{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BFODBAII4KRYGMCV6XSUGIASV2","short_pith_number":"pith:BFODBAII","schema_version":"1.0","canonical_sha256":"095c308108e2a3833055f5e5432012ae8f6f1a204795f066bdc5df45b94317e4","source":{"kind":"arxiv","id":"2606.26340","version":1},"attestation_state":"computed","paper":{"title":"An Investigation of Additional Food Models with Generalised Functional Response","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"James I. Lathrop, Kanishka Goyal, Rana D. Parshad, Saptarshi Biswas, Urvashi Verma","submitted_at":"2026-06-24T19:33:29Z","abstract_excerpt":"Additional food sources are often used to improve the effectiveness of predators in controlling pest populations. However, the non-symmetric structure of additional food predator-prey models can cause certain aspects of their dynamics challenging to analyze. In this work, we study a general class of additional food models and establish conditions under which the coexistence equilibrium is globally stable. We then focus on a Holling type IV functional response with AF and show the existence of a Bogdanov-Takens bifurcation of codimension 3. We also study these models through the lens of determi"},"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":"2606.26340","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.PE","submitted_at":"2026-06-24T19:33:29Z","cross_cats_sorted":[],"title_canon_sha256":"7999542f24d3464c5314b364890024277daed7815669872d787c39d3f619020f","abstract_canon_sha256":"e59efb730c8691a1eb456bde3e9a499ed2ad17fa5ac6e1f1cc9d9e70d394da33"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:37.245232Z","signature_b64":"krKTIn5f7+fTIwc+MZJIpkdxsOPgqPq1TTknV//muvtAyMm3FoR5Tp7e2erwjV5kIbwVKfu3D6rad2bxPBJoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"095c308108e2a3833055f5e5432012ae8f6f1a204795f066bdc5df45b94317e4","last_reissued_at":"2026-06-26T00:15:37.244793Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:37.244793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Investigation of Additional Food Models with Generalised Functional Response","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"James I. Lathrop, Kanishka Goyal, Rana D. Parshad, Saptarshi Biswas, Urvashi Verma","submitted_at":"2026-06-24T19:33:29Z","abstract_excerpt":"Additional food sources are often used to improve the effectiveness of predators in controlling pest populations. However, the non-symmetric structure of additional food predator-prey models can cause certain aspects of their dynamics challenging to analyze. In this work, we study a general class of additional food models and establish conditions under which the coexistence equilibrium is globally stable. We then focus on a Holling type IV functional response with AF and show the existence of a Bogdanov-Takens bifurcation of codimension 3. We also study these models through the lens of determi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26340","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/2606.26340/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":"2606.26340","created_at":"2026-06-26T00:15:37.244855+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.26340v1","created_at":"2026-06-26T00:15:37.244855+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26340","created_at":"2026-06-26T00:15:37.244855+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFODBAII4KRY","created_at":"2026-06-26T00:15:37.244855+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFODBAII4KRYGMCV","created_at":"2026-06-26T00:15:37.244855+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFODBAII","created_at":"2026-06-26T00:15:37.244855+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/BFODBAII4KRYGMCV6XSUGIASV2","json":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2.json","graph_json":"https://pith.science/api/pith-number/BFODBAII4KRYGMCV6XSUGIASV2/graph.json","events_json":"https://pith.science/api/pith-number/BFODBAII4KRYGMCV6XSUGIASV2/events.json","paper":"https://pith.science/paper/BFODBAII"},"agent_actions":{"view_html":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2","download_json":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2.json","view_paper":"https://pith.science/paper/BFODBAII","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.26340&json=true","fetch_graph":"https://pith.science/api/pith-number/BFODBAII4KRYGMCV6XSUGIASV2/graph.json","fetch_events":"https://pith.science/api/pith-number/BFODBAII4KRYGMCV6XSUGIASV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2/action/storage_attestation","attest_author":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2/action/author_attestation","sign_citation":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2/action/citation_signature","submit_replication":"https://pith.science/pith/BFODBAII4KRYGMCV6XSUGIASV2/action/replication_record"}},"created_at":"2026-06-26T00:15:37.244855+00:00","updated_at":"2026-06-26T00:15:37.244855+00:00"}