{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:REZPFSCQHI43R47DECMYLPJBUZ","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":"8279dfa9d822ba713e57d0fd8e7f16017581b375582be6c6e5a963ed6b1fff0d","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T01:03:58Z","title_canon_sha256":"5876eaee4bc1dc93a0af75d958e7cdf5b70da81e873ff07626a77ca8dc3eb801"},"schema_version":"1.0","source":{"id":"1703.03498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03498","created_at":"2026-05-18T00:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03498v2","created_at":"2026-05-18T00:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03498","created_at":"2026-05-18T00:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"REZPFSCQHI43","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"REZPFSCQHI43R47D","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"REZPFSCQ","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:83c2808b4f3a26e62b0a298f64439f27cd14af19a910790335690ab3111f98ba","target":"graph","created_at":"2026-05-18T00:38:56Z","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":"The well known elliptic discrete Painlev\\'e equation of Sakai is constructed by a standard translation on the $E_8^{(1)}$ lattice, given by nearest neighbor vectors. In this paper, we give a new elliptic discrete Painlev\\'e equation obtained by translations along next-nearest-neighbor vectors. This equation is a generic (8-parameter) version of a 2-parameter elliptic difference equation found by reduction from Adler's partial difference equation, the so-called Q4 equation. We also provide a projective reduction of the well known equation of Sakai.","authors_text":"Nalini Joshi, Nobutaka Nakazono","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T01:03:58Z","title":"Elliptic Painlev\\'e equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03498","kind":"arxiv","version":2},"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:d15a81bd83212ef48c1c8103546922d4883f5422cb3b116177f2550f4d420fb0","target":"record","created_at":"2026-05-18T00:38:56Z","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":"8279dfa9d822ba713e57d0fd8e7f16017581b375582be6c6e5a963ed6b1fff0d","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-03-10T01:03:58Z","title_canon_sha256":"5876eaee4bc1dc93a0af75d958e7cdf5b70da81e873ff07626a77ca8dc3eb801"},"schema_version":"1.0","source":{"id":"1703.03498","kind":"arxiv","version":2}},"canonical_sha256":"8932f2c8503a39b8f3e3209985bd21a665529457ee6b24c133e29c661a880fa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8932f2c8503a39b8f3e3209985bd21a665529457ee6b24c133e29c661a880fa4","first_computed_at":"2026-05-18T00:38:56.893594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:56.893594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdQrj7Jd6GeLNbaWnASpulimbW9mBUNR/euHBN2hFYZmBMaVqKoA8cL2C6el6I/29hhO0bFx0Uw9v1D5217fDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:56.894290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d15a81bd83212ef48c1c8103546922d4883f5422cb3b116177f2550f4d420fb0","sha256:83c2808b4f3a26e62b0a298f64439f27cd14af19a910790335690ab3111f98ba"],"state_sha256":"245388a7f9f8e4414f88f78e80a83f027f8aea8ce1ef3cb5b3f9562b1dddf360"}