{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:XZUC5CSX2Q4EPOANWMHM5EZPHL","short_pith_number":"pith:XZUC5CSX","schema_version":"1.0","canonical_sha256":"be682e8a57d43847b80db30ece932f3afb27e25bd2bd2a47a3fb3bba6bef5327","source":{"kind":"arxiv","id":"nlin/0604066","version":1},"attestation_state":"computed","paper":{"title":"On a discrete Davey-Stewartson system","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Decio Levi, Gegenhasi, Xing-biao Hu","submitted_at":"2006-04-26T07:10:52Z","abstract_excerpt":"We propose a differential difference equation in ${\\mathcal R}^1\\times {\\mathcal Z}^2$ and study it by\n Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation. The solutions of this discrete DS system are characterized by Casorati and Grammian determinants. Based on the bilinear form of this discrete DS system, we construct the bilinear B\\\"{a}cklund transformation which enables us to obtain its Lax pair."},"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":"nlin/0604066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-04-26T07:10:52Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"7ad5dbc3fa53191ddcced7b7f6766d235c624c79b4e3c2690aa3488eb14d403c","abstract_canon_sha256":"e98755c569623c33a42f11ff82ece23ad9cf0ad47f6bf48bb83bed173b1f3657"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:21.652832Z","signature_b64":"/myvK8eYYLaDSU5SH4y5HQIpU3ecJ9P3HwBTvYD30RXWMxEwS2QcwACtwjgKz08r/Gbv0EfSE5X2Ro1uYcPzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be682e8a57d43847b80db30ece932f3afb27e25bd2bd2a47a3fb3bba6bef5327","last_reissued_at":"2026-05-18T01:05:21.652375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:21.652375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a discrete Davey-Stewartson system","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Decio Levi, Gegenhasi, Xing-biao Hu","submitted_at":"2006-04-26T07:10:52Z","abstract_excerpt":"We propose a differential difference equation in ${\\mathcal R}^1\\times {\\mathcal Z}^2$ and study it by\n Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewartson equation. The solutions of this discrete DS system are characterized by Casorati and Grammian determinants. Based on the bilinear form of this discrete DS system, we construct the bilinear B\\\"{a}cklund transformation which enables us to obtain its Lax pair."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0604066","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":"nlin/0604066","created_at":"2026-05-18T01:05:21.652451+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0604066v1","created_at":"2026-05-18T01:05:21.652451+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0604066","created_at":"2026-05-18T01:05:21.652451+00:00"},{"alias_kind":"pith_short_12","alias_value":"XZUC5CSX2Q4E","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"XZUC5CSX2Q4EPOAN","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"XZUC5CSX","created_at":"2026-05-18T12:25:54.717736+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/XZUC5CSX2Q4EPOANWMHM5EZPHL","json":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL.json","graph_json":"https://pith.science/api/pith-number/XZUC5CSX2Q4EPOANWMHM5EZPHL/graph.json","events_json":"https://pith.science/api/pith-number/XZUC5CSX2Q4EPOANWMHM5EZPHL/events.json","paper":"https://pith.science/paper/XZUC5CSX"},"agent_actions":{"view_html":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL","download_json":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL.json","view_paper":"https://pith.science/paper/XZUC5CSX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0604066&json=true","fetch_graph":"https://pith.science/api/pith-number/XZUC5CSX2Q4EPOANWMHM5EZPHL/graph.json","fetch_events":"https://pith.science/api/pith-number/XZUC5CSX2Q4EPOANWMHM5EZPHL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL/action/storage_attestation","attest_author":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL/action/author_attestation","sign_citation":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL/action/citation_signature","submit_replication":"https://pith.science/pith/XZUC5CSX2Q4EPOANWMHM5EZPHL/action/replication_record"}},"created_at":"2026-05-18T01:05:21.652451+00:00","updated_at":"2026-05-18T01:05:21.652451+00:00"}