{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:EVJSX72IWZDEZWOYMADZYCGUV7","short_pith_number":"pith:EVJSX72I","schema_version":"1.0","canonical_sha256":"25532bff48b6464cd9d860079c08d4afc4578aab92b553a825704c8c6e9488e4","source":{"kind":"arxiv","id":"1510.08524","version":1},"attestation_state":"computed","paper":{"title":"Modeling Boyciana-fish-human Interaction with Partial Differential Algebraic Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Haiyan Wang, Qingling Zhang, Yushan Jiang","submitted_at":"2015-10-28T23:48:04Z","abstract_excerpt":"With human social behaviors influence, some boyciana-fish reaction-diffusion system coupled with elliptic human distribution equation is considered. Firstly, under homogeneous Neumann boundary conditions and ratio-dependent functional response the system can be described as a nonlinear partial differential algebraic equations (PDAEs) and the corresponding linearized system is discussed with singular system theorem. In what follows we discuss the elliptic subsystem and show that the three kinds of nonnegative are corresponded to three different human interference conditions: human free, overdev"},"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":"1510.08524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-28T23:48:04Z","cross_cats_sorted":[],"title_canon_sha256":"6f8e5c0b34747874b1375708827e7de57888251326121c2add7edb6b5efd9d21","abstract_canon_sha256":"b000894ba85731e9db822b64d884de67ad60b23b7ae8f5f3ef65ce78e6f0dd91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:28.693157Z","signature_b64":"Zy99IdKvxt085EjKAuPt0mxlzaE1kTMy7RW6Ta3DFUXTxy+uqynbgJElmnpM8dHwxdR9S11tRLg9WO7DeUnVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25532bff48b6464cd9d860079c08d4afc4578aab92b553a825704c8c6e9488e4","last_reissued_at":"2026-05-18T01:28:28.692589Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:28.692589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modeling Boyciana-fish-human Interaction with Partial Differential Algebraic Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Haiyan Wang, Qingling Zhang, Yushan Jiang","submitted_at":"2015-10-28T23:48:04Z","abstract_excerpt":"With human social behaviors influence, some boyciana-fish reaction-diffusion system coupled with elliptic human distribution equation is considered. Firstly, under homogeneous Neumann boundary conditions and ratio-dependent functional response the system can be described as a nonlinear partial differential algebraic equations (PDAEs) and the corresponding linearized system is discussed with singular system theorem. In what follows we discuss the elliptic subsystem and show that the three kinds of nonnegative are corresponded to three different human interference conditions: human free, overdev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08524","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":"1510.08524","created_at":"2026-05-18T01:28:28.692675+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.08524v1","created_at":"2026-05-18T01:28:28.692675+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08524","created_at":"2026-05-18T01:28:28.692675+00:00"},{"alias_kind":"pith_short_12","alias_value":"EVJSX72IWZDE","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"EVJSX72IWZDEZWOY","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"EVJSX72I","created_at":"2026-05-18T12:29:19.899920+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/EVJSX72IWZDEZWOYMADZYCGUV7","json":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7.json","graph_json":"https://pith.science/api/pith-number/EVJSX72IWZDEZWOYMADZYCGUV7/graph.json","events_json":"https://pith.science/api/pith-number/EVJSX72IWZDEZWOYMADZYCGUV7/events.json","paper":"https://pith.science/paper/EVJSX72I"},"agent_actions":{"view_html":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7","download_json":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7.json","view_paper":"https://pith.science/paper/EVJSX72I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.08524&json=true","fetch_graph":"https://pith.science/api/pith-number/EVJSX72IWZDEZWOYMADZYCGUV7/graph.json","fetch_events":"https://pith.science/api/pith-number/EVJSX72IWZDEZWOYMADZYCGUV7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7/action/storage_attestation","attest_author":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7/action/author_attestation","sign_citation":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7/action/citation_signature","submit_replication":"https://pith.science/pith/EVJSX72IWZDEZWOYMADZYCGUV7/action/replication_record"}},"created_at":"2026-05-18T01:28:28.692675+00:00","updated_at":"2026-05-18T01:28:28.692675+00:00"}