{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MYKEDD5TYTPDWOBYGMF2G4C3ID","short_pith_number":"pith:MYKEDD5T","schema_version":"1.0","canonical_sha256":"6614418fb3c4de3b3838330ba3705b40da6099ba3a9f5cf8ac4845986040bb7c","source":{"kind":"arxiv","id":"1308.5473","version":1},"attestation_state":"computed","paper":{"title":"Symbolic Computation of Lax Pairs of Partial Difference Equations Using Consistency Around the Cube","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"G. Reinout W. Quispel, Peter H. van der Kamp, Terry Bridgman, Willy A. Hereman","submitted_at":"2013-08-26T02:22:52Z","abstract_excerpt":"A three-step method due to Nijhoff and Bobenko & Suris to derive a Lax pair for scalar partial difference equations (P\\Delta Es) is reviewed. The method assumes that the P\\Delta Es are defined on a quadrilateral, and consistent around the cube. Next, the method is extended to systems of P\\Delta Es where one has to carefully account for equations defined on edges of the quadrilateral. Lax pairs are presented for scalar integrable P\\Delta Es classified by Adler, Bobenko, and Suris and systems of P\\Delta Es including the integrable 2-component potential Korteweg-de Vries lattice system, as well a"},"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":"1308.5473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-08-26T02:22:52Z","cross_cats_sorted":[],"title_canon_sha256":"ffc58c5a58dc2c545b00626f088f7c1cc16e9488eb6316693080afb33390fdb8","abstract_canon_sha256":"dae70fb612e19144b0dd033f2b29e09440bcab590305160fb4dd3408722695b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:04.510939Z","signature_b64":"yvPHGRHSKy40G5EUT69H+9XQUbaty0or26Yl/9pA7gP9g7uRT3cakr2gp3j0ozzLzHt8hKJLPqEft3WviCXbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6614418fb3c4de3b3838330ba3705b40da6099ba3a9f5cf8ac4845986040bb7c","last_reissued_at":"2026-05-18T03:15:04.509873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:04.509873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symbolic Computation of Lax Pairs of Partial Difference Equations Using Consistency Around the Cube","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"G. Reinout W. Quispel, Peter H. van der Kamp, Terry Bridgman, Willy A. Hereman","submitted_at":"2013-08-26T02:22:52Z","abstract_excerpt":"A three-step method due to Nijhoff and Bobenko & Suris to derive a Lax pair for scalar partial difference equations (P\\Delta Es) is reviewed. The method assumes that the P\\Delta Es are defined on a quadrilateral, and consistent around the cube. Next, the method is extended to systems of P\\Delta Es where one has to carefully account for equations defined on edges of the quadrilateral. Lax pairs are presented for scalar integrable P\\Delta Es classified by Adler, Bobenko, and Suris and systems of P\\Delta Es including the integrable 2-component potential Korteweg-de Vries lattice system, as well a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5473","kind":"arxiv","version":1},"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":"1308.5473","created_at":"2026-05-18T03:15:04.510010+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.5473v1","created_at":"2026-05-18T03:15:04.510010+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5473","created_at":"2026-05-18T03:15:04.510010+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYKEDD5TYTPD","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYKEDD5TYTPDWOBY","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYKEDD5T","created_at":"2026-05-18T12:27:52.871228+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/MYKEDD5TYTPDWOBYGMF2G4C3ID","json":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID.json","graph_json":"https://pith.science/api/pith-number/MYKEDD5TYTPDWOBYGMF2G4C3ID/graph.json","events_json":"https://pith.science/api/pith-number/MYKEDD5TYTPDWOBYGMF2G4C3ID/events.json","paper":"https://pith.science/paper/MYKEDD5T"},"agent_actions":{"view_html":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID","download_json":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID.json","view_paper":"https://pith.science/paper/MYKEDD5T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.5473&json=true","fetch_graph":"https://pith.science/api/pith-number/MYKEDD5TYTPDWOBYGMF2G4C3ID/graph.json","fetch_events":"https://pith.science/api/pith-number/MYKEDD5TYTPDWOBYGMF2G4C3ID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID/action/storage_attestation","attest_author":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID/action/author_attestation","sign_citation":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID/action/citation_signature","submit_replication":"https://pith.science/pith/MYKEDD5TYTPDWOBYGMF2G4C3ID/action/replication_record"}},"created_at":"2026-05-18T03:15:04.510010+00:00","updated_at":"2026-05-18T03:15:04.510010+00:00"}