{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A","short_pith_number":"pith:FBQ6GXZ4","schema_version":"1.0","canonical_sha256":"2861e35f3cd2d1a4f5d9ec3995b06ee83b9774f809e5c8a180e613639616aae2","source":{"kind":"arxiv","id":"1012.2428","version":1},"attestation_state":"computed","paper":{"title":"Ultradiscrete Pl\\\"ucker Relation Specialized for Soliton Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Daisuke Takahashi, Hidetomo Nagai","submitted_at":"2010-12-11T06:12:49Z","abstract_excerpt":"We propose an ultradiscrete analogue of Pl\\\"ucker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the permanent, that is, the signature-free determinant. Using this relation, we also show soliton solutions to the ultradiscrete KP equation and the ultradiscrete two-dimensional Toda lattice equation respectively."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1012.2428","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-12-11T06:12:49Z","cross_cats_sorted":[],"title_canon_sha256":"e6c19ae4fb99743f2051e63c5533b93c733a5b77aeaa16a89bbd2e19d6cdf7a5","abstract_canon_sha256":"64809e2234b3e0882f3e9f20f6cc10ad37b9b380ff55ce310de8c89a843d1dfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:30.154507Z","signature_b64":"y8os+RWy5P8F+K1xPayRkNu6rlUg5Xkua+eA5o2clwNH7xNenLI6EvFzNV1SR4GDzwRuKyI6JUlHT93GJFZvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2861e35f3cd2d1a4f5d9ec3995b06ee83b9774f809e5c8a180e613639616aae2","last_reissued_at":"2026-05-18T02:04:30.153814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:30.153814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ultradiscrete Pl\\\"ucker Relation Specialized for Soliton Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Daisuke Takahashi, Hidetomo Nagai","submitted_at":"2010-12-11T06:12:49Z","abstract_excerpt":"We propose an ultradiscrete analogue of Pl\\\"ucker relation specialized for soliton solutions. It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the permanent, that is, the signature-free determinant. Using this relation, we also show soliton solutions to the ultradiscrete KP equation and the ultradiscrete two-dimensional Toda lattice equation respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2428","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1012.2428","created_at":"2026-05-18T02:04:30.153910+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2428v1","created_at":"2026-05-18T02:04:30.153910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2428","created_at":"2026-05-18T02:04:30.153910+00:00"},{"alias_kind":"pith_short_12","alias_value":"FBQ6GXZ42LI2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"FBQ6GXZ42LI2J5OZ","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"FBQ6GXZ4","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A","json":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A.json","graph_json":"https://pith.science/api/pith-number/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/graph.json","events_json":"https://pith.science/api/pith-number/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/events.json","paper":"https://pith.science/paper/FBQ6GXZ4"},"agent_actions":{"view_html":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A","download_json":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A.json","view_paper":"https://pith.science/paper/FBQ6GXZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2428&json=true","fetch_graph":"https://pith.science/api/pith-number/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/graph.json","fetch_events":"https://pith.science/api/pith-number/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/action/storage_attestation","attest_author":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/action/author_attestation","sign_citation":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/action/citation_signature","submit_replication":"https://pith.science/pith/FBQ6GXZ42LI2J5OZ5Q4ZLMDO5A/action/replication_record"}},"created_at":"2026-05-18T02:04:30.153910+00:00","updated_at":"2026-05-18T02:04:30.153910+00:00"}