{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JVR5UNNDRDWQKKVSZKR7F5BCXY","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":"c6e3cd89c5a727009516cce23d0c905e7b4a3444defa5ce3474187ad1a514582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-21T08:37:51Z","title_canon_sha256":"97350a29ba6bfe8e0b4071413939710ab9aa351a2d0a3329dae9ae87c51ce76c"},"schema_version":"1.0","source":{"id":"1203.4676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4676","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4676v1","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4676","created_at":"2026-05-18T03:59:37Z"},{"alias_kind":"pith_short_12","alias_value":"JVR5UNNDRDWQ","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JVR5UNNDRDWQKKVS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JVR5UNND","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:b5b6a7b920714952519ebd67a38feb7edc5ecafad4b81524d57125819c0a7f20","target":"graph","created_at":"2026-05-18T03:59:37Z","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":"We give a positive answer to the Chavel's conjecture [J. Diff. Geom. 4 (1970), 13-20]: a simply connected rank one normal homogeneous space is symmetric if any pair of conjugate points are isotropic. It implies that all simply connected rank one normal homogeneous space with the property that the isotropy action is variational complete is a rank one symmetric space.","authors_text":"A. M. Naveira, J. C. Gonz\\'alez-D\\'avila","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-21T08:37:51Z","title":"Existence of non-isotropic conjugate points on rank one normal homogeneous spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4676","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":"sha256:83981c0f62210fe700706ed3737f2572fbc30d50a67d29cfa6c9b6a7c794977c","target":"record","created_at":"2026-05-18T03:59:37Z","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":"c6e3cd89c5a727009516cce23d0c905e7b4a3444defa5ce3474187ad1a514582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-21T08:37:51Z","title_canon_sha256":"97350a29ba6bfe8e0b4071413939710ab9aa351a2d0a3329dae9ae87c51ce76c"},"schema_version":"1.0","source":{"id":"1203.4676","kind":"arxiv","version":1}},"canonical_sha256":"4d63da35a388ed052ab2caa3f2f422be208d570da560ca3b20b37dd8883e7fa0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d63da35a388ed052ab2caa3f2f422be208d570da560ca3b20b37dd8883e7fa0","first_computed_at":"2026-05-18T03:59:37.486133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:37.486133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I19c0rDP+LDDHqe4aaPbvGd5L/vOt257tPkxDqwVrnTr3DffrS4fHrl6MTE9Jj7jF/iOmSAzDEgxCNxQMalrBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:37.486785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83981c0f62210fe700706ed3737f2572fbc30d50a67d29cfa6c9b6a7c794977c","sha256:b5b6a7b920714952519ebd67a38feb7edc5ecafad4b81524d57125819c0a7f20"],"state_sha256":"b8734352c885f69cc2b8bac363663651050fb8a774cc0bb32035a04f9fca0d14"}