that first-passage processes across independent lineages are statistically identical and that the branching occurs precisely at the first-passage event.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"New framework links first-passage timing statistics to branching population growth via renewal equations, showing fluctuations enhance growth for fixed offspring and mean time while exposing optimization trade-offs, with bacteriophage lysis application matching empirical data.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Stochastic timing fluctuations in first-passage triggered replication enhance population growth for fixed offspring number and mean time.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"76cdecfd611a12d616edc602d7f76fcfd858dca15e95d2425539eb94b74cdfb2"},"source":{"id":"2605.16693","kind":"arxiv","version":1},"verdict":{"id":"8028c962-b748-48d0-a34d-3b75de93bbf0","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T20:49:24.835833Z","strongest_claim":"for fixed offspring number and fixed mean replication time, stochastic timing fluctuations necessarily enhance growth relative to a deterministic clock. When offspring yield depends on the first-passage time, fluctuations have non-trivial effects and expose a fundamental yield-delay trade-off.","one_line_summary":"New framework links first-passage timing statistics to branching population growth via renewal equations, showing fluctuations enhance growth for fixed offspring and mean time while exposing optimization trade-offs, with bacteriophage lysis application matching empirical data.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The population dynamics obey an exact renewal equation linking single-trajectory first-passage statistics to the population growth rate (abstract, paragraph 2), which presupposes that first-passage processes across independent lineages are statistically identical and that the branching occurs precisely at the first-passage event.","pith_extraction_headline":"Stochastic timing fluctuations in first-passage triggered replication enhance population growth for fixed offspring number and mean time."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16693/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T21:01:43.189266Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T21:01:19.283784Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T19:01:56.372716Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T18:33:26.493721Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"5bc642cabc7bb6ad365e882776dc38e5dbfcfb84711ba292101b29f5c2f9ec17"},"references":{"count":59,"sample":[{"doi":"","year":null,"title":"H. W. Watson and G. Galton, On the probability of the extinction of families, The Journal of the Anthropological Institute of Great Britain and Ireland4, 138 (1875)","work_id":"d9015e76-d967-475d-8524-b24e99d77721","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1948,"title":"R. Bellman and T. E. Harris, On the theory of age- dependent stochastic branching processes, Proceedings of the National Academy of Sciences34, 601 (1948)","work_id":"3474f0c2-e01a-4cfb-a2ad-1a1fb81037b1","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1948,"title":"T. E. Harris, Branching processes, The Annals of Math- ematical Statistics , 474 (1948)","work_id":"07efd609-a897-49a9-805a-088360083df5","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1963,"title":"T. E. Harriset al.,The theory of branching processes, Vol. 6 (Springer Berlin, 1963)","work_id":"9ec7a2b3-b5f4-4a60-a246-ca83c6a523ac","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"S.AsmussenandH.Hering,Branchingprocesses, (1983)","work_id":"3e573ce2-bf58-424e-8e8a-10ea5d88896a","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":59,"snapshot_sha256":"a023c5d0fdcf2111207a83bf7106bfa5d0b9c6c8c26c42ab7caec4ca909f013c","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"3dae29a2e4de0c89aedcf8de5523cec003a2e1cbaaaa910471f30d8592247d2d"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}