{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:A7ZWEKMQNVUQXTUEBD6MIPR35A","short_pith_number":"pith:A7ZWEKMQ","canonical_record":{"source":{"id":"nlin/0310050","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-10-31T17:19:58Z","cross_cats_sorted":[],"title_canon_sha256":"b4bbc6bc59034277beaf513e1cbff56215546361edfe6bee098c55b2de663431","abstract_canon_sha256":"c206b25a249c7d93bf885739b0839fe2413fdc384ca49cd65044bbed5960b813"},"schema_version":"1.0"},"canonical_sha256":"07f36229906d690bce8408fcc43e3be831c6101b47176fc5cca8a21ff85319c4","source":{"kind":"arxiv","id":"nlin/0310050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0310050","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0310050v1","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0310050","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"A7ZWEKMQNVUQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"A7ZWEKMQNVUQXTUE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"A7ZWEKMQ","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:A7ZWEKMQNVUQXTUEBD6MIPR35A","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0310050","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-10-31T17:19:58Z","cross_cats_sorted":[],"title_canon_sha256":"b4bbc6bc59034277beaf513e1cbff56215546361edfe6bee098c55b2de663431","abstract_canon_sha256":"c206b25a249c7d93bf885739b0839fe2413fdc384ca49cd65044bbed5960b813"},"schema_version":"1.0"},"canonical_sha256":"07f36229906d690bce8408fcc43e3be831c6101b47176fc5cca8a21ff85319c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:19.198466Z","signature_b64":"2UIjUohL/MB1te/s7Kcwr5XyH87L2YZ5wlvChmUcsF4Z9YdeYpqaK+WdIToAVbsi3mUEokMEyo4xdng1QyI6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07f36229906d690bce8408fcc43e3be831c6101b47176fc5cca8a21ff85319c4","last_reissued_at":"2026-05-18T01:38:19.197535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:19.197535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0310050","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hpHJMFtZm8sZQZsq10v/qgrb6kBye8ttcLvrrvPNCl5LyLeQ0KcMUlfV/cPpoxFgsS6ditySHQtkdZyx3jPpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:52:25.540297Z"},"content_sha256":"f45c9fd88e0a0f4ffd90008749956fe8706262e7ebb7356d690397172ef70c87","schema_version":"1.0","event_id":"sha256:f45c9fd88e0a0f4ffd90008749956fe8706262e7ebb7356d690397172ef70c87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:A7ZWEKMQNVUQXTUEBD6MIPR35A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unified description of the asymmetric q-P_{v} and d-P_{iv} equations and their Schlesinger transformations","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. Ramani, B. Grammaticos, Y. Ohta","submitted_at":"2003-10-31T17:19:58Z","abstract_excerpt":"We present a geometric description, based on the affine Weyl group E_{6}^{(1)}, of two discrete analogues of the Painlev\\'e VI equation, known as the asymmetric q-P_{V} and asymmetric d-P_{IV}. This approach allows us to describe in a unified way the evolution of the mapping along the independent variable and along the various parameters (the latter evolution being the one induced by the Schlesinger transformations). It turns out that both discrete Painlev\\'e equations exhibit the property of self-duality: the same equation governs the evolution along any direction in the space of E_{6}^{(1)}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0310050","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynps25UMCtqs9JeVu07T1OwKEXnx3+M79SLHA+GwQDjt0L0MfYhpoHF4Y+NQMHlKelt/WLwF7ph730RzeqnwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:52:25.540694Z"},"content_sha256":"0e0880847ca56fe70d3377a6908998c5060c74445f4d1a80654036424c08aab8","schema_version":"1.0","event_id":"sha256:0e0880847ca56fe70d3377a6908998c5060c74445f4d1a80654036424c08aab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/bundle.json","state_url":"https://pith.science/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T08:52:25Z","links":{"resolver":"https://pith.science/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A","bundle":"https://pith.science/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/bundle.json","state":"https://pith.science/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A7ZWEKMQNVUQXTUEBD6MIPR35A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:A7ZWEKMQNVUQXTUEBD6MIPR35A","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":"c206b25a249c7d93bf885739b0839fe2413fdc384ca49cd65044bbed5960b813","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-10-31T17:19:58Z","title_canon_sha256":"b4bbc6bc59034277beaf513e1cbff56215546361edfe6bee098c55b2de663431"},"schema_version":"1.0","source":{"id":"nlin/0310050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0310050","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0310050v1","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0310050","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"A7ZWEKMQNVUQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"A7ZWEKMQNVUQXTUE","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"A7ZWEKMQ","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:0e0880847ca56fe70d3377a6908998c5060c74445f4d1a80654036424c08aab8","target":"graph","created_at":"2026-05-18T01:38:19Z","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":"We present a geometric description, based on the affine Weyl group E_{6}^{(1)}, of two discrete analogues of the Painlev\\'e VI equation, known as the asymmetric q-P_{V} and asymmetric d-P_{IV}. This approach allows us to describe in a unified way the evolution of the mapping along the independent variable and along the various parameters (the latter evolution being the one induced by the Schlesinger transformations). It turns out that both discrete Painlev\\'e equations exhibit the property of self-duality: the same equation governs the evolution along any direction in the space of E_{6}^{(1)}.","authors_text":"A. Ramani, B. Grammaticos, Y. Ohta","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2003-10-31T17:19:58Z","title":"A unified description of the asymmetric q-P_{v} and d-P_{iv} equations and their Schlesinger transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0310050","kind":"arxiv","version":1},"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:f45c9fd88e0a0f4ffd90008749956fe8706262e7ebb7356d690397172ef70c87","target":"record","created_at":"2026-05-18T01:38:19Z","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":"c206b25a249c7d93bf885739b0839fe2413fdc384ca49cd65044bbed5960b813","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-10-31T17:19:58Z","title_canon_sha256":"b4bbc6bc59034277beaf513e1cbff56215546361edfe6bee098c55b2de663431"},"schema_version":"1.0","source":{"id":"nlin/0310050","kind":"arxiv","version":1}},"canonical_sha256":"07f36229906d690bce8408fcc43e3be831c6101b47176fc5cca8a21ff85319c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07f36229906d690bce8408fcc43e3be831c6101b47176fc5cca8a21ff85319c4","first_computed_at":"2026-05-18T01:38:19.197535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:19.197535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2UIjUohL/MB1te/s7Kcwr5XyH87L2YZ5wlvChmUcsF4Z9YdeYpqaK+WdIToAVbsi3mUEokMEyo4xdng1QyI6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:19.198466Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0310050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f45c9fd88e0a0f4ffd90008749956fe8706262e7ebb7356d690397172ef70c87","sha256:0e0880847ca56fe70d3377a6908998c5060c74445f4d1a80654036424c08aab8"],"state_sha256":"91d5d6c51a7f81183af9091e080d0f58e5050b3e07bf8532c4fc3f0b8eb0362f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1tan+sXBs4NLn6rdzhIFCLtDtKY2hAhPGKG+R1hnR+p+4JgAQMfsyS13ErIM3cKEqdBmJtq8LtgdR5XFLWQ0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:52:25.543219Z","bundle_sha256":"2e602a334827b8599d0c12b251480b4c6c9fd23ca8297516ff649424d3fb1429"}}