{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IPFY6BZ7DVF4UVGBXZOCAL6DK6","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":"e50a4685e2ab1e55364d7f8a87116cc8db30b6edb990f88fec0b94be6a984a87","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-02-11T18:24:25Z","title_canon_sha256":"7a46dcf7f1e5a48f3658c06a3dfa7e2a827b8c6d76a38814aa83fc7bd254d5e1"},"schema_version":"1.0","source":{"id":"2402.07269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07269","created_at":"2026-07-05T07:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07269v2","created_at":"2026-07-05T07:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07269","created_at":"2026-07-05T07:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"IPFY6BZ7DVF4","created_at":"2026-07-05T07:59:05Z"},{"alias_kind":"pith_short_16","alias_value":"IPFY6BZ7DVF4UVGB","created_at":"2026-07-05T07:59:05Z"},{"alias_kind":"pith_short_8","alias_value":"IPFY6BZ7","created_at":"2026-07-05T07:59:05Z"}],"graph_snapshots":[{"event_id":"sha256:538f92367797d69cd84aff39fbf0c72b326126f2bfe3fffea27e8cf379f55e8f","target":"graph","created_at":"2026-07-05T07:59:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.07269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we study a special class of Jimbo-Miwa-Mori-Sato isomonodromy equations, which can be seen as a higher-dimensional generalization of Painlev\\'e VI. We first construct its convergent $n\\times n$ matrix series solutions satisfying certain boundary condition. We then use the Riemann-Hilbert approach to prove that the resulting solutions are almost all the solutions. Along the way, we find a shrinking phenomenon of the eigenvalues of the submatrices of the generic matrix solutions in the long time behaviour.","authors_text":"Qian Tang, Xiaomeng Xu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-02-11T18:24:25Z","title":"The Boundary Condition for Some Isomonodromy Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07269","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":"sha256:1d13a5bea95e5aacf6db4c52a7acd5b5111bd29131dafa842e65778296c93aea","target":"record","created_at":"2026-07-05T07:59:05Z","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":"e50a4685e2ab1e55364d7f8a87116cc8db30b6edb990f88fec0b94be6a984a87","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2024-02-11T18:24:25Z","title_canon_sha256":"7a46dcf7f1e5a48f3658c06a3dfa7e2a827b8c6d76a38814aa83fc7bd254d5e1"},"schema_version":"1.0","source":{"id":"2402.07269","kind":"arxiv","version":2}},"canonical_sha256":"43cb8f073f1d4bca54c1be5c202fc357a0eb14ca4658b7de5754e93e6fff8e34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43cb8f073f1d4bca54c1be5c202fc357a0eb14ca4658b7de5754e93e6fff8e34","first_computed_at":"2026-07-05T07:59:05.134873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:05.134873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YLoMi9laVNJ078TsXyRSEcWnKymbMprZkffXK9zV14FeZRtijWcU2pM2b/yZ18ysW3aGeeoJLn7h8PLTDUkECA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:05.135304Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.07269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d13a5bea95e5aacf6db4c52a7acd5b5111bd29131dafa842e65778296c93aea","sha256:538f92367797d69cd84aff39fbf0c72b326126f2bfe3fffea27e8cf379f55e8f"],"state_sha256":"57a079543fbd909669f0d2a15688bb49493034807d7050a97c1744ee3cf0d568"}