{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XDBD2BZFKU4LAP3Z7LHXTGJZHB","short_pith_number":"pith:XDBD2BZF","canonical_record":{"source":{"id":"1109.1645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-09-08T07:42:48Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0d46b4d823ecb8eb020a6dc3b137547373cbb8429f59cb7efe6cbb1776752418","abstract_canon_sha256":"d6e0ea442441637208d00a427b1dd7ce2676198a94e039a46dbd871d00e69384"},"schema_version":"1.0"},"canonical_sha256":"b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473","source":{"kind":"arxiv","id":"1109.1645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1645","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1645v1","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1645","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"pith_short_12","alias_value":"XDBD2BZFKU4L","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XDBD2BZFKU4LAP3Z","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XDBD2BZF","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XDBD2BZFKU4LAP3Z7LHXTGJZHB","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-09-08T07:42:48Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0d46b4d823ecb8eb020a6dc3b137547373cbb8429f59cb7efe6cbb1776752418","abstract_canon_sha256":"d6e0ea442441637208d00a427b1dd7ce2676198a94e039a46dbd871d00e69384"},"schema_version":"1.0"},"canonical_sha256":"b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:54.714008Z","signature_b64":"h9UapFFZZ2bXpK2pcAE6FnvAL4kbfxNkgY9lWTYt6JTP4LMgmNeiAELxHa5XNWe0okyh1OxswcsZfKYvwyoFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473","last_reissued_at":"2026-05-18T04:13:54.713491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:54.713491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1645","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":"2026-05-18T04:13:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HmwiW99BPBJiw9mEnpGqhdQc4UzAf8a3harBBcNUNjEzubK68y/iorkbS3GNsQxJMMehDH1Y95bLFjUCzZA0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:01:51.276445Z"},"content_sha256":"e499904577131a39b8f0e647f9b44a3aaddf28c870209a012535bbb332117dbb","schema_version":"1.0","event_id":"sha256:e499904577131a39b8f0e647f9b44a3aaddf28c870209a012535bbb332117dbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XDBD2BZFKU4LAP3Z7LHXTGJZHB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypergeometric solutions to Schr\\\"odinger equations for the quantum Painlev\\'e equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Hajime Nagoya","submitted_at":"2011-09-08T07:42:48Z","abstract_excerpt":"We consider Schr\\\"odinger equations for the quantum Painlev\\'e equations. We present hypergeometric solutions of the Schr\\\"odinger equations for the quantum Painlev\\'e equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schr\\\"odinger equations for the quantum Painlev\\'e equations and those of the KZ equation or the confluent KZ equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1645","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":"2026-05-18T04:13:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8S4p5OtY1CRFxVOP/31+HGnw0RrTpFmSun4Q+vAmiAQcQDxCyy56ej60rJKCalR+GlMv4iWz2vMO7iV4JX+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:01:51.277199Z"},"content_sha256":"fe8da1eb998077a71f2fb4853fdf1ddf257dfd72cb75840e65cddb5cbeb7896f","schema_version":"1.0","event_id":"sha256:fe8da1eb998077a71f2fb4853fdf1ddf257dfd72cb75840e65cddb5cbeb7896f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/bundle.json","state_url":"https://pith.science/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/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":"2026-05-30T20:01:51Z","links":{"resolver":"https://pith.science/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB","bundle":"https://pith.science/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/bundle.json","state":"https://pith.science/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDBD2BZFKU4LAP3Z7LHXTGJZHB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XDBD2BZFKU4LAP3Z7LHXTGJZHB","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":"d6e0ea442441637208d00a427b1dd7ce2676198a94e039a46dbd871d00e69384","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-09-08T07:42:48Z","title_canon_sha256":"0d46b4d823ecb8eb020a6dc3b137547373cbb8429f59cb7efe6cbb1776752418"},"schema_version":"1.0","source":{"id":"1109.1645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1645","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1645v1","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1645","created_at":"2026-05-18T04:13:54Z"},{"alias_kind":"pith_short_12","alias_value":"XDBD2BZFKU4L","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XDBD2BZFKU4LAP3Z","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XDBD2BZF","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:fe8da1eb998077a71f2fb4853fdf1ddf257dfd72cb75840e65cddb5cbeb7896f","target":"graph","created_at":"2026-05-18T04:13:54Z","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 consider Schr\\\"odinger equations for the quantum Painlev\\'e equations. We present hypergeometric solutions of the Schr\\\"odinger equations for the quantum Painlev\\'e equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schr\\\"odinger equations for the quantum Painlev\\'e equations and those of the KZ equation or the confluent KZ equations.","authors_text":"Hajime Nagoya","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-09-08T07:42:48Z","title":"Hypergeometric solutions to Schr\\\"odinger equations for the quantum Painlev\\'e equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1645","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:e499904577131a39b8f0e647f9b44a3aaddf28c870209a012535bbb332117dbb","target":"record","created_at":"2026-05-18T04:13:54Z","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":"d6e0ea442441637208d00a427b1dd7ce2676198a94e039a46dbd871d00e69384","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-09-08T07:42:48Z","title_canon_sha256":"0d46b4d823ecb8eb020a6dc3b137547373cbb8429f59cb7efe6cbb1776752418"},"schema_version":"1.0","source":{"id":"1109.1645","kind":"arxiv","version":1}},"canonical_sha256":"b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473","first_computed_at":"2026-05-18T04:13:54.713491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:54.713491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h9UapFFZZ2bXpK2pcAE6FnvAL4kbfxNkgY9lWTYt6JTP4LMgmNeiAELxHa5XNWe0okyh1OxswcsZfKYvwyoFBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:54.714008Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e499904577131a39b8f0e647f9b44a3aaddf28c870209a012535bbb332117dbb","sha256:fe8da1eb998077a71f2fb4853fdf1ddf257dfd72cb75840e65cddb5cbeb7896f"],"state_sha256":"c409fbe920d3cccb60a44c73b3df48ac14640a45e98a62f24a4e89f63fc30438"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9y4WBF+7ii8Y8u6WaaFhZazRTfCTgJ8O2RXst+Cu9sPuPA/hQhotQwM4cP0ZMi9XevdjmL72OL7EWr4U+WMgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:01:51.281206Z","bundle_sha256":"e5ec84e9a1bd1d5a41a6344cefc8320739e40a62569757985cea298e222edcf5"}}