{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:LL6O6RGISBD3CXHATVOXH6L7FV","short_pith_number":"pith:LL6O6RGI","canonical_record":{"source":{"id":"nlin/0701049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2007-01-24T12:13:20Z","cross_cats_sorted":[],"title_canon_sha256":"6fa968d9617c6d477f070cd23683149d616bf4fb9f77dc5db6527d1fc427534d","abstract_canon_sha256":"d1ab1148d40c537853fbebfd871c252c1f88ebec61141619bee9f17f80514c51"},"schema_version":"1.0"},"canonical_sha256":"5afcef44c89047b15ce09d5d73f97f2d6e338279aacecedbe31834311c8f5d2f","source":{"kind":"arxiv","id":"nlin/0701049","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0701049","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0701049v1","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0701049","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"LL6O6RGISBD3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LL6O6RGISBD3CXHA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LL6O6RGI","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:LL6O6RGISBD3CXHATVOXH6L7FV","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0701049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2007-01-24T12:13:20Z","cross_cats_sorted":[],"title_canon_sha256":"6fa968d9617c6d477f070cd23683149d616bf4fb9f77dc5db6527d1fc427534d","abstract_canon_sha256":"d1ab1148d40c537853fbebfd871c252c1f88ebec61141619bee9f17f80514c51"},"schema_version":"1.0"},"canonical_sha256":"5afcef44c89047b15ce09d5d73f97f2d6e338279aacecedbe31834311c8f5d2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:02.423359Z","signature_b64":"rXoXDVjk8XvQIWZtXNFSZkYpWS2ofNP7D/Uo/gpnc8dzrTvKwfGWSMUkhhrfHWMJFKrrN8Qxxcpwu6NT/ZPDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5afcef44c89047b15ce09d5d73f97f2d6e338279aacecedbe31834311c8f5d2f","last_reissued_at":"2026-05-18T02:49:02.422887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:02.422887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0701049","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":"2026-05-18T02:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MShIIeF4zOyO/mk05P5PfrFd0ipTiHzfdSB/p9hP+1DO0irPyTH+/mYQUrNzRhJXygBihR9srSqAZGKX2C8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:22:00.901760Z"},"content_sha256":"0b19c6c104d10f7be21e49ff9d8a52d53a8d0ec704589b23fc36f01f93e6d620","schema_version":"1.0","event_id":"sha256:0b19c6c104d10f7be21e49ff9d8a52d53a8d0ec704589b23fc36f01f93e6d620"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:LL6O6RGISBD3CXHATVOXH6L7FV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Lax pairs of the sixth Painleve' equation","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Robert Conte","submitted_at":"2007-01-24T12:13:20Z","abstract_excerpt":"The dependence of the sixth equation of Painleve' on its four parameters $(2 \\alpha,-2 \\beta,2 \\gamma,1-2 \\delta) =(\\theta_{\\infty}^2,\\theta_{0}^2,\\theta_{1}^2,\\theta_{x}^2)$ is holomorphic, therefore one expects all its Lax pairs to display such a dependence. This is indeed the case of the second order scalar ``Lax'' pair of Fuchs, but the second order matrix Lax pair of Jimbo and Miwa presents a meromorphic dependence on $\\theta_\\infty$ (and a holomorphic dependence on the three other $\\theta_j$). We analyze the reason for this feature and make suggestions to suppress it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0701049","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":"2026-05-18T02:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zzrQAPXS2+VIID9HlJMTNoILYFVeabTvxvsExKbZViGTBUOMjTYEqenbunhEDRJH+H8bkADNMQgmzOZSwxaQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:22:00.902105Z"},"content_sha256":"8b6693e4c50b4a35892bc114e26463518fcca88c9b16770c7405d28612cff909","schema_version":"1.0","event_id":"sha256:8b6693e4c50b4a35892bc114e26463518fcca88c9b16770c7405d28612cff909"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LL6O6RGISBD3CXHATVOXH6L7FV/bundle.json","state_url":"https://pith.science/pith/LL6O6RGISBD3CXHATVOXH6L7FV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LL6O6RGISBD3CXHATVOXH6L7FV/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":"2026-06-23T16:22:00Z","links":{"resolver":"https://pith.science/pith/LL6O6RGISBD3CXHATVOXH6L7FV","bundle":"https://pith.science/pith/LL6O6RGISBD3CXHATVOXH6L7FV/bundle.json","state":"https://pith.science/pith/LL6O6RGISBD3CXHATVOXH6L7FV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LL6O6RGISBD3CXHATVOXH6L7FV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:LL6O6RGISBD3CXHATVOXH6L7FV","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":"d1ab1148d40c537853fbebfd871c252c1f88ebec61141619bee9f17f80514c51","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-01-24T12:13:20Z","title_canon_sha256":"6fa968d9617c6d477f070cd23683149d616bf4fb9f77dc5db6527d1fc427534d"},"schema_version":"1.0","source":{"id":"nlin/0701049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0701049","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0701049v1","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0701049","created_at":"2026-05-18T02:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"LL6O6RGISBD3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LL6O6RGISBD3CXHA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LL6O6RGI","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:8b6693e4c50b4a35892bc114e26463518fcca88c9b16770c7405d28612cff909","target":"graph","created_at":"2026-05-18T02:49:02Z","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":"The dependence of the sixth equation of Painleve' on its four parameters $(2 \\alpha,-2 \\beta,2 \\gamma,1-2 \\delta) =(\\theta_{\\infty}^2,\\theta_{0}^2,\\theta_{1}^2,\\theta_{x}^2)$ is holomorphic, therefore one expects all its Lax pairs to display such a dependence. This is indeed the case of the second order scalar ``Lax'' pair of Fuchs, but the second order matrix Lax pair of Jimbo and Miwa presents a meromorphic dependence on $\\theta_\\infty$ (and a holomorphic dependence on the three other $\\theta_j$). We analyze the reason for this feature and make suggestions to suppress it.","authors_text":"Robert Conte","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2007-01-24T12:13:20Z","title":"On the Lax pairs of the sixth Painleve' equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0701049","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":"sha256:0b19c6c104d10f7be21e49ff9d8a52d53a8d0ec704589b23fc36f01f93e6d620","target":"record","created_at":"2026-05-18T02:49:02Z","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":"d1ab1148d40c537853fbebfd871c252c1f88ebec61141619bee9f17f80514c51","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2007-01-24T12:13:20Z","title_canon_sha256":"6fa968d9617c6d477f070cd23683149d616bf4fb9f77dc5db6527d1fc427534d"},"schema_version":"1.0","source":{"id":"nlin/0701049","kind":"arxiv","version":1}},"canonical_sha256":"5afcef44c89047b15ce09d5d73f97f2d6e338279aacecedbe31834311c8f5d2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5afcef44c89047b15ce09d5d73f97f2d6e338279aacecedbe31834311c8f5d2f","first_computed_at":"2026-05-18T02:49:02.422887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:02.422887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rXoXDVjk8XvQIWZtXNFSZkYpWS2ofNP7D/Uo/gpnc8dzrTvKwfGWSMUkhhrfHWMJFKrrN8Qxxcpwu6NT/ZPDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:02.423359Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0701049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b19c6c104d10f7be21e49ff9d8a52d53a8d0ec704589b23fc36f01f93e6d620","sha256:8b6693e4c50b4a35892bc114e26463518fcca88c9b16770c7405d28612cff909"],"state_sha256":"f17c5bc746a3bb7a75f5040524ac3fb74bb56a412b63ab90770dfc2667c43535"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oxl28NX2/nP9eZrlZmEclFXFozXGbJspYGUpCFMbP53662H7L/5QwFLa2blajBlPM1fb6qqQOJaERffiTQgvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:22:00.904139Z","bundle_sha256":"c9f1009cfc56f72591cd7aec877f3e927c6a3ef9a12e5869f13eb2eca133b392"}}