{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BSZPN67P2WMGNQOHEN2ALZVSRL","short_pith_number":"pith:BSZPN67P","schema_version":"1.0","canonical_sha256":"0cb2f6fbefd59866c1c7237405e6b28acc0aa0ff6bd508d8c48f2b9e4760a980","source":{"kind":"arxiv","id":"1508.06246","version":2},"attestation_state":"computed","paper":{"title":"Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lei Wei, Ling Zhou, Yihong Du","submitted_at":"2015-08-25T19:05:53Z","abstract_excerpt":"We investigate the influence of a shifting environment on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When the environment is homogeneous and favourable, this model was first studied in Du and Lin \\cite{DL}, where a spreading-vanishing dichotomy was established for the long-time dynamics of the species, and when spreading happens, it was shown that the species invades the new territory at some uniquely determined asymptotic speed $c_0>0$. Here we consider the situation that part of such an environment becomes unfavourable,"},"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":"1508.06246","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-25T19:05:53Z","cross_cats_sorted":[],"title_canon_sha256":"d401f4fe4ee30af4755217865482951bcb1f045eff643f1e3c15284f333fa457","abstract_canon_sha256":"cf2625c83f629fd2de697335e0869882852f6512a848f3161e980e1816ca53e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:43.334110Z","signature_b64":"u3+C1WYDNSFwOc6VwFvbYeMz2KwwL/xd7mtgTPPyP2wbLLpKxmQlASWitoGwemWfClyUMevTOHwnUcpob4kZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cb2f6fbefd59866c1c7237405e6b28acc0aa0ff6bd508d8c48f2b9e4760a980","last_reissued_at":"2026-05-18T01:34:43.333333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:43.333333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lei Wei, Ling Zhou, Yihong Du","submitted_at":"2015-08-25T19:05:53Z","abstract_excerpt":"We investigate the influence of a shifting environment on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When the environment is homogeneous and favourable, this model was first studied in Du and Lin \\cite{DL}, where a spreading-vanishing dichotomy was established for the long-time dynamics of the species, and when spreading happens, it was shown that the species invades the new territory at some uniquely determined asymptotic speed $c_0>0$. Here we consider the situation that part of such an environment becomes unfavourable,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06246","kind":"arxiv","version":2},"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":"1508.06246","created_at":"2026-05-18T01:34:43.333477+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06246v2","created_at":"2026-05-18T01:34:43.333477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06246","created_at":"2026-05-18T01:34:43.333477+00:00"},{"alias_kind":"pith_short_12","alias_value":"BSZPN67P2WMG","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BSZPN67P2WMGNQOH","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BSZPN67P","created_at":"2026-05-18T12:29:14.074870+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/BSZPN67P2WMGNQOHEN2ALZVSRL","json":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL.json","graph_json":"https://pith.science/api/pith-number/BSZPN67P2WMGNQOHEN2ALZVSRL/graph.json","events_json":"https://pith.science/api/pith-number/BSZPN67P2WMGNQOHEN2ALZVSRL/events.json","paper":"https://pith.science/paper/BSZPN67P"},"agent_actions":{"view_html":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL","download_json":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL.json","view_paper":"https://pith.science/paper/BSZPN67P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06246&json=true","fetch_graph":"https://pith.science/api/pith-number/BSZPN67P2WMGNQOHEN2ALZVSRL/graph.json","fetch_events":"https://pith.science/api/pith-number/BSZPN67P2WMGNQOHEN2ALZVSRL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL/action/storage_attestation","attest_author":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL/action/author_attestation","sign_citation":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL/action/citation_signature","submit_replication":"https://pith.science/pith/BSZPN67P2WMGNQOHEN2ALZVSRL/action/replication_record"}},"created_at":"2026-05-18T01:34:43.333477+00:00","updated_at":"2026-05-18T01:34:43.333477+00:00"}