{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LLFPGWAJGO4HHIMJ3J4LMNHMSX","short_pith_number":"pith:LLFPGWAJ","schema_version":"1.0","canonical_sha256":"5acaf3580933b873a189da78b634ec95d5815a2e6f748eaef3c2e9ab3f80d195","source":{"kind":"arxiv","id":"1111.6460","version":1},"attestation_state":"computed","paper":{"title":"Effect of population size in a Prey-Predator model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Claude Lobry (INRIA Sophia Antipolis), Fabien Campillo (INRIA Sophia Antipolis, MISTEA)","submitted_at":"2011-11-28T14:55:32Z","abstract_excerpt":"We consider a stochastic version of the basic predator-prey differential equation model. The model, which contains a parameter \\omega which represents the number of individuals for one unit of prey -- If x denotes the quantity of prey in the differential equation model x = 1 means that there are \\omega individuals in the discontinuous one -- is derived from the classical birth and death process. It is shown by the mean of simulations and explained by a mathematical analysis based on results in singular perturbation theory (the so called theory of Canards) that qualitative properties of the mod"},"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":"1111.6460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-28T14:55:32Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"d009d28fced607e23aee44e63f6a37d4189be391dd31f803b39e29884edc1699","abstract_canon_sha256":"9884675ef87ae1b8945d660945a32c8b215309a8cb0b74704d91943b9db48d5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:29.883754Z","signature_b64":"y5JtOrEvDjIw54xC/c4TF8mK15GekKDRTcraY/Hvd35Bk71vkDjTQzpH5loqWPNFPJ8pcz0kaM05jHrslb73Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5acaf3580933b873a189da78b634ec95d5815a2e6f748eaef3c2e9ab3f80d195","last_reissued_at":"2026-05-18T04:07:29.882901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:29.882901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of population size in a Prey-Predator model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Claude Lobry (INRIA Sophia Antipolis), Fabien Campillo (INRIA Sophia Antipolis, MISTEA)","submitted_at":"2011-11-28T14:55:32Z","abstract_excerpt":"We consider a stochastic version of the basic predator-prey differential equation model. The model, which contains a parameter \\omega which represents the number of individuals for one unit of prey -- If x denotes the quantity of prey in the differential equation model x = 1 means that there are \\omega individuals in the discontinuous one -- is derived from the classical birth and death process. It is shown by the mean of simulations and explained by a mathematical analysis based on results in singular perturbation theory (the so called theory of Canards) that qualitative properties of the mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6460","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":""},"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":"1111.6460","created_at":"2026-05-18T04:07:29.883002+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.6460v1","created_at":"2026-05-18T04:07:29.883002+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6460","created_at":"2026-05-18T04:07:29.883002+00:00"},{"alias_kind":"pith_short_12","alias_value":"LLFPGWAJGO4H","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LLFPGWAJGO4HHIMJ","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LLFPGWAJ","created_at":"2026-05-18T12:26:34.985390+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/LLFPGWAJGO4HHIMJ3J4LMNHMSX","json":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX.json","graph_json":"https://pith.science/api/pith-number/LLFPGWAJGO4HHIMJ3J4LMNHMSX/graph.json","events_json":"https://pith.science/api/pith-number/LLFPGWAJGO4HHIMJ3J4LMNHMSX/events.json","paper":"https://pith.science/paper/LLFPGWAJ"},"agent_actions":{"view_html":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX","download_json":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX.json","view_paper":"https://pith.science/paper/LLFPGWAJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.6460&json=true","fetch_graph":"https://pith.science/api/pith-number/LLFPGWAJGO4HHIMJ3J4LMNHMSX/graph.json","fetch_events":"https://pith.science/api/pith-number/LLFPGWAJGO4HHIMJ3J4LMNHMSX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX/action/storage_attestation","attest_author":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX/action/author_attestation","sign_citation":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX/action/citation_signature","submit_replication":"https://pith.science/pith/LLFPGWAJGO4HHIMJ3J4LMNHMSX/action/replication_record"}},"created_at":"2026-05-18T04:07:29.883002+00:00","updated_at":"2026-05-18T04:07:29.883002+00:00"}