{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4T5MARUDUC77WFCTTNMKYMRVLB","short_pith_number":"pith:4T5MARUD","schema_version":"1.0","canonical_sha256":"e4fac04683a0bffb14539b58ac3235584b040ab07af4e959507a27b762b40e6f","source":{"kind":"arxiv","id":"1705.00518","version":2},"attestation_state":"computed","paper":{"title":"Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Allan P. Fordy, Pavlos Xenitidis","submitted_at":"2017-05-01T13:50:27Z","abstract_excerpt":"We recently introduced a class of ${\\mathbb{Z}}_N$ graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called \"self-dual\". In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation."},"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":"1705.00518","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2017-05-01T13:50:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ac0a944ee615998984ab6a0b8ddf1c11910c2ccc9e9cf42f138ac9042edef7f3","abstract_canon_sha256":"f3e4c7c9633b2f7922c911ebaaad09ab1666938071f80f595e268b1e8c73b58c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:48.711971Z","signature_b64":"lYGIOVGO3WEnXLLH3N1j24kZYvq23ihoa9gDlp+kFTeXYYBm4UpTM6dTOsB5y8fGghG7a/Sg11jCTfIxUySxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4fac04683a0bffb14539b58ac3235584b040ab07af4e959507a27b762b40e6f","last_reissued_at":"2026-05-18T00:40:48.711308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:48.711308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Allan P. Fordy, Pavlos Xenitidis","submitted_at":"2017-05-01T13:50:27Z","abstract_excerpt":"We recently introduced a class of ${\\mathbb{Z}}_N$ graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called \"self-dual\". In this paper we discuss the continuous symmetries of these systems, their reductions and the relation of the latter to the Bogoyavlensky equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00518","kind":"arxiv","version":2},"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":"1705.00518","created_at":"2026-05-18T00:40:48.711397+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00518v2","created_at":"2026-05-18T00:40:48.711397+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00518","created_at":"2026-05-18T00:40:48.711397+00:00"},{"alias_kind":"pith_short_12","alias_value":"4T5MARUDUC77","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4T5MARUDUC77WFCT","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4T5MARUD","created_at":"2026-05-18T12:31:00.734936+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/4T5MARUDUC77WFCTTNMKYMRVLB","json":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB.json","graph_json":"https://pith.science/api/pith-number/4T5MARUDUC77WFCTTNMKYMRVLB/graph.json","events_json":"https://pith.science/api/pith-number/4T5MARUDUC77WFCTTNMKYMRVLB/events.json","paper":"https://pith.science/paper/4T5MARUD"},"agent_actions":{"view_html":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB","download_json":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB.json","view_paper":"https://pith.science/paper/4T5MARUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00518&json=true","fetch_graph":"https://pith.science/api/pith-number/4T5MARUDUC77WFCTTNMKYMRVLB/graph.json","fetch_events":"https://pith.science/api/pith-number/4T5MARUDUC77WFCTTNMKYMRVLB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB/action/storage_attestation","attest_author":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB/action/author_attestation","sign_citation":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB/action/citation_signature","submit_replication":"https://pith.science/pith/4T5MARUDUC77WFCTTNMKYMRVLB/action/replication_record"}},"created_at":"2026-05-18T00:40:48.711397+00:00","updated_at":"2026-05-18T00:40:48.711397+00:00"}