{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G3LQLX2WNAHSFMIPHTTREYWQCH","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":"0b03b96aed2f4720b9fb7a12ebacb9ff5ce1ddfcab4ce447bcda2ad21d639075","cross_cats_sorted":["math-ph","math.MG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-31T14:25:59Z","title_canon_sha256":"25b74c7b7dffe07775bd4ece4b25f74046886ab957ca1faefc63f5f04ee13b34"},"schema_version":"1.0","source":{"id":"1705.11111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.11111","created_at":"2026-05-18T00:42:50Z"},{"alias_kind":"arxiv_version","alias_value":"1705.11111v2","created_at":"2026-05-18T00:42:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.11111","created_at":"2026-05-18T00:42:50Z"},{"alias_kind":"pith_short_12","alias_value":"G3LQLX2WNAHS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G3LQLX2WNAHSFMIP","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G3LQLX2W","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:37581999ac8934fb11abfc24b4be781afc825287b5e53df17f234817e1b8841b","target":"graph","created_at":"2026-05-18T00:42:50Z","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 this essay, we study the sufficient and necessary conditions for a Randers metrc to be of constant Ricci curvature without the restriction of strong convexity (regularity). The classification result for the case $\\|\\beta\\|_{\\alpha}>1$ is provided, which is similar to the famous Bao-Robles-Shen's result for strongly convex Randers metrics ($\\|\\beta\\|_{\\alpha}<1$).\n  Based on some famous Einstein-Lorentz metrics in General Relativity, such as Minkowski metric, Sitter metric, anti de Sitter metric, Schwarzschild metric, Kerr metric, C-metric, Kasner metric, Levi-Civita metric, Cartor-Novotn\\'{","authors_text":"Changtao Yu, Xiaoyun Tang","cross_cats":["math-ph","math.MG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-31T14:25:59Z","title":"Some remarks on Einstein-Randers metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11111","kind":"arxiv","version":2},"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":"sha256:83a68ccbd728fd9c559d5756762e00fd762d6b85df09812d0cbea2c0b0f4b66c","target":"record","created_at":"2026-05-18T00:42:50Z","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":"0b03b96aed2f4720b9fb7a12ebacb9ff5ce1ddfcab4ce447bcda2ad21d639075","cross_cats_sorted":["math-ph","math.MG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-31T14:25:59Z","title_canon_sha256":"25b74c7b7dffe07775bd4ece4b25f74046886ab957ca1faefc63f5f04ee13b34"},"schema_version":"1.0","source":{"id":"1705.11111","kind":"arxiv","version":2}},"canonical_sha256":"36d705df56680f22b10f3ce71262d011ebefea34818a05d609b2f8112ab10c50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36d705df56680f22b10f3ce71262d011ebefea34818a05d609b2f8112ab10c50","first_computed_at":"2026-05-18T00:42:50.961879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:50.961879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0HXrisgw8Irs5Dq3/QonsRI0gJV51Gb5ioyiOsOZwPy1gT/45SxP6ECk6rjrw/11Q3F2aW7p93wBes8hRxWpAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:50.962556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.11111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83a68ccbd728fd9c559d5756762e00fd762d6b85df09812d0cbea2c0b0f4b66c","sha256:37581999ac8934fb11abfc24b4be781afc825287b5e53df17f234817e1b8841b"],"state_sha256":"15a2efae965fe8baeb50812a506623f1af8bafc88cb28d8feefda2b48c8173da"}