{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZKNUZFQKDQ3SW5K5VFFZHBF3AB","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":"ab5973a561cc9a87438a062d443adee2ae2e5d7ac546b0b4d5c38bd1fbb69ad8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-02-19T00:47:01Z","title_canon_sha256":"0db69e89e2980b754932f76f2c7ea0a355549cd7dc45b44cc8874d1b3cbadf68"},"schema_version":"1.0","source":{"id":"1002.3649","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.3649","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1002.3649v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3649","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZKNUZFQKDQ3S","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZKNUZFQKDQ3SW5K5","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZKNUZFQK","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:8dfdec09faeaec7b65b977f14fa13687c22657c48147081fb0d8119f2ebc8b08","target":"graph","created_at":"2026-05-18T04:22:40Z","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":"The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.","authors_text":"Bao-feng Feng, Ken-ichi Maruno, Yasuhiro Ohta","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-02-19T00:47:01Z","title":"Integrable discretizations for the short wave model of the Camassa-Holm equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3649","kind":"arxiv","version":1},"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":"sha256:5321b863d4966288071b923e80b5de90bbe2cbc948df46722d83813136ce0e68","target":"record","created_at":"2026-05-18T04:22:40Z","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":"ab5973a561cc9a87438a062d443adee2ae2e5d7ac546b0b4d5c38bd1fbb69ad8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-02-19T00:47:01Z","title_canon_sha256":"0db69e89e2980b754932f76f2c7ea0a355549cd7dc45b44cc8874d1b3cbadf68"},"schema_version":"1.0","source":{"id":"1002.3649","kind":"arxiv","version":1}},"canonical_sha256":"ca9b4c960a1c372b755da94b9384bb0059225aaeb971154d20727877ab4e159a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca9b4c960a1c372b755da94b9384bb0059225aaeb971154d20727877ab4e159a","first_computed_at":"2026-05-18T04:22:40.441904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.441904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FIWPIFcnP7viwBnOVGZS5Z+c/i243LMBmw7FEvWYqE1p7XpYIIbVCKjMs0oRbBaIvrUnjBv4HrQlfv0G8a1+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.442284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.3649","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5321b863d4966288071b923e80b5de90bbe2cbc948df46722d83813136ce0e68","sha256:8dfdec09faeaec7b65b977f14fa13687c22657c48147081fb0d8119f2ebc8b08"],"state_sha256":"65f787cf583dea209d0a479dc2807be61707da7a62d1ae0fccc4bd9cb7b7514d"}