{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6AL5TOK64PHPKEXLAIX7LZR46S","short_pith_number":"pith:6AL5TOK6","canonical_record":{"source":{"id":"1109.3745","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-09-17T03:51:07Z","cross_cats_sorted":["cs.NE","math.AP","physics.flu-dyn"],"title_canon_sha256":"65ec06476dc63121b5dce3d15ad9d281a4557fc9a95742777ea22ee3b88af3c7","abstract_canon_sha256":"73be9509db560f73b20025d63a5324a5485bb6bda323f193da8447b53348f7d1"},"schema_version":"1.0"},"canonical_sha256":"f017d9b95ee3cef512eb022ff5e63cf481ffef2edb91b3d863ab93c5fcbecd9c","source":{"kind":"arxiv","id":"1109.3745","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6AL5TOK64PHPKEXLAIX7LZR46S","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3745","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-09-17T03:51:07Z","cross_cats_sorted":["cs.NE","math.AP","physics.flu-dyn"],"title_canon_sha256":"65ec06476dc63121b5dce3d15ad9d281a4557fc9a95742777ea22ee3b88af3c7","abstract_canon_sha256":"73be9509db560f73b20025d63a5324a5485bb6bda323f193da8447b53348f7d1"},"schema_version":"1.0"},"canonical_sha256":"f017d9b95ee3cef512eb022ff5e63cf481ffef2edb91b3d863ab93c5fcbecd9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:15.406426Z","signature_b64":"29n/xKGOx7YIwAieHbiMORZBcs4n8MFc42RmFM558nAVPROmTokC8+WmYj37ACZhIEpeHW4bUm0o5vkXs0lqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f017d9b95ee3cef512eb022ff5e63cf481ffef2edb91b3d863ab93c5fcbecd9c","last_reissued_at":"2026-05-18T02:42:15.405568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:15.405568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3745","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qTGSBzFcZEmUegKiPoLMQMHoxu5aKRDUJ9BG4nTNBoW7J+6kj0HDhH4+HrqqfyiGPHxKKUfx2Z4OfZ6MIWkZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:12:57.877712Z"},"content_sha256":"ac5bc4740080e53c700140aa9719da5c0364f8b52b8816ebb1b2135393107396","schema_version":"1.0","event_id":"sha256:ac5bc4740080e53c700140aa9719da5c0364f8b52b8816ebb1b2135393107396"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6AL5TOK64PHPKEXLAIX7LZR46S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A KdV-like advection-dispersion equation with some remarkable properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE","math.AP","physics.flu-dyn"],"primary_cat":"nlin.PS","authors_text":"Abhijit Sen, Anantanarayanan Thyagaraja, Dilip P. Ahalpara, Govind S. Krishnaswami","submitted_at":"2011-09-17T03:51:07Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3745","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r7zf+TTiCNm5w6C5tR1rGn7vQtDGWF8HlC/t2i6kMh9YYsb8NsvsJKWUsikGzPm23LgCVCd46uT7avjV30aXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:12:57.878302Z"},"content_sha256":"33e766f89a6df6eb40e44d3291adb3857ca67d097990dd0f6b9c8bb1eb6255db","schema_version":"1.0","event_id":"sha256:33e766f89a6df6eb40e44d3291adb3857ca67d097990dd0f6b9c8bb1eb6255db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6AL5TOK64PHPKEXLAIX7LZR46S/bundle.json","state_url":"https://pith.science/pith/6AL5TOK64PHPKEXLAIX7LZR46S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6AL5TOK64PHPKEXLAIX7LZR46S/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T16:12:57Z","links":{"resolver":"https://pith.science/pith/6AL5TOK64PHPKEXLAIX7LZR46S","bundle":"https://pith.science/pith/6AL5TOK64PHPKEXLAIX7LZR46S/bundle.json","state":"https://pith.science/pith/6AL5TOK64PHPKEXLAIX7LZR46S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6AL5TOK64PHPKEXLAIX7LZR46S/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"028i/WqZp0rQs1aVEjChWrHJAXvDOgATXg4QYzmeBwqN5b1yyvxP3N0ltKi/D6TcCynqRMxyTVq5NGAAWfPxAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:12:57.885366Z","bundle_sha256":"15d89a76e9428e88c98705c938e2c8fd3777a74f74a176623a6b9fecd3bff7e5"}}