{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3PBK46DPYMBINBJT53FB2GRHF3","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":"7749b12942fcc3982d6302e554def76a646d3aa5fe2ebed1dd9a8f79312c8c89","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-05-26T08:59:27Z","title_canon_sha256":"ff6fe765d2f1a669430bb5ab8d21efe36e11ff2bec8539227ed5f5b7a75ca4f9"},"schema_version":"1.0","source":{"id":"1805.10450","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10450","created_at":"2026-05-18T00:14:52Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10450v1","created_at":"2026-05-18T00:14:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10450","created_at":"2026-05-18T00:14:52Z"},{"alias_kind":"pith_short_12","alias_value":"3PBK46DPYMBI","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3PBK46DPYMBINBJT","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3PBK46DP","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:0aacc0f33b8180b344ad4f0f15261a3f126b7fc6b42f2bfd99dda01d4dd9421b","target":"graph","created_at":"2026-05-18T00:14:52Z","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 provide a Lax pair for the surfaces of Voss and Guichard, and we show that such particular surfaces considered by Gambier are characterized by a third Painlev\\'e function.","authors_text":"Beijing), CNRS, Robert Conte (ENS Cachan, Runliang Lin (Tsinghua, U Paris-Saclay)","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-05-26T08:59:27Z","title":"On a surface isolated by Gambier"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10450","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":"sha256:5626f3c90b7060eb38c40372549223719238bbb023ca9456ebc05b6311111076","target":"record","created_at":"2026-05-18T00:14:52Z","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":"7749b12942fcc3982d6302e554def76a646d3aa5fe2ebed1dd9a8f79312c8c89","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-05-26T08:59:27Z","title_canon_sha256":"ff6fe765d2f1a669430bb5ab8d21efe36e11ff2bec8539227ed5f5b7a75ca4f9"},"schema_version":"1.0","source":{"id":"1805.10450","kind":"arxiv","version":1}},"canonical_sha256":"dbc2ae786fc302868533eeca1d1a272ef4b9a40e8e079921e4d524a8dcc14db8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbc2ae786fc302868533eeca1d1a272ef4b9a40e8e079921e4d524a8dcc14db8","first_computed_at":"2026-05-18T00:14:52.467556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:52.467556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NDQShvB+SMXpIKTwe8OHzWRIwwAk6nsZmIrA1e93+j4g2ERyVqt6WiFqPCkp2XsGE+y0Z79vJJ0bEql7RgVWCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:52.468609Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10450","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5626f3c90b7060eb38c40372549223719238bbb023ca9456ebc05b6311111076","sha256:0aacc0f33b8180b344ad4f0f15261a3f126b7fc6b42f2bfd99dda01d4dd9421b"],"state_sha256":"6c8d40d76873257896b7f799a7fa991b7e0debb3f6f6be024476d75e7ca22754"}