{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DXXMA5A6UNJ3BI4VFKWN6D4QZL","short_pith_number":"pith:DXXMA5A6","schema_version":"1.0","canonical_sha256":"1deec0741ea353b0a3952aacdf0f90cacb4da51926d85a581d992b756025b8f3","source":{"kind":"arxiv","id":"1708.03179","version":1},"attestation_state":"computed","paper":{"title":"On the integrability of a lattice equation with two continuum limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"R.I. Yamilov, R.N. Garifullin","submitted_at":"2017-08-10T12:25:28Z","abstract_excerpt":"We study a new example of lattice equation being one of the key equations of a recent generalized symmetry classification of five-point differential-difference equations. This equation has two different continuum limits which are the well-known fifth order partial-differential equations, namely, the Sawada-Kotera and Kaup-Kupershmidt equations. We justify its integrability by constructing an $L-A$ pair and a hierarchy of conservation laws."},"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":"1708.03179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-08-10T12:25:28Z","cross_cats_sorted":[],"title_canon_sha256":"6dc4a0b9d473bd292326471946bf3d839aebe73c8416ce6b21275b5f5704622a","abstract_canon_sha256":"fbf818b13aa6b4d481d5b88d5d114b02df282312c9c7df19f251b4e87fbc1c8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:14.553772Z","signature_b64":"/EAgFjyEi0Ff7K3uJcKErrNw+0OxsJDL/fNoOyZLw2/DjdkZdD1EpDc08wc8k8MFhklRaVGo2Qe2bYfRFLCLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1deec0741ea353b0a3952aacdf0f90cacb4da51926d85a581d992b756025b8f3","last_reissued_at":"2026-05-18T00:38:14.552962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:14.552962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the integrability of a lattice equation with two continuum limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"R.I. Yamilov, R.N. Garifullin","submitted_at":"2017-08-10T12:25:28Z","abstract_excerpt":"We study a new example of lattice equation being one of the key equations of a recent generalized symmetry classification of five-point differential-difference equations. This equation has two different continuum limits which are the well-known fifth order partial-differential equations, namely, the Sawada-Kotera and Kaup-Kupershmidt equations. We justify its integrability by constructing an $L-A$ pair and a hierarchy of conservation laws."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03179","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":"1708.03179","created_at":"2026-05-18T00:38:14.553092+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03179v1","created_at":"2026-05-18T00:38:14.553092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03179","created_at":"2026-05-18T00:38:14.553092+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXXMA5A6UNJ3","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXXMA5A6UNJ3BI4V","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXXMA5A6","created_at":"2026-05-18T12:31:12.930513+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/DXXMA5A6UNJ3BI4VFKWN6D4QZL","json":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL.json","graph_json":"https://pith.science/api/pith-number/DXXMA5A6UNJ3BI4VFKWN6D4QZL/graph.json","events_json":"https://pith.science/api/pith-number/DXXMA5A6UNJ3BI4VFKWN6D4QZL/events.json","paper":"https://pith.science/paper/DXXMA5A6"},"agent_actions":{"view_html":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL","download_json":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL.json","view_paper":"https://pith.science/paper/DXXMA5A6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03179&json=true","fetch_graph":"https://pith.science/api/pith-number/DXXMA5A6UNJ3BI4VFKWN6D4QZL/graph.json","fetch_events":"https://pith.science/api/pith-number/DXXMA5A6UNJ3BI4VFKWN6D4QZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL/action/storage_attestation","attest_author":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL/action/author_attestation","sign_citation":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL/action/citation_signature","submit_replication":"https://pith.science/pith/DXXMA5A6UNJ3BI4VFKWN6D4QZL/action/replication_record"}},"created_at":"2026-05-18T00:38:14.553092+00:00","updated_at":"2026-05-18T00:38:14.553092+00:00"}