{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QKY72ZB4U6EYRRIULZ6DAS4ETR","short_pith_number":"pith:QKY72ZB4","schema_version":"1.0","canonical_sha256":"82b1fd643ca78988c5145e7c304b849c4c14389efe3d3c8ba4f69e9df635fb21","source":{"kind":"arxiv","id":"1708.02789","version":2},"attestation_state":"computed","paper":{"title":"Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Eun-Jin Kim, Lucille-Marie Tenk\\`es, Rainer Hollerbach","submitted_at":"2017-08-09T11:28:06Z","abstract_excerpt":"A probabilistic description is essential for understanding growth processes far from equilibrium. In this paper, we compute time-dependent Probability Density Functions (PDFs) in order to investigate stochastic logistic and Gompertz models, which are two of the most popular growth models. We consider different types of short-correlated internal (multiplicative) and external (additive) stochastic noises and compare the time-dependent PDFs in the two models, elucidating the effects of the additive and multiplicative noises on the form of PDFs. We demonstrate an interesting transition from a unim"},"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":"1708.02789","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-08-09T11:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"d77438252869c863ee043803ebd964bc5de4a83901dff78f7a1b3894b374c742","abstract_canon_sha256":"34307de80e60df653e04dd0d49c4da11ed1850ef1b22d87cf0f4c8c475ba0d28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:35.227281Z","signature_b64":"QdkBw3UdbRf2A0Nc/K2NaaJxAcmH7g4VtEQWwJ2weEjfFi70AZmNHu7/PzWKjKogaUeMowaUreJaZYXxxt6ECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82b1fd643ca78988c5145e7c304b849c4c14389efe3d3c8ba4f69e9df635fb21","last_reissued_at":"2026-05-18T00:28:35.226462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:35.226462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time-dependent probability density functions and information geometry in stochastic logistic and Gompertz models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Eun-Jin Kim, Lucille-Marie Tenk\\`es, Rainer Hollerbach","submitted_at":"2017-08-09T11:28:06Z","abstract_excerpt":"A probabilistic description is essential for understanding growth processes far from equilibrium. In this paper, we compute time-dependent Probability Density Functions (PDFs) in order to investigate stochastic logistic and Gompertz models, which are two of the most popular growth models. We consider different types of short-correlated internal (multiplicative) and external (additive) stochastic noises and compare the time-dependent PDFs in the two models, elucidating the effects of the additive and multiplicative noises on the form of PDFs. We demonstrate an interesting transition from a unim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02789","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1708.02789","created_at":"2026-05-18T00:28:35.226610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.02789v2","created_at":"2026-05-18T00:28:35.226610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02789","created_at":"2026-05-18T00:28:35.226610+00:00"},{"alias_kind":"pith_short_12","alias_value":"QKY72ZB4U6EY","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QKY72ZB4U6EYRRIU","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QKY72ZB4","created_at":"2026-05-18T12:31:39.905425+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/QKY72ZB4U6EYRRIULZ6DAS4ETR","json":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR.json","graph_json":"https://pith.science/api/pith-number/QKY72ZB4U6EYRRIULZ6DAS4ETR/graph.json","events_json":"https://pith.science/api/pith-number/QKY72ZB4U6EYRRIULZ6DAS4ETR/events.json","paper":"https://pith.science/paper/QKY72ZB4"},"agent_actions":{"view_html":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR","download_json":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR.json","view_paper":"https://pith.science/paper/QKY72ZB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.02789&json=true","fetch_graph":"https://pith.science/api/pith-number/QKY72ZB4U6EYRRIULZ6DAS4ETR/graph.json","fetch_events":"https://pith.science/api/pith-number/QKY72ZB4U6EYRRIULZ6DAS4ETR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR/action/storage_attestation","attest_author":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR/action/author_attestation","sign_citation":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR/action/citation_signature","submit_replication":"https://pith.science/pith/QKY72ZB4U6EYRRIULZ6DAS4ETR/action/replication_record"}},"created_at":"2026-05-18T00:28:35.226610+00:00","updated_at":"2026-05-18T00:28:35.226610+00:00"}