{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q3CTAB4P7KIAOEGW2WAGQAAZTY","short_pith_number":"pith:Q3CTAB4P","canonical_record":{"source":{"id":"1209.3836","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-18T03:34:20Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"d3ac97f73a3032961a7543cd21794962e96e1260c19cbd6b7fc1ac18ede39374","abstract_canon_sha256":"036673f5f6bb068fe92c379ca7c19547ea599d1d2f41b95e33f04b069052450c"},"schema_version":"1.0"},"canonical_sha256":"86c530078ffa900710d6d5806800199e2b34472c2ba87fe9f8e782d2014de1af","source":{"kind":"arxiv","id":"1209.3836","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3836","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3836v3","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3836","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"pith_short_12","alias_value":"Q3CTAB4P7KIA","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q3CTAB4P7KIAOEGW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q3CTAB4P","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q3CTAB4P7KIAOEGW2WAGQAAZTY","target":"record","payload":{"canonical_record":{"source":{"id":"1209.3836","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-18T03:34:20Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"d3ac97f73a3032961a7543cd21794962e96e1260c19cbd6b7fc1ac18ede39374","abstract_canon_sha256":"036673f5f6bb068fe92c379ca7c19547ea599d1d2f41b95e33f04b069052450c"},"schema_version":"1.0"},"canonical_sha256":"86c530078ffa900710d6d5806800199e2b34472c2ba87fe9f8e782d2014de1af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:55.589441Z","signature_b64":"c0GNTYAnkuZBqEjIBUGp5Jwiw9jSCKtZRvLVei56ybl3rj3zw7W4FL9zb1kx+e8vgn7xr8A8mi6BQjVlZS0nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86c530078ffa900710d6d5806800199e2b34472c2ba87fe9f8e782d2014de1af","last_reissued_at":"2026-05-18T01:09:55.588818Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:55.588818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.3836","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":"2026-05-18T01:09:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AlIMHfZ0JPAIDAdIceBcylL2ysTL1L9sKzVBCq2eY6IBtBdYYkSHantMUI6TnPTPHghkLdZr1HDTBkwsKji8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:52:43.928909Z"},"content_sha256":"8cd5791f0f9d2ad15f84163b8980d622641f1f29eab9e5516e8b3edbb38f9617","schema_version":"1.0","event_id":"sha256:8cd5791f0f9d2ad15f84163b8980d622641f1f29eab9e5516e8b3edbb38f9617"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q3CTAB4P7KIAOEGW2WAGQAAZTY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degeneration scheme of 4-dimensional Painlev\\'e-type equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.CA","authors_text":"Akane Nakamura, Hidetaka Sakai, Hiroshi Kawakami","submitted_at":"2012-09-18T03:34:20Z","abstract_excerpt":"Four 4-dimensional Painlev\\'e-type equations are obtained by isomonodromic deformation of Fuchsian equations: they are the Garnier system in two variables, the Fuji-Suzuki system, the Sasano system, and the sixth matrix Painlev\\'e system. Degenerating these four source equations, we systematically obtained other 4-dimensional Painlev\\'e-type equations. If we only consider Painlev\\'e-type equations whose associated linear equations are of unramified type, there are 22 types of 4-dimensional Painlev\\'e-type equations: 9 of them are partial differential equations, 13 of them are ordinary differen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3836","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":"2026-05-18T01:09:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uAswMKssUJ7MntwQwF7uAZFEKNwsPKUlEliWSg9itBTe47GCgVH/vr2NoMBZ0yyhRxfFS3BzNejMuvQpUl50Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:52:43.929257Z"},"content_sha256":"ab4ceed39d52dac7cf1605d11488ab87e4b7d45f34477f33e749fb02f0a04580","schema_version":"1.0","event_id":"sha256:ab4ceed39d52dac7cf1605d11488ab87e4b7d45f34477f33e749fb02f0a04580"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/bundle.json","state_url":"https://pith.science/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/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":"2026-06-22T09:52:43Z","links":{"resolver":"https://pith.science/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY","bundle":"https://pith.science/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/bundle.json","state":"https://pith.science/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3CTAB4P7KIAOEGW2WAGQAAZTY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q3CTAB4P7KIAOEGW2WAGQAAZTY","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":"036673f5f6bb068fe92c379ca7c19547ea599d1d2f41b95e33f04b069052450c","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-18T03:34:20Z","title_canon_sha256":"d3ac97f73a3032961a7543cd21794962e96e1260c19cbd6b7fc1ac18ede39374"},"schema_version":"1.0","source":{"id":"1209.3836","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3836","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3836v3","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3836","created_at":"2026-05-18T01:09:55Z"},{"alias_kind":"pith_short_12","alias_value":"Q3CTAB4P7KIA","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q3CTAB4P7KIAOEGW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q3CTAB4P","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ab4ceed39d52dac7cf1605d11488ab87e4b7d45f34477f33e749fb02f0a04580","target":"graph","created_at":"2026-05-18T01:09:55Z","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":"Four 4-dimensional Painlev\\'e-type equations are obtained by isomonodromic deformation of Fuchsian equations: they are the Garnier system in two variables, the Fuji-Suzuki system, the Sasano system, and the sixth matrix Painlev\\'e system. Degenerating these four source equations, we systematically obtained other 4-dimensional Painlev\\'e-type equations. If we only consider Painlev\\'e-type equations whose associated linear equations are of unramified type, there are 22 types of 4-dimensional Painlev\\'e-type equations: 9 of them are partial differential equations, 13 of them are ordinary differen","authors_text":"Akane Nakamura, Hidetaka Sakai, Hiroshi Kawakami","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-18T03:34:20Z","title":"Degeneration scheme of 4-dimensional Painlev\\'e-type equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3836","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":"sha256:8cd5791f0f9d2ad15f84163b8980d622641f1f29eab9e5516e8b3edbb38f9617","target":"record","created_at":"2026-05-18T01:09:55Z","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":"036673f5f6bb068fe92c379ca7c19547ea599d1d2f41b95e33f04b069052450c","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-09-18T03:34:20Z","title_canon_sha256":"d3ac97f73a3032961a7543cd21794962e96e1260c19cbd6b7fc1ac18ede39374"},"schema_version":"1.0","source":{"id":"1209.3836","kind":"arxiv","version":3}},"canonical_sha256":"86c530078ffa900710d6d5806800199e2b34472c2ba87fe9f8e782d2014de1af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86c530078ffa900710d6d5806800199e2b34472c2ba87fe9f8e782d2014de1af","first_computed_at":"2026-05-18T01:09:55.588818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:55.588818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c0GNTYAnkuZBqEjIBUGp5Jwiw9jSCKtZRvLVei56ybl3rj3zw7W4FL9zb1kx+e8vgn7xr8A8mi6BQjVlZS0nBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:55.589441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3836","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cd5791f0f9d2ad15f84163b8980d622641f1f29eab9e5516e8b3edbb38f9617","sha256:ab4ceed39d52dac7cf1605d11488ab87e4b7d45f34477f33e749fb02f0a04580"],"state_sha256":"40d57cedd63d45a900dc2b05fee3a4870dfd949f31047cc46de5e39eeda146c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zh1YmcvWZ5KS38nQAdHI34w2MxLAukSJQh2p0ZJ+yNTEySC3V/Jy2lTsEE/Agk07J0KaxVvsv3f/wd2smcaCBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:52:43.931376Z","bundle_sha256":"15a5cf494c611b80a1cb74fa5235c740e64bc6049bef03f0dfd0c01bc254f5f5"}}