{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P5I2VPSM6MBG6QKLRYKPET5RZE","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":"b722cdba881e1dcdcee1a031bd61a5644e20d6416eb34c50d35b52a4efb688f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-26T10:57:16Z","title_canon_sha256":"5f5b3a50c3a4c255b52822012942b1f1dbf5be67ed768f14e25a3a0f3ab4e3b9"},"schema_version":"1.0","source":{"id":"1411.7172","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7172","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7172v3","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7172","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"P5I2VPSM6MBG","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5I2VPSM6MBG6QKL","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5I2VPSM","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:46144565339b1f5993264114e20694e54338e38571e815540d5def9741a66441","target":"graph","created_at":"2026-05-18T00:37:37Z","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":"In his 1910 \"Five Variables\" paper, Cartan solved the equivalence problem for the geometry of $(2, 3, 5)$ distributions and in doing so demonstrated an intimate link between this geometry and the exceptional simple Lie groups of type $\\textrm{G}_2$. He claimed to produce a local classification of all such (complex) distributions which have infinitesimal symmetry algebra of dimension at least $6$ (and which satisfy a natural uniformity condition), but in 2013 Doubrov and Govorov showed that this classification misses a particular distribution $\\bf E$. We produce a closed form for the Fefferman-","authors_text":"Travis Willse","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-26T10:57:16Z","title":"Cartan's incomplete classification and an explicit ambient metric of holonomy $\\mathrm{G}_2^*$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7172","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":"sha256:3c6eff4d22696456b6868914079d912845bb71d0ad60cd4c70380e0f3282f1e2","target":"record","created_at":"2026-05-18T00:37:37Z","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":"b722cdba881e1dcdcee1a031bd61a5644e20d6416eb34c50d35b52a4efb688f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-26T10:57:16Z","title_canon_sha256":"5f5b3a50c3a4c255b52822012942b1f1dbf5be67ed768f14e25a3a0f3ab4e3b9"},"schema_version":"1.0","source":{"id":"1411.7172","kind":"arxiv","version":3}},"canonical_sha256":"7f51aabe4cf3026f414b8e14f24fb1c92d7c2f90e00aecf020629b34e70d133e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f51aabe4cf3026f414b8e14f24fb1c92d7c2f90e00aecf020629b34e70d133e","first_computed_at":"2026-05-18T00:37:37.075029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:37.075029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GuWLwwwBhs5LhDTv+PrgM7S1xNHPpx81TeHs6Y0qF72TUm3M1FwaQqizZtcOjmmWmQaADL0t3qRsWeoz9ikHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:37.075764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7172","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c6eff4d22696456b6868914079d912845bb71d0ad60cd4c70380e0f3282f1e2","sha256:46144565339b1f5993264114e20694e54338e38571e815540d5def9741a66441"],"state_sha256":"0c45e80e8b3dda6e958d5a64a7305d831a35f728ccc1c04f11af0b8a8310c7cb"}