{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MWYOR6BO3SQGY2MGA5SAUR7P3E","short_pith_number":"pith:MWYOR6BO","schema_version":"1.0","canonical_sha256":"65b0e8f82edca06c698607640a47efd91006f56c3cfdbb85aaaa9d4f4cd4893f","source":{"kind":"arxiv","id":"1705.03129","version":2},"attestation_state":"computed","paper":{"title":"Integrable Discrete Model for One-dimensional Soil Water Infiltration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Dimetre Triadis, Ken-ichi Maruno, Kenji Kajiwara, Philip Broadbridge","submitted_at":"2017-05-09T00:23:14Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.03129","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-09T00:23:14Z","cross_cats_sorted":[],"title_canon_sha256":"10513939f505d284656dbeafb43cd1c99ac0031374816a0acdbe44521bb36432","abstract_canon_sha256":"1e042151e4cc9ce81f32e3bfad7276e6bf989de1e786eea17d6c37a8c2952216"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:52.557256Z","signature_b64":"j86Guixz3KHQRxDo7ZzOnGLUnHwU7fJ5Xc4F8ydxe0x8MUlnqmoR3c1Lzw8ETRkH6ag6msKV/MNZjKnUuE4JBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65b0e8f82edca06c698607640a47efd91006f56c3cfdbb85aaaa9d4f4cd4893f","last_reissued_at":"2026-05-18T00:27:52.556638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:52.556638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable Discrete Model for One-dimensional Soil Water Infiltration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Dimetre Triadis, Ken-ichi Maruno, Kenji Kajiwara, Philip Broadbridge","submitted_at":"2017-05-09T00:23:14Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03129","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.03129","created_at":"2026-05-18T00:27:52.556756+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.03129v2","created_at":"2026-05-18T00:27:52.556756+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03129","created_at":"2026-05-18T00:27:52.556756+00:00"},{"alias_kind":"pith_short_12","alias_value":"MWYOR6BO3SQG","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MWYOR6BO3SQGY2MG","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MWYOR6BO","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E","json":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E.json","graph_json":"https://pith.science/api/pith-number/MWYOR6BO3SQGY2MGA5SAUR7P3E/graph.json","events_json":"https://pith.science/api/pith-number/MWYOR6BO3SQGY2MGA5SAUR7P3E/events.json","paper":"https://pith.science/paper/MWYOR6BO"},"agent_actions":{"view_html":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E","download_json":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E.json","view_paper":"https://pith.science/paper/MWYOR6BO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.03129&json=true","fetch_graph":"https://pith.science/api/pith-number/MWYOR6BO3SQGY2MGA5SAUR7P3E/graph.json","fetch_events":"https://pith.science/api/pith-number/MWYOR6BO3SQGY2MGA5SAUR7P3E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E/action/storage_attestation","attest_author":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E/action/author_attestation","sign_citation":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E/action/citation_signature","submit_replication":"https://pith.science/pith/MWYOR6BO3SQGY2MGA5SAUR7P3E/action/replication_record"}},"created_at":"2026-05-18T00:27:52.556756+00:00","updated_at":"2026-05-18T00:27:52.556756+00:00"}