{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7XRMTGLF3YRQQUPAWNOLRC2MDP","short_pith_number":"pith:7XRMTGLF","schema_version":"1.0","canonical_sha256":"fde2c99965de230851e0b35cb88b4c1bc02af234235361f1453019c2c3d32247","source":{"kind":"arxiv","id":"1407.0192","version":1},"attestation_state":"computed","paper":{"title":"Positive solutions to logistic type equations with harvesting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hossein Tehrani, Pedro M. Gir\\~ao","submitted_at":"2014-07-01T11:27:42Z","abstract_excerpt":"We use comparison principles, variational arguments and a truncation method to obtain positive solutions to logistic type equations with harvesting both in $\\mathbb{R}^N$ and in a bounded domain $\\Omega\\subset\\mathbb{R}^N$, with $N\\geq 3$, when the carrying capacity of the environment is not constant. By relaxing the growth assumption on the coefficients of the differential equation we derive a new equation which is easily solved. The solution of this new equation is then used to produce a positive solution of our original problem."},"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":"1407.0192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-01T11:27:42Z","cross_cats_sorted":[],"title_canon_sha256":"70f11b323f8f313b1a65f8e4dbee200457dc03061fc51357c1409a64c4973808","abstract_canon_sha256":"ca42d3383daeccea583cef9dcdfc22715fb41b9e5ef0f1e32a28947c7be60d7e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:34.868640Z","signature_b64":"eaupuYWnldP8H+tAJkmzqVUHBPkmR94ciuLxY/xS2tMeNlKNuSqjtBExPeMcCRImi76hC+ubVNf4osKGgAEnAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fde2c99965de230851e0b35cb88b4c1bc02af234235361f1453019c2c3d32247","last_reissued_at":"2026-05-18T02:48:34.867806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:34.867806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positive solutions to logistic type equations with harvesting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hossein Tehrani, Pedro M. Gir\\~ao","submitted_at":"2014-07-01T11:27:42Z","abstract_excerpt":"We use comparison principles, variational arguments and a truncation method to obtain positive solutions to logistic type equations with harvesting both in $\\mathbb{R}^N$ and in a bounded domain $\\Omega\\subset\\mathbb{R}^N$, with $N\\geq 3$, when the carrying capacity of the environment is not constant. By relaxing the growth assumption on the coefficients of the differential equation we derive a new equation which is easily solved. The solution of this new equation is then used to produce a positive solution of our original problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0192","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":"1407.0192","created_at":"2026-05-18T02:48:34.867951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0192v1","created_at":"2026-05-18T02:48:34.867951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0192","created_at":"2026-05-18T02:48:34.867951+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XRMTGLF3YRQ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XRMTGLF3YRQQUPA","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XRMTGLF","created_at":"2026-05-18T12:28:19.803747+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/7XRMTGLF3YRQQUPAWNOLRC2MDP","json":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP.json","graph_json":"https://pith.science/api/pith-number/7XRMTGLF3YRQQUPAWNOLRC2MDP/graph.json","events_json":"https://pith.science/api/pith-number/7XRMTGLF3YRQQUPAWNOLRC2MDP/events.json","paper":"https://pith.science/paper/7XRMTGLF"},"agent_actions":{"view_html":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP","download_json":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP.json","view_paper":"https://pith.science/paper/7XRMTGLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0192&json=true","fetch_graph":"https://pith.science/api/pith-number/7XRMTGLF3YRQQUPAWNOLRC2MDP/graph.json","fetch_events":"https://pith.science/api/pith-number/7XRMTGLF3YRQQUPAWNOLRC2MDP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP/action/storage_attestation","attest_author":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP/action/author_attestation","sign_citation":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP/action/citation_signature","submit_replication":"https://pith.science/pith/7XRMTGLF3YRQQUPAWNOLRC2MDP/action/replication_record"}},"created_at":"2026-05-18T02:48:34.867951+00:00","updated_at":"2026-05-18T02:48:34.867951+00:00"}