{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IRV72LDG7ASEFKZPA6JNY2PJ7H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"69f2db088c3dac6e2737aaaa7f77a54edbb337ba11152e782d9fc937e1ac737f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-10T17:07:51Z","title_canon_sha256":"d5ce5fac61d3c736b537c8b7b5f75349e657abd117bc567065131f51884d9c8d"},"schema_version":"1.0","source":{"id":"1412.3371","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3371","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3371v3","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3371","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"IRV72LDG7ASE","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IRV72LDG7ASEFKZP","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IRV72LDG","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:0ab3f1d245a3ac47bc7b5354799477e8f88f9c7d7313e5915f36d6ffb51cae75","target":"graph","created_at":"2026-05-18T01:18:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper investigates a reaction-advection-diffusion system modeling interspecific competition between two species over bounded domains. The kinetic terms are assumed to satisfy the Beddington-DeAngelis functional responses. We consider the situation that first species disperse by a combination of random walk and directed movement along the population density of the second species which disperse randomly within the habitat. For multi-dimensional bounded domains, we prove the global existence and boundedness of time-dependent solutions. For one-dimensional finite domains, we study the effect ","authors_text":"Ling Jin, Qi Wang, Zengyan Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-10T17:07:51Z","title":"Qualitative studies of advective competition system with Beddington-DeAngelis functional response"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3371","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c934a6b36e0535875f8b0779d724e9a610beb7b9562ef5a849a08efbf4ec578c","target":"record","created_at":"2026-05-18T01:18:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"69f2db088c3dac6e2737aaaa7f77a54edbb337ba11152e782d9fc937e1ac737f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-10T17:07:51Z","title_canon_sha256":"d5ce5fac61d3c736b537c8b7b5f75349e657abd117bc567065131f51884d9c8d"},"schema_version":"1.0","source":{"id":"1412.3371","kind":"arxiv","version":3}},"canonical_sha256":"446bfd2c66f82442ab2f0792dc69e9f9e2a9be32a15e94f83d9c86a417055a5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"446bfd2c66f82442ab2f0792dc69e9f9e2a9be32a15e94f83d9c86a417055a5d","first_computed_at":"2026-05-18T01:18:14.846275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:14.846275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVLANUg5pwuNwgC7BccMagWksaWLxyIXzjAJWCkYyuZn//bDfWmBe110Rgk2cN4RqrH761yhxF4Snxw3Qn7rCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:14.846858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3371","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c934a6b36e0535875f8b0779d724e9a610beb7b9562ef5a849a08efbf4ec578c","sha256:0ab3f1d245a3ac47bc7b5354799477e8f88f9c7d7313e5915f36d6ffb51cae75"],"state_sha256":"b513298c84c38f504135f99978b85cf364052e2caf24389b3ce82984907fbde4"}