{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:GFPOR4OKNSQSWMTTECUMPEE6XM","short_pith_number":"pith:GFPOR4OK","schema_version":"1.0","canonical_sha256":"315ee8f1ca6ca12b327320a8c7909ebb3c5a73bf64b3e455a2f9ac14fcadef3c","source":{"kind":"arxiv","id":"2112.00371","version":1},"attestation_state":"computed","paper":{"title":"A multi-stage model of cell proliferation and death: tracking cell divisions with Erlang distributions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.CB","authors_text":"Carmen Molina-Par\\'is, Giulia Belluccini, Grant Lythe, Mart\\'in L\\'opez-Garc\\'ia","submitted_at":"2021-12-01T09:38:03Z","abstract_excerpt":"Lymphocyte populations, stimulated in vitro or in vivo, grow as cells divide. Stochastic models are appropriate because some cells undergo multiple rounds of division, some die, and others of the same type in the same conditions do not divide at all. If individual cells behave independently, each can be imagined as sampling from a probability density of times to division. The most convenient choice of density in mathematical and computational work, the exponential density, overestimates the probability of short division times. We consider a multi-stage model that produces an Erlang distributio"},"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":"2112.00371","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.CB","submitted_at":"2021-12-01T09:38:03Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"8f924546e13c2bc341932c1f26ed92e2b432a059a62495d504edeeedeb892459","abstract_canon_sha256":"9d6047f17b58fbe3197e041f72e99559399d652245a3a5c863e79d7c18c8429e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:36:45.663248Z","signature_b64":"KavaU7i7ZLxM9d3DzsGr3tje7GB+V5wEsCfXxwZBMOV2ZtHPg0CdqlTLBGukqavXhAlrWt2Vo5jXeEJvNBzJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"315ee8f1ca6ca12b327320a8c7909ebb3c5a73bf64b3e455a2f9ac14fcadef3c","last_reissued_at":"2026-07-05T03:36:45.662752Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:36:45.662752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A multi-stage model of cell proliferation and death: tracking cell divisions with Erlang distributions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.CB","authors_text":"Carmen Molina-Par\\'is, Giulia Belluccini, Grant Lythe, Mart\\'in L\\'opez-Garc\\'ia","submitted_at":"2021-12-01T09:38:03Z","abstract_excerpt":"Lymphocyte populations, stimulated in vitro or in vivo, grow as cells divide. Stochastic models are appropriate because some cells undergo multiple rounds of division, some die, and others of the same type in the same conditions do not divide at all. If individual cells behave independently, each can be imagined as sampling from a probability density of times to division. The most convenient choice of density in mathematical and computational work, the exponential density, overestimates the probability of short division times. We consider a multi-stage model that produces an Erlang distributio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00371","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.00371/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2112.00371","created_at":"2026-07-05T03:36:45.662812+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.00371v1","created_at":"2026-07-05T03:36:45.662812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00371","created_at":"2026-07-05T03:36:45.662812+00:00"},{"alias_kind":"pith_short_12","alias_value":"GFPOR4OKNSQS","created_at":"2026-07-05T03:36:45.662812+00:00"},{"alias_kind":"pith_short_16","alias_value":"GFPOR4OKNSQSWMTT","created_at":"2026-07-05T03:36:45.662812+00:00"},{"alias_kind":"pith_short_8","alias_value":"GFPOR4OK","created_at":"2026-07-05T03:36:45.662812+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/GFPOR4OKNSQSWMTTECUMPEE6XM","json":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM.json","graph_json":"https://pith.science/api/pith-number/GFPOR4OKNSQSWMTTECUMPEE6XM/graph.json","events_json":"https://pith.science/api/pith-number/GFPOR4OKNSQSWMTTECUMPEE6XM/events.json","paper":"https://pith.science/paper/GFPOR4OK"},"agent_actions":{"view_html":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM","download_json":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM.json","view_paper":"https://pith.science/paper/GFPOR4OK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.00371&json=true","fetch_graph":"https://pith.science/api/pith-number/GFPOR4OKNSQSWMTTECUMPEE6XM/graph.json","fetch_events":"https://pith.science/api/pith-number/GFPOR4OKNSQSWMTTECUMPEE6XM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM/action/storage_attestation","attest_author":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM/action/author_attestation","sign_citation":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM/action/citation_signature","submit_replication":"https://pith.science/pith/GFPOR4OKNSQSWMTTECUMPEE6XM/action/replication_record"}},"created_at":"2026-07-05T03:36:45.662812+00:00","updated_at":"2026-07-05T03:36:45.662812+00:00"}