{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MWYOR6BO3SQGY2MGA5SAUR7P3E","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":"1e042151e4cc9ce81f32e3bfad7276e6bf989de1e786eea17d6c37a8c2952216","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-09T00:23:14Z","title_canon_sha256":"10513939f505d284656dbeafb43cd1c99ac0031374816a0acdbe44521bb36432"},"schema_version":"1.0","source":{"id":"1705.03129","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03129","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03129v2","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03129","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"pith_short_12","alias_value":"MWYOR6BO3SQG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MWYOR6BO3SQGY2MG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MWYOR6BO","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:1b3740d59c9b6a2a280fbac47e79943fece7d24fafd60ecb3b9686a06c55078b","target":"graph","created_at":"2026-05-18T00:27:52Z","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 propose an integrable discrete model of one-dimensional soil water infiltration. This model is based on the continuum model by Broadbridge and White, which takes the form of nonlinear convection-diffusion equation with a nonlinear flux boundary condition at the surface. It is transformed to the Burgers equation with a time-dependent flux term by the hodograph transformation. We construct a discrete model preserving the underlying integrability, which is formulated as the self-adaptive moving mesh scheme. The discretization is based on linearizability of the Burgers equation to the linear di","authors_text":"Dimetre Triadis, Ken-ichi Maruno, Kenji Kajiwara, Philip Broadbridge","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-09T00:23:14Z","title":"Integrable Discrete Model for One-dimensional Soil Water Infiltration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03129","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:b016f2d40e3a73fe0187b322d1571fe2b911964a03420c573c144db36b0057e0","target":"record","created_at":"2026-05-18T00:27:52Z","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":"1e042151e4cc9ce81f32e3bfad7276e6bf989de1e786eea17d6c37a8c2952216","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-09T00:23:14Z","title_canon_sha256":"10513939f505d284656dbeafb43cd1c99ac0031374816a0acdbe44521bb36432"},"schema_version":"1.0","source":{"id":"1705.03129","kind":"arxiv","version":2}},"canonical_sha256":"65b0e8f82edca06c698607640a47efd91006f56c3cfdbb85aaaa9d4f4cd4893f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65b0e8f82edca06c698607640a47efd91006f56c3cfdbb85aaaa9d4f4cd4893f","first_computed_at":"2026-05-18T00:27:52.556638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:52.556638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j86Guixz3KHQRxDo7ZzOnGLUnHwU7fJ5Xc4F8ydxe0x8MUlnqmoR3c1Lzw8ETRkH6ag6msKV/MNZjKnUuE4JBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:52.557256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03129","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b016f2d40e3a73fe0187b322d1571fe2b911964a03420c573c144db36b0057e0","sha256:1b3740d59c9b6a2a280fbac47e79943fece7d24fafd60ecb3b9686a06c55078b"],"state_sha256":"cb17747136cc877914b1476a790bfbe5a1470a82d2718da40b42f9fc6ae6a559"}