{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IKU56BY6EPNQIC7RN2B5DFR5VV","short_pith_number":"pith:IKU56BY6","canonical_record":{"source":{"id":"1010.3036","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2010-10-14T22:06:46Z","cross_cats_sorted":[],"title_canon_sha256":"7fc5f6adf36fc949c66760fb5fb9ca1233f4ec09fb5f5fe39a50a6821b44d840","abstract_canon_sha256":"a5d5072be67e0430088715771ca98ffaf8300cab41febb9630af443f7ca15435"},"schema_version":"1.0"},"canonical_sha256":"42a9df071e23db040bf16e83d1963dad6fc8a90a4ba54e86d0210297b2e63acb","source":{"kind":"arxiv","id":"1010.3036","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3036","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3036v2","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3036","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"IKU56BY6EPNQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IKU56BY6EPNQIC7R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IKU56BY6","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IKU56BY6EPNQIC7RN2B5DFR5VV","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3036","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2010-10-14T22:06:46Z","cross_cats_sorted":[],"title_canon_sha256":"7fc5f6adf36fc949c66760fb5fb9ca1233f4ec09fb5f5fe39a50a6821b44d840","abstract_canon_sha256":"a5d5072be67e0430088715771ca98ffaf8300cab41febb9630af443f7ca15435"},"schema_version":"1.0"},"canonical_sha256":"42a9df071e23db040bf16e83d1963dad6fc8a90a4ba54e86d0210297b2e63acb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:40.248969Z","signature_b64":"ia7IF3Af/3TOJR5uUya1RJXkN7U8nIQlJAotPpgLi8KgMGm7inOL1bT4Sf+q5qZn1DWhviQiShJxmteimKNNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a9df071e23db040bf16e83d1963dad6fc8a90a4ba54e86d0210297b2e63acb","last_reissued_at":"2026-05-18T04:22:40.248427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:40.248427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3036","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUKVMq51ZaRwOLRS1jzWOWrBSXDMUfus6rbg60Gn2sHwKuPA7Ck+a2fwuyY1d2Uoe2nwjRmqw6BUx/3N+I9kDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:17:13.650572Z"},"content_sha256":"4b309ad174c12f99566a5f389e6ad53a1b1a4bed8696e0f5159f61e7cf747485","schema_version":"1.0","event_id":"sha256:4b309ad174c12f99566a5f389e6ad53a1b1a4bed8696e0f5159f61e7cf747485"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IKU56BY6EPNQIC7RN2B5DFR5VV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Lattice Structure of Connection Preserving Deformations for q-Painlev\\'e Equations I","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Christopher M. Ormerod","submitted_at":"2010-10-14T22:06:46Z","abstract_excerpt":"We wish to explore a link between the Lax integrability of the $q$-Painlev\\'e equations and the symmetries of the $q$-Painlev\\'e equations. We shall demonstrate that the connection preserving deformations that give rise to the $q$-Painlev\\'e equations may be thought of as elements of the groups of Schlesinger transformations of their associated linear problems. These groups admit a very natural lattice structure. Each Schlesinger transformation induces a B\\\"acklund transformation of the $q$-Painlev\\'e equation. Each translational B\\\"acklund transformation may be lifted to the level of the asso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3036","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/J/KL/gEU2oFhZbciBa85cIS/jLKUBu+cS+YvTVa/+UlScMG3vOHzGZLsquUyii2DOAtdyA+4tVsDCra4lgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:17:13.650921Z"},"content_sha256":"42d40d8460f79a69f5134ab6d45126a4f033cd41be0b530c3fa39021755cebd9","schema_version":"1.0","event_id":"sha256:42d40d8460f79a69f5134ab6d45126a4f033cd41be0b530c3fa39021755cebd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/bundle.json","state_url":"https://pith.science/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/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":"2026-06-03T18:17:13Z","links":{"resolver":"https://pith.science/pith/IKU56BY6EPNQIC7RN2B5DFR5VV","bundle":"https://pith.science/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/bundle.json","state":"https://pith.science/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKU56BY6EPNQIC7RN2B5DFR5VV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IKU56BY6EPNQIC7RN2B5DFR5VV","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":"a5d5072be67e0430088715771ca98ffaf8300cab41febb9630af443f7ca15435","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2010-10-14T22:06:46Z","title_canon_sha256":"7fc5f6adf36fc949c66760fb5fb9ca1233f4ec09fb5f5fe39a50a6821b44d840"},"schema_version":"1.0","source":{"id":"1010.3036","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3036","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3036v2","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3036","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"IKU56BY6EPNQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IKU56BY6EPNQIC7R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IKU56BY6","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:42d40d8460f79a69f5134ab6d45126a4f033cd41be0b530c3fa39021755cebd9","target":"graph","created_at":"2026-05-18T04:22:40Z","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 wish to explore a link between the Lax integrability of the $q$-Painlev\\'e equations and the symmetries of the $q$-Painlev\\'e equations. We shall demonstrate that the connection preserving deformations that give rise to the $q$-Painlev\\'e equations may be thought of as elements of the groups of Schlesinger transformations of their associated linear problems. These groups admit a very natural lattice structure. Each Schlesinger transformation induces a B\\\"acklund transformation of the $q$-Painlev\\'e equation. Each translational B\\\"acklund transformation may be lifted to the level of the asso","authors_text":"Christopher M. Ormerod","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2010-10-14T22:06:46Z","title":"The Lattice Structure of Connection Preserving Deformations for q-Painlev\\'e Equations I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3036","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":"sha256:4b309ad174c12f99566a5f389e6ad53a1b1a4bed8696e0f5159f61e7cf747485","target":"record","created_at":"2026-05-18T04:22:40Z","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":"a5d5072be67e0430088715771ca98ffaf8300cab41febb9630af443f7ca15435","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2010-10-14T22:06:46Z","title_canon_sha256":"7fc5f6adf36fc949c66760fb5fb9ca1233f4ec09fb5f5fe39a50a6821b44d840"},"schema_version":"1.0","source":{"id":"1010.3036","kind":"arxiv","version":2}},"canonical_sha256":"42a9df071e23db040bf16e83d1963dad6fc8a90a4ba54e86d0210297b2e63acb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42a9df071e23db040bf16e83d1963dad6fc8a90a4ba54e86d0210297b2e63acb","first_computed_at":"2026-05-18T04:22:40.248427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.248427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ia7IF3Af/3TOJR5uUya1RJXkN7U8nIQlJAotPpgLi8KgMGm7inOL1bT4Sf+q5qZn1DWhviQiShJxmteimKNNCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.248969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3036","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b309ad174c12f99566a5f389e6ad53a1b1a4bed8696e0f5159f61e7cf747485","sha256:42d40d8460f79a69f5134ab6d45126a4f033cd41be0b530c3fa39021755cebd9"],"state_sha256":"638161081da47306a1fe2e1cc98f8084d16a2531908f2c8d3a18e5b3b15ec1fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7RaCF1x6pDYrs2kHE7gWY+TEdfgHQmUNspcgo22acnRNN9+LE0lWq7VD3aoZUfiD7XHcwUozx+FkNQ1gxh7bDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:17:13.652810Z","bundle_sha256":"ad7e851b3c8f9058eb7526ea21372a606cafb763f84bdb46a024c3e858e2fd89"}}