{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TU5TYLSFR7Y4U4A3GTETT5AIHY","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":"3e6a361ada168c0c0262a878000da9ddb5d6af152472247f94ff28b0822992d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-31T21:07:47Z","title_canon_sha256":"d4baa499a0ab46e4f4a0b1d3601adc69dd3aeeccc1cc81b8bd7d40b1fa63bc97"},"schema_version":"1.0","source":{"id":"1509.00071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00071","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00071v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00071","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"TU5TYLSFR7Y4","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TU5TYLSFR7Y4U4A3","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TU5TYLSF","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d7f39797f0942132dc56c9fd423aff6742a6210274559d5d191df274e4df81e2","target":"graph","created_at":"2026-05-18T01:17:25Z","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":"Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads to the nonexistence of traveling waves solutions for systems of three competing species.","authors_text":"Chiun-Chuan Chen, Li-Chang Hung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-31T21:07:47Z","title":"A maximum principle for diffusive Lotka-Volterra systems of two competing species"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00071","kind":"arxiv","version":2},"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:fac0469d60ec2c340d7b9cb8635a26f1b3f7641d5cd65cb6bfc2e559799d207c","target":"record","created_at":"2026-05-18T01:17:25Z","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":"3e6a361ada168c0c0262a878000da9ddb5d6af152472247f94ff28b0822992d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-31T21:07:47Z","title_canon_sha256":"d4baa499a0ab46e4f4a0b1d3601adc69dd3aeeccc1cc81b8bd7d40b1fa63bc97"},"schema_version":"1.0","source":{"id":"1509.00071","kind":"arxiv","version":2}},"canonical_sha256":"9d3b3c2e458ff1ca701b34c939f4083e35018299b1832b4d1a0b108e22cb6209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d3b3c2e458ff1ca701b34c939f4083e35018299b1832b4d1a0b108e22cb6209","first_computed_at":"2026-05-18T01:17:25.406262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:25.406262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YAuLIKWxyrLJZeysu2SXmLKLvPZ5kmKGaSfPk0vLTwb8nIdk21yt6CBg8Hg9Nt/VLqglUYAh/MeBW9NweRAoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:25.406675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fac0469d60ec2c340d7b9cb8635a26f1b3f7641d5cd65cb6bfc2e559799d207c","sha256:d7f39797f0942132dc56c9fd423aff6742a6210274559d5d191df274e4df81e2"],"state_sha256":"c63eea09dcb31e9eee59c7292314da89ccf21757016b66a166fa7b910b1f8b50"}