{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6AL5TOK64PHPKEXLAIX7LZR46S","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":"73be9509db560f73b20025d63a5324a5485bb6bda323f193da8447b53348f7d1","cross_cats_sorted":["cs.NE","math.AP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-09-17T03:51:07Z","title_canon_sha256":"65ec06476dc63121b5dce3d15ad9d281a4557fc9a95742777ea22ee3b88af3c7"},"schema_version":"1.0","source":{"id":"1109.3745","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3745","created_at":"2026-05-18T02:42:15Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3745v3","created_at":"2026-05-18T02:42:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3745","created_at":"2026-05-18T02:42:15Z"},{"alias_kind":"pith_short_12","alias_value":"6AL5TOK64PHP","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6AL5TOK64PHPKEXL","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6AL5TOK6","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:33e766f89a6df6eb40e44d3291adb3857ca67d097990dd0f6b9c8bb1eb6255db","target":"graph","created_at":"2026-05-18T02:42:15Z","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":"We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection-dispersion equations. This PDE (with dispersion coefficient unity) was discovered in a genetic programming search for equations sharing the KdV solitary wave solution. It provides a bridge between non-linear advection, diffusion and dispersion. Special cases include the mKdV and linear dispersive equations. We identify two conservation laws, though i","authors_text":"Abhijit Sen, Anantanarayanan Thyagaraja, Dilip P. Ahalpara, Govind S. Krishnaswami","cross_cats":["cs.NE","math.AP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-09-17T03:51:07Z","title":"A KdV-like advection-dispersion equation with some remarkable properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3745","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:ac5bc4740080e53c700140aa9719da5c0364f8b52b8816ebb1b2135393107396","target":"record","created_at":"2026-05-18T02:42:15Z","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":"73be9509db560f73b20025d63a5324a5485bb6bda323f193da8447b53348f7d1","cross_cats_sorted":["cs.NE","math.AP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-09-17T03:51:07Z","title_canon_sha256":"65ec06476dc63121b5dce3d15ad9d281a4557fc9a95742777ea22ee3b88af3c7"},"schema_version":"1.0","source":{"id":"1109.3745","kind":"arxiv","version":3}},"canonical_sha256":"f017d9b95ee3cef512eb022ff5e63cf481ffef2edb91b3d863ab93c5fcbecd9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f017d9b95ee3cef512eb022ff5e63cf481ffef2edb91b3d863ab93c5fcbecd9c","first_computed_at":"2026-05-18T02:42:15.405568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:15.405568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"29n/xKGOx7YIwAieHbiMORZBcs4n8MFc42RmFM558nAVPROmTokC8+WmYj37ACZhIEpeHW4bUm0o5vkXs0lqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:15.406426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3745","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac5bc4740080e53c700140aa9719da5c0364f8b52b8816ebb1b2135393107396","sha256:33e766f89a6df6eb40e44d3291adb3857ca67d097990dd0f6b9c8bb1eb6255db"],"state_sha256":"e8e64c055e6533b61a405c5edb76d05094d5eab75df1cbd91d03626df523167d"}