{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JOVZ3FC6KYH6WIZIQOWUUFF7ZN","short_pith_number":"pith:JOVZ3FC6","schema_version":"1.0","canonical_sha256":"4bab9d945e560feb232883ad4a14bfcb4a45f8a2d2aa6395a21e55bf49cba19e","source":{"kind":"arxiv","id":"1510.05590","version":1},"attestation_state":"computed","paper":{"title":"${\\mathbb{Z}}_N$ graded discrete Lax pairs and Yang-Baxter maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Allan P. Fordy, Pavlos Xenitidis","submitted_at":"2015-10-19T17:15:30Z","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 this paper we introduce the corresponding Yang-Baxter maps. Many well known examples belong to this scheme for $N=2$, so, for $N\\geq 3$, our systems may be regarded as generalisations of these.\n  In particular, for each $N$ we introduce a generalisation of the map $H_{III}^B$ in the classification of scalar Yang-Baxter maps. For $N=3$ this is equivalent to the Yang-Baxter map associated with the discrete modified Boussinesq equation. For $N"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.05590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-10-19T17:15:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"dca6f41e54aebebfab939f5826808509aa86402e8f0167589e7a740132509572","abstract_canon_sha256":"d912e81649880d16fccd01877ebd756c2816e0dd8a35dbb01a642e9f170dc9eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:51.963162Z","signature_b64":"7xP4y5u5bEwkHeMsyL6kqYWJBDOR4p/Dpnir7QPBIa7L4eHypHAzDvgK9LMx42IDskud43bqOW5sclZsElnLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bab9d945e560feb232883ad4a14bfcb4a45f8a2d2aa6395a21e55bf49cba19e","last_reissued_at":"2026-05-18T01:29:51.962576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:51.962576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"${\\mathbb{Z}}_N$ graded discrete Lax pairs and Yang-Baxter maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Allan P. Fordy, Pavlos Xenitidis","submitted_at":"2015-10-19T17:15:30Z","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 this paper we introduce the corresponding Yang-Baxter maps. Many well known examples belong to this scheme for $N=2$, so, for $N\\geq 3$, our systems may be regarded as generalisations of these.\n  In particular, for each $N$ we introduce a generalisation of the map $H_{III}^B$ in the classification of scalar Yang-Baxter maps. For $N=3$ this is equivalent to the Yang-Baxter map associated with the discrete modified Boussinesq equation. For $N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05590","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":"1510.05590","created_at":"2026-05-18T01:29:51.962662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.05590v1","created_at":"2026-05-18T01:29:51.962662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05590","created_at":"2026-05-18T01:29:51.962662+00:00"},{"alias_kind":"pith_short_12","alias_value":"JOVZ3FC6KYH6","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JOVZ3FC6KYH6WIZI","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JOVZ3FC6","created_at":"2026-05-18T12:29:27.538025+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/JOVZ3FC6KYH6WIZIQOWUUFF7ZN","json":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN.json","graph_json":"https://pith.science/api/pith-number/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/graph.json","events_json":"https://pith.science/api/pith-number/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/events.json","paper":"https://pith.science/paper/JOVZ3FC6"},"agent_actions":{"view_html":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN","download_json":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN.json","view_paper":"https://pith.science/paper/JOVZ3FC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.05590&json=true","fetch_graph":"https://pith.science/api/pith-number/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/graph.json","fetch_events":"https://pith.science/api/pith-number/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/action/storage_attestation","attest_author":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/action/author_attestation","sign_citation":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/action/citation_signature","submit_replication":"https://pith.science/pith/JOVZ3FC6KYH6WIZIQOWUUFF7ZN/action/replication_record"}},"created_at":"2026-05-18T01:29:51.962662+00:00","updated_at":"2026-05-18T01:29:51.962662+00:00"}