{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PKTFN777IUSCLI4PIQXM5VF52N","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":"1f87ead8474c6fc48a5fdceacab0da541eba8ea8a052e92b30aa90b8cb290f64","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T05:50:10Z","title_canon_sha256":"9d740cf67baf1312593210988578dd702f29366b3cab6fd6a1a35690d41a0f28"},"schema_version":"1.0","source":{"id":"1502.03891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03891","created_at":"2026-05-18T01:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03891v1","created_at":"2026-05-18T01:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03891","created_at":"2026-05-18T01:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"PKTFN777IUSC","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PKTFN777IUSCLI4P","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PKTFN777","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:95f262f56c3e8f9cd09bc33ed6f7b08762d852d1ffe85acd23bf20c63ac72930","target":"graph","created_at":"2026-05-18T01:41:03Z","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":"Based on our previous work to the reduced Ostrovsky equation (J. Phys. A 45 355203), we construct its integrable semi-discretizations. Since the reduced Ostrovsky equation admits two alternative representations, one is its original form, the other is the differentiation form, or the short wave limit of the Degasperis-Procesi equation, two semi- discrete analogues of the reduced Ostrovsky equation are constructed possessing the same N-loop soliton solution. The relationship between these two versions of semi-discretizations is also clarified.","authors_text":"Bao-feng Feng, Ken-ichi Maruno, Yasuhiro Ohta","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T05:50:10Z","title":"Integrable semi-discretizations of the reduced Ostrovsky equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03891","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":"sha256:42f7b933e342a54d8fa89a38f43f6f24d259c3704bee4959c3fa051802524989","target":"record","created_at":"2026-05-18T01:41:03Z","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":"1f87ead8474c6fc48a5fdceacab0da541eba8ea8a052e92b30aa90b8cb290f64","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-13T05:50:10Z","title_canon_sha256":"9d740cf67baf1312593210988578dd702f29366b3cab6fd6a1a35690d41a0f28"},"schema_version":"1.0","source":{"id":"1502.03891","kind":"arxiv","version":1}},"canonical_sha256":"7aa656ffff452425a38f442eced4bdd3589bddc24c3d431b84dd64799baef504","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7aa656ffff452425a38f442eced4bdd3589bddc24c3d431b84dd64799baef504","first_computed_at":"2026-05-18T01:41:03.420704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:03.420704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lu/fetT1ONPLIeY6fFfRfxlspOQfuct9iE9Tjknp6qfrEHVZz4rh/39mo+v8s6JW+qP+/MAvz/HM5bsISZr3Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:03.421184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42f7b933e342a54d8fa89a38f43f6f24d259c3704bee4959c3fa051802524989","sha256:95f262f56c3e8f9cd09bc33ed6f7b08762d852d1ffe85acd23bf20c63ac72930"],"state_sha256":"c77dbd611fafd3a233cccd58906fed8e410d77bfea2faecebe6ed56db081c186"}