{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:TEFL7YBIM46RPEAU3H5VGUVKU5","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":"61a6f383f9ae8bb7eeb6dd502a6239d5980978d56c8ad1e238e1108b8aeb2666","cross_cats_sorted":["math.AP","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2021-10-23T23:41:07Z","title_canon_sha256":"9a1729af9c1d777aeb89caf8152ef1dd57ea750871be6730060c1828b6530415"},"schema_version":"1.0","source":{"id":"2110.12317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.12317","created_at":"2026-07-05T03:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"2110.12317v1","created_at":"2026-07-05T03:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.12317","created_at":"2026-07-05T03:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"TEFL7YBIM46R","created_at":"2026-07-05T03:25:03Z"},{"alias_kind":"pith_short_16","alias_value":"TEFL7YBIM46RPEAU","created_at":"2026-07-05T03:25:03Z"},{"alias_kind":"pith_short_8","alias_value":"TEFL7YBI","created_at":"2026-07-05T03:25:03Z"}],"graph_snapshots":[{"event_id":"sha256:a27ed5d65fb191cb89b94093669ef51a978c85909bfa8ad3213d52b2e1bf3a5e","target":"graph","created_at":"2026-07-05T03:25:03Z","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/2110.12317/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction-diffusion type with delay and which are associated with variable coefficients. This study considers a most generalized form of nonlinear equations of reaction-diffusion type with delay and which are nonlinear and associated with variable coefficients. A novel technique is used in this study to obtain the exact solutions which are new and are of the form of traveling-wave solutions. Arbitrary functions are present in the solutions and they also contain free parameters, which m","authors_text":"M.O. Aibinu, S. C. Thakur, S. Moyo","cross_cats":["math.AP","math.FA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2021-10-23T23:41:07Z","title":"Exact solutions of nonlinear delay reaction-diffusion equations with variable coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.12317","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":"sha256:34e92a819f90ae98b3a11aab69a65641f6d491af1b67e174fab706fb214212fc","target":"record","created_at":"2026-07-05T03:25:03Z","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":"61a6f383f9ae8bb7eeb6dd502a6239d5980978d56c8ad1e238e1108b8aeb2666","cross_cats_sorted":["math.AP","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2021-10-23T23:41:07Z","title_canon_sha256":"9a1729af9c1d777aeb89caf8152ef1dd57ea750871be6730060c1828b6530415"},"schema_version":"1.0","source":{"id":"2110.12317","kind":"arxiv","version":1}},"canonical_sha256":"990abfe028673d179014d9fb5352aaa74d1c0b68abfaa59c18cdd62da88aa85e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"990abfe028673d179014d9fb5352aaa74d1c0b68abfaa59c18cdd62da88aa85e","first_computed_at":"2026-07-05T03:25:03.078789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:25:03.078789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LPM30jWnc4jnL2Y17DUMvhvJfjbCEAW00oRlO6hBeiK5tIg/2c80qkyeyRr3el9gSZ20DPxuJBOPXXBQA3MYDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:25:03.079193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.12317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34e92a819f90ae98b3a11aab69a65641f6d491af1b67e174fab706fb214212fc","sha256:a27ed5d65fb191cb89b94093669ef51a978c85909bfa8ad3213d52b2e1bf3a5e"],"state_sha256":"32bf918dd081bc4b050b7c422c6a327b5c3e122c3caa0fcd4d2dd23212e21367"}