{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZLKKNIKTC43OEX3LLJSBXUCJTR","short_pith_number":"pith:ZLKKNIKT","canonical_record":{"source":{"id":"1507.06557","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2015-07-23T16:44:40Z","cross_cats_sorted":["math.AP","math.CA","math.MP","nlin.SI"],"title_canon_sha256":"25533cad742288e3df5f4e85ccb9504c1e7ca849598adb89ef574058218c1473","abstract_canon_sha256":"381019a2e236ec5b5fce640ead86fb0998e6638595bf22b8243be56bdf81a2bd"},"schema_version":"1.0"},"canonical_sha256":"cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba","source":{"kind":"arxiv","id":"1507.06557","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06557","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06557v3","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06557","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZLKKNIKTC43O","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLKKNIKTC43OEX3L","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLKKNIKT","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZLKKNIKTC43OEX3LLJSBXUCJTR","target":"record","payload":{"canonical_record":{"source":{"id":"1507.06557","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2015-07-23T16:44:40Z","cross_cats_sorted":["math.AP","math.CA","math.MP","nlin.SI"],"title_canon_sha256":"25533cad742288e3df5f4e85ccb9504c1e7ca849598adb89ef574058218c1473","abstract_canon_sha256":"381019a2e236ec5b5fce640ead86fb0998e6638595bf22b8243be56bdf81a2bd"},"schema_version":"1.0"},"canonical_sha256":"cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:41.749446Z","signature_b64":"3dhlp8maVASVWv+QV5T8jdHuRUxZqPAQC+sl7FAbHVJDRCSnCn5amWYo6OrCjfXVbV0f5HqMzyxKDx8gaB4CBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba","last_reissued_at":"2026-05-18T01:21:41.748977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:41.748977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.06557","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhf9bcflslBo4ziOHBs/S5xHVxG53X2QkJsfESf2VPhGs/SkTvvquT6FemTzelT1JoA+GjNh8dzZL7xS4pK8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:06:49.457974Z"},"content_sha256":"1421fb65b7967acbcea1e3a76242eb08a829792c782a472415dace18339f632a","schema_version":"1.0","event_id":"sha256:1421fb65b7967acbcea1e3a76242eb08a829792c782a472415dace18339f632a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZLKKNIKTC43OEX3LLJSBXUCJTR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Curve and the First Painlev\\'e Equation","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.AP","math.CA","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Axel Saenz, Kohei Iwaki","submitted_at":"2015-07-23T16:44:40Z","abstract_excerpt":"We show that the topological recursion for the (semi-classical) spectral curve of the first Painlev\\'e equation $P_{\\rm I}$ gives a WKB solution for the isomonodromy problem for $P_{\\rm I}$. In other words, the isomonodromy system is a quantum curve in the sense of [Dumitrescu O., Mulase M., Lett. Math. Phys. 104 (2014), 635-671, arXiv:1310.6022] and [Dumitrescu O., Mulase M., arXiv:1411.1023]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06557","kind":"arxiv","version":3},"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":"2026-05-18T01:21:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KdAGZdwYlMm3yG3oeFLZsxWnstX9se36otXXTeEYSPTM2CtWkp5p8HWu5RNtt1WqsRnjFSHhc3vrzRWIKsQLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T07:06:49.458325Z"},"content_sha256":"a41d2459de55b878973c525db9af3cff53c1e05ea8a97fd52d53cb3409b7a478","schema_version":"1.0","event_id":"sha256:a41d2459de55b878973c525db9af3cff53c1e05ea8a97fd52d53cb3409b7a478"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/bundle.json","state_url":"https://pith.science/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/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":"2026-06-26T07:06:49Z","links":{"resolver":"https://pith.science/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR","bundle":"https://pith.science/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/bundle.json","state":"https://pith.science/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLKKNIKTC43OEX3LLJSBXUCJTR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZLKKNIKTC43OEX3LLJSBXUCJTR","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":"381019a2e236ec5b5fce640ead86fb0998e6638595bf22b8243be56bdf81a2bd","cross_cats_sorted":["math.AP","math.CA","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2015-07-23T16:44:40Z","title_canon_sha256":"25533cad742288e3df5f4e85ccb9504c1e7ca849598adb89ef574058218c1473"},"schema_version":"1.0","source":{"id":"1507.06557","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06557","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06557v3","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06557","created_at":"2026-05-18T01:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZLKKNIKTC43O","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLKKNIKTC43OEX3L","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLKKNIKT","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:a41d2459de55b878973c525db9af3cff53c1e05ea8a97fd52d53cb3409b7a478","target":"graph","created_at":"2026-05-18T01:21:41Z","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 show that the topological recursion for the (semi-classical) spectral curve of the first Painlev\\'e equation $P_{\\rm I}$ gives a WKB solution for the isomonodromy problem for $P_{\\rm I}$. In other words, the isomonodromy system is a quantum curve in the sense of [Dumitrescu O., Mulase M., Lett. Math. Phys. 104 (2014), 635-671, arXiv:1310.6022] and [Dumitrescu O., Mulase M., arXiv:1411.1023].","authors_text":"Axel Saenz, Kohei Iwaki","cross_cats":["math.AP","math.CA","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2015-07-23T16:44:40Z","title":"Quantum Curve and the First Painlev\\'e Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06557","kind":"arxiv","version":3},"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":"sha256:1421fb65b7967acbcea1e3a76242eb08a829792c782a472415dace18339f632a","target":"record","created_at":"2026-05-18T01:21:41Z","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":"381019a2e236ec5b5fce640ead86fb0998e6638595bf22b8243be56bdf81a2bd","cross_cats_sorted":["math.AP","math.CA","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math-ph","submitted_at":"2015-07-23T16:44:40Z","title_canon_sha256":"25533cad742288e3df5f4e85ccb9504c1e7ca849598adb89ef574058218c1473"},"schema_version":"1.0","source":{"id":"1507.06557","kind":"arxiv","version":3}},"canonical_sha256":"cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba","first_computed_at":"2026-05-18T01:21:41.748977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:41.748977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3dhlp8maVASVWv+QV5T8jdHuRUxZqPAQC+sl7FAbHVJDRCSnCn5amWYo6OrCjfXVbV0f5HqMzyxKDx8gaB4CBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:41.749446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.06557","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1421fb65b7967acbcea1e3a76242eb08a829792c782a472415dace18339f632a","sha256:a41d2459de55b878973c525db9af3cff53c1e05ea8a97fd52d53cb3409b7a478"],"state_sha256":"61ac6c81df1150fec5d0ed2e1088e7e26a39f2bf79a42dc2c2a93ddaa78e220d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tcqiFyy8mLiuRHjoAZp9gSrbR+rFTs4OVCwL9msMrkzK70hQLDtbsc79Q158meKx1S4fVCQBi0TdpN3ERkBuBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T07:06:49.460191Z","bundle_sha256":"c622ff3811df35a2799743b4b534c5494d82786c3e341be0d8f6924c8a547c8e"}}