{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:L2UCKGT7IXZKAFUXE7BTU6UOFD","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":"59c08a2c5221336b13758a3a31a9299bc48f6aa8ae29020bb43b7064c7cdbdc5","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-12-18T06:02:05Z","title_canon_sha256":"745aac6853929c26edf97eaabde01b9e70541b2c2d70fc2b796ab807aaad9294"},"schema_version":"1.0","source":{"id":"1012.4061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4061","created_at":"2026-05-18T04:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4061v1","created_at":"2026-05-18T04:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4061","created_at":"2026-05-18T04:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"L2UCKGT7IXZK","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L2UCKGT7IXZKAFUX","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L2UCKGT7","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:5d7b7ed23ae2118e09a38787c04ad872ee1d2f6d7281bf86f480a022be978903","target":"graph","created_at":"2026-05-18T04:27:06Z","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":"We construct generalized solutions to the ultradiscrete KdV equation, including the so-called negative solition solutions. The method is based on the ultradiscretization of soliton solutions to the discrete KdV equation with gauge transformation. The conserved quantities of the ultradiscrete KdV equation are shown to be constructed in a similar way to those for the box-ball system.","authors_text":"Jun Mada, Masataka Kanki, Tetsuji Tokihiro","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-12-18T06:02:05Z","title":"Conserved quantities and generalized solutions of the ultradiscrete KdV equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4061","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:ae34f3a8ba62ee8b12cbc819aac37f7d065634059bfea6ae170c4c962e2cc158","target":"record","created_at":"2026-05-18T04:27:06Z","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":"59c08a2c5221336b13758a3a31a9299bc48f6aa8ae29020bb43b7064c7cdbdc5","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-12-18T06:02:05Z","title_canon_sha256":"745aac6853929c26edf97eaabde01b9e70541b2c2d70fc2b796ab807aaad9294"},"schema_version":"1.0","source":{"id":"1012.4061","kind":"arxiv","version":1}},"canonical_sha256":"5ea8251a7f45f2a0169727c33a7a8e28eba04ce0d8f369de32529496570671da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ea8251a7f45f2a0169727c33a7a8e28eba04ce0d8f369de32529496570671da","first_computed_at":"2026-05-18T04:27:06.275539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:06.275539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4ShHx2qRsai4y86eM5sBqjVU2uYtGFofRJjFZ7Oe+DLQ33kNqChMixvDXX8BnljE+jtm6eFTBmSbhsUeyxUdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:06.276161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae34f3a8ba62ee8b12cbc819aac37f7d065634059bfea6ae170c4c962e2cc158","sha256:5d7b7ed23ae2118e09a38787c04ad872ee1d2f6d7281bf86f480a022be978903"],"state_sha256":"61786444f6bb54d95ab3424fa64a4d5862c08b6fad5026e8db2e2319c3ee66c4"}