{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VFEDZZRXX5S7TC3F5APOIJL5PE","merge_version":"pith-open-graph-merge-v1","event_count":6,"valid_event_count":6,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd3b6f80ee60e20d577212759194a84f4d3483f153b6bb9f1678e2d312904543","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2026-08-04T09:15:46Z","title_canon_sha256":"1d3312e135658eec32904ee3f4bfe74cd43e310e449bdc278c8dcdc025f4bc39"},"schema_version":"1.0","source":{"id":"2608.03364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.03364","created_at":"2026-08-05T01:35:37Z"},{"alias_kind":"arxiv_version","alias_value":"2608.03364v1","created_at":"2026-08-05T01:35:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.03364","created_at":"2026-08-05T01:35:37Z"},{"alias_kind":"pith_short_12","alias_value":"VFEDZZRXX5S7","created_at":"2026-08-05T01:35:37Z"},{"alias_kind":"pith_short_16","alias_value":"VFEDZZRXX5S7TC3F","created_at":"2026-08-05T01:35:37Z"},{"alias_kind":"pith_short_8","alias_value":"VFEDZZRX","created_at":"2026-08-05T01:35:37Z"}],"graph_snapshots":[{"event_id":"sha256:d023be7f1fc350f2ab8f2563229e0c4fac4f6e52a7f3e746035d6a924c902bdf","target":"graph","created_at":"2026-08-05T01:35:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.03364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Environmental DNA (eDNA) has emerged as a novel tool for quantifying the seasonal abundance of aquatic species in water bodies; however, its mathematical modeling is still at a germinating stage because of its mechanistic uncertainties. We propose a first-step mathematical and computational framework for the eDNA dynamics of migratory fish based on a novel stochastic partial differential equation model with a delayed source input. The model governs spatiotemporal eDNA concentration in rivers where the source comes from a stochastic differential equation for the migration dynamics of the fish. ","authors_text":"Hidekazu Yoshioka","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2026-08-04T09:15:46Z","title":"Stochastic partial differential equation model for environmental DNA dynamics in river environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.03364","kind":"arxiv","version":1},"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:bc071cda35ce53c5b8f43a9998a6eb914f10c40054f9be116cf73c6dc2f62aad","target":"record","created_at":"2026-08-05T01:35:37Z","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":"cd3b6f80ee60e20d577212759194a84f4d3483f153b6bb9f1678e2d312904543","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2026-08-04T09:15:46Z","title_canon_sha256":"1d3312e135658eec32904ee3f4bfe74cd43e310e449bdc278c8dcdc025f4bc39"},"schema_version":"1.0","source":{"id":"2608.03364","kind":"arxiv","version":1}},"canonical_sha256":"a9483ce637bf65f98b65e81ee4257d792d6f1e950933db1f4b7aeadb95c9fefd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9483ce637bf65f98b65e81ee4257d792d6f1e950933db1f4b7aeadb95c9fefd","first_computed_at":"2026-08-05T01:35:37.292940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-05T01:35:37.292940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a5uxy3rX/z2J1iCuJ4mylxEik+istnUSsieP6owffqKIRw9xJ4L9stRMdAYKvwaE6WELt6u43P+mxmVMsx/QAw==","signature_status":"signed_v1","signed_at":"2026-08-05T01:35:37.294490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.03364","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:07af41f6636a2cd93fb211f7b78dc15924fe072ae52beecf517a63c1a216aa73","sha256:13559a94dac4134a1dfa05b89c38fca117109439d588692d1ba85e3a935e97d6","sha256:ad1c802a523af4c57aa924b555d29c42ab2ed5d1122cf2e078305cc568d8e50e","sha256:b68c33ebdf23f215cc5882fa50fc07041290076eb1cb94c7f394a4c1ba41d7fa"]}],"invalid_events":[],"applied_event_ids":["sha256:bc071cda35ce53c5b8f43a9998a6eb914f10c40054f9be116cf73c6dc2f62aad","sha256:d023be7f1fc350f2ab8f2563229e0c4fac4f6e52a7f3e746035d6a924c902bdf"],"state_sha256":"e56e607ae0bedbe6936b8dbe9336ef938d34ce93307e836819cc72d4ae479644"}