{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LCUMR6RC4IKORCJTVRPMZDEFLD","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":"9be2d095a9c1147d6245090e4f0528396ab8947d2b1f07b451a5dfae3e7b9437","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-04-03T16:14:59Z","title_canon_sha256":"f1424ddff83ec919aa67ec53cc197b80137fc71339ff38a6b0681ca32daf0fc0"},"schema_version":"1.0","source":{"id":"1504.00878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00878","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00878v1","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00878","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"LCUMR6RC4IKO","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCUMR6RC4IKORCJT","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCUMR6RC","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:e90981d465dc7abc19368ded7c4c39da43d3b54c5172b4a2c91d2e5502af32bf","target":"graph","created_at":"2026-05-18T02:19:36Z","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":"In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. Firstly, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno (J. Math. Phys. \\textbf{52} 123705) and reaffirm its $N$-soliton solution in terms of pfaffians. Then by using a B\\\"{a}cklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its $N$-soliton solution in terms of pfaffians is","authors_text":"Bao-feng Feng, Ken-ichi Maruno, Yasuhiro Ohta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-04-03T16:14:59Z","title":"Integrable semi-discretization of a multi-component short pulse equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00878","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":"sha256:8bc0711286d8d75b717bb53518748cb251b160f6aac01db364c8ea0e1ca653e2","target":"record","created_at":"2026-05-18T02:19:36Z","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":"9be2d095a9c1147d6245090e4f0528396ab8947d2b1f07b451a5dfae3e7b9437","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-04-03T16:14:59Z","title_canon_sha256":"f1424ddff83ec919aa67ec53cc197b80137fc71339ff38a6b0681ca32daf0fc0"},"schema_version":"1.0","source":{"id":"1504.00878","kind":"arxiv","version":1}},"canonical_sha256":"58a8c8fa22e214e88933ac5ecc8c8558edf19d74b2f8ffff3bab2a3826870eb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58a8c8fa22e214e88933ac5ecc8c8558edf19d74b2f8ffff3bab2a3826870eb3","first_computed_at":"2026-05-18T02:19:36.820199Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:36.820199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gDFcmBoG2SX437tEhyF3WPQZvJIJksQhcqAwUTIL7X7ETXE1u2921p3lsC5fGtB28fBbK2iuIo7OARnHhjcPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:36.820720Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bc0711286d8d75b717bb53518748cb251b160f6aac01db364c8ea0e1ca653e2","sha256:e90981d465dc7abc19368ded7c4c39da43d3b54c5172b4a2c91d2e5502af32bf"],"state_sha256":"e47338aacc607851f8afeca3c09cfb5f838ad3603f23b9be15d0f62b7ce72669"}