{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LQVM25VC4AYEDCYIVRGER3B7JF","short_pith_number":"pith:LQVM25VC","schema_version":"1.0","canonical_sha256":"5c2acd76a2e030418b08ac4c48ec3f496a13cc151211b0ce48176da788411603","source":{"kind":"arxiv","id":"1302.5773","version":1},"attestation_state":"computed","paper":{"title":"Theoretical Study of Pest Control Using Stage Structured Natural Enemies with Maturation Delay: A Crop-Pest-Natural Enemy Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Joydip Dhar, Kunwer Singh Jatav","submitted_at":"2013-02-23T08:08:17Z","abstract_excerpt":"In the natural world, there are many insect species whose individual members have a life history that takes them through two stages, immature and mature. Moreover, the rates of survival, development, and reproduction almost always depend on age, size, or development stage. Keeping this in mind, in this paper, a three species crop-pest-natural enemy food chain model with two stages for natural enemies is investigated. Using characteristic equations, a set of sufficient conditions for local asymptotic stability of all the feasible equilibria is obtained. Moreover, using approach as in (Beretta a"},"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":"1302.5773","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-02-23T08:08:17Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"6ad813c041b5cba028f5687e35450474d98b8d216610cf4f1804739c75d9c5f3","abstract_canon_sha256":"c990ee30dbcc3ac9de60f8b89716d6cb408030f18eea2056f9e37cee3569897b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:43.908968Z","signature_b64":"Nd4HOhdaghvlqWCOBWgp4eh2hu0Mtof64C8Bd2+Fw4tZ3P4zQbNERepZhFZhbMprnltT+8MOxLoJut3MZ0icCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c2acd76a2e030418b08ac4c48ec3f496a13cc151211b0ce48176da788411603","last_reissued_at":"2026-05-18T03:32:43.908019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:43.908019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theoretical Study of Pest Control Using Stage Structured Natural Enemies with Maturation Delay: A Crop-Pest-Natural Enemy Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Joydip Dhar, Kunwer Singh Jatav","submitted_at":"2013-02-23T08:08:17Z","abstract_excerpt":"In the natural world, there are many insect species whose individual members have a life history that takes them through two stages, immature and mature. Moreover, the rates of survival, development, and reproduction almost always depend on age, size, or development stage. Keeping this in mind, in this paper, a three species crop-pest-natural enemy food chain model with two stages for natural enemies is investigated. Using characteristic equations, a set of sufficient conditions for local asymptotic stability of all the feasible equilibria is obtained. Moreover, using approach as in (Beretta a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5773","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":"1302.5773","created_at":"2026-05-18T03:32:43.908176+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.5773v1","created_at":"2026-05-18T03:32:43.908176+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5773","created_at":"2026-05-18T03:32:43.908176+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQVM25VC4AYE","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQVM25VC4AYEDCYI","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQVM25VC","created_at":"2026-05-18T12:27:51.066281+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/LQVM25VC4AYEDCYIVRGER3B7JF","json":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF.json","graph_json":"https://pith.science/api/pith-number/LQVM25VC4AYEDCYIVRGER3B7JF/graph.json","events_json":"https://pith.science/api/pith-number/LQVM25VC4AYEDCYIVRGER3B7JF/events.json","paper":"https://pith.science/paper/LQVM25VC"},"agent_actions":{"view_html":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF","download_json":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF.json","view_paper":"https://pith.science/paper/LQVM25VC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.5773&json=true","fetch_graph":"https://pith.science/api/pith-number/LQVM25VC4AYEDCYIVRGER3B7JF/graph.json","fetch_events":"https://pith.science/api/pith-number/LQVM25VC4AYEDCYIVRGER3B7JF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF/action/storage_attestation","attest_author":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF/action/author_attestation","sign_citation":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF/action/citation_signature","submit_replication":"https://pith.science/pith/LQVM25VC4AYEDCYIVRGER3B7JF/action/replication_record"}},"created_at":"2026-05-18T03:32:43.908176+00:00","updated_at":"2026-05-18T03:32:43.908176+00:00"}