{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HO2HKMQMDV7TLWPFBRM737G5GS","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":"d0d08912745ef4356e64f9ea251a7984524091cbcb5e47db284a95b20fafa0da","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T16:42:19Z","title_canon_sha256":"255f53578b7923889266bc9f2fd63af7e2e3261983f33e1a1d2454f4ded21278"},"schema_version":"1.0","source":{"id":"1112.6143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6143","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6143v1","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6143","created_at":"2026-05-18T01:31:04Z"},{"alias_kind":"pith_short_12","alias_value":"HO2HKMQMDV7T","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HO2HKMQMDV7TLWPF","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HO2HKMQM","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:50ab12a3fea201aaf46ace5bbbd93c3dca40c962c38c3bf78bbb3a46243e80fb","target":"graph","created_at":"2026-05-18T01:31:04Z","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 correct a mistake in Shen Yibing, Yu Yaoyong, On Projectively Related Randers Metrics, International Journal of Mathematics 19}(2008), no. 5, 503--520, and prove the natural generalization of the projective Lichnerowicz-Obata conjecture for Randers metrics.","authors_text":"Vladimir S. Matveev","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T16:42:19Z","title":"On projective equivalence and pointwise projective relation of Randers metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6143","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:ef55a185595370012fe1fbd03d2205c03f8df94d5f24add30e21f1c18399f902","target":"record","created_at":"2026-05-18T01:31:04Z","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":"d0d08912745ef4356e64f9ea251a7984524091cbcb5e47db284a95b20fafa0da","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T16:42:19Z","title_canon_sha256":"255f53578b7923889266bc9f2fd63af7e2e3261983f33e1a1d2454f4ded21278"},"schema_version":"1.0","source":{"id":"1112.6143","kind":"arxiv","version":1}},"canonical_sha256":"3bb475320c1d7f35d9e50c59fdfcdd34ab97cdcb50fda602ee2e7f7e36f7da29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bb475320c1d7f35d9e50c59fdfcdd34ab97cdcb50fda602ee2e7f7e36f7da29","first_computed_at":"2026-05-18T01:31:04.169716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:04.169716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kg1YjOZdCE/x5uvPQFv7rwDzg6M5k3nJHXc4khhg6+dLG1zOmkJqlvQkQqf+JW6P71LOaiwrqajtP6YJWEYvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:04.170327Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef55a185595370012fe1fbd03d2205c03f8df94d5f24add30e21f1c18399f902","sha256:50ab12a3fea201aaf46ace5bbbd93c3dca40c962c38c3bf78bbb3a46243e80fb"],"state_sha256":"2731783b70d25e298be056fed48743831cfb3b476bfa77f134cde4c1f90c50c9"}