{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:U6HOTIQYDFES2JOAWKFUJUYQVM","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":"b4dd19f8b0cad9bc9ca4cb00b6637bb50673e8e6674ea67b37ca4fc6643f3e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-20T11:57:02Z","title_canon_sha256":"40d889e212a7472530a6fa227f2c3ab60f347de8c7cf99c0d09ab9f3f7d87caf"},"schema_version":"1.0","source":{"id":"1203.4404","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4404","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4404v1","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4404","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"U6HOTIQYDFES","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"U6HOTIQYDFES2JOA","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"U6HOTIQY","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:d66726f7f39894f22eb5d3951289ecd9b2a8f27a3d28b2059ba45bb7bbf7f05f","target":"graph","created_at":"2026-05-18T01:58:05Z","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":"A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific limiting process based on the theory of tropical geometry. This method gives a tropical analogue of the Krichever construction, which is an algebro-geometric method to construct exact solutions to integrable systems, for the non-periodic system.","authors_text":"Hidetomo Nagai, Shin Isojima, Shinsuke Iwao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-20T11:57:02Z","title":"Tropical Krichever construction for the non-periodic box and ball system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4404","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:d28afc6a0648f40bcd0a9a4f3ec86187d8a53c9f29d0c9f8cbb2a2512843677f","target":"record","created_at":"2026-05-18T01:58:05Z","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":"b4dd19f8b0cad9bc9ca4cb00b6637bb50673e8e6674ea67b37ca4fc6643f3e37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-20T11:57:02Z","title_canon_sha256":"40d889e212a7472530a6fa227f2c3ab60f347de8c7cf99c0d09ab9f3f7d87caf"},"schema_version":"1.0","source":{"id":"1203.4404","kind":"arxiv","version":1}},"canonical_sha256":"a78ee9a21819492d25c0b28b44d310ab268b9e878a1c11fe7f6bcfdfcc0593d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a78ee9a21819492d25c0b28b44d310ab268b9e878a1c11fe7f6bcfdfcc0593d6","first_computed_at":"2026-05-18T01:58:05.581475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:05.581475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQ0oCvOQR4rklAxPwfpZwcM9TqwkFlU6j5cTQBn+LLDxnGp7ZPTcJg34TalnDb0g84S6/9/tS+fEwBt/p48YBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:05.581976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4404","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28afc6a0648f40bcd0a9a4f3ec86187d8a53c9f29d0c9f8cbb2a2512843677f","sha256:d66726f7f39894f22eb5d3951289ecd9b2a8f27a3d28b2059ba45bb7bbf7f05f"],"state_sha256":"56b4d2ab29b6e379196a3aa64b90355ec2ce5b1e94fee0d8c3cf162eab01972f"}