{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ACQALRKLXQQ7RZHODTRBUJ4UXA","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":"d0e4da88b28b08e3ba28e3548de9e4b2c62d48bc7302fcdd1835e4aea840aebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-18T14:37:11Z","title_canon_sha256":"7d83c303c330d8b495c3239f2c92ca9f013d3db705db9c8ff7cdd7a52d22724e"},"schema_version":"1.0","source":{"id":"1208.3749","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3749","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3749v5","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3749","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"ACQALRKLXQQ7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ACQALRKLXQQ7RZHO","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ACQALRKL","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:3251935d4b6e62f3cee273d15a967a4f761c1dc3f5055e97ef53f1c7183a0bb2","target":"graph","created_at":"2026-05-18T02:17:52Z","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 show that the Schwarzschild solution can be embedded in a class of nonstandard solutions of the vacuum Einstein's equations with arbitrary rotation curves. These nonstandard solutions have to be taken as physical if dark matter as needed in the standard theory cannot be found. As a consequence general relativity is considered as a classical field theory in Minkowski space and not as a geometric theory in the sense of Einstein.","authors_text":"G\\\"unter Scharf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-18T14:37:11Z","title":"Against geometry: Nonstandard general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3749","kind":"arxiv","version":5},"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:bf4ed1764112dd0b801303e9cac2119148a6551f37277d772d7a696e45f40e75","target":"record","created_at":"2026-05-18T02:17:52Z","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":"d0e4da88b28b08e3ba28e3548de9e4b2c62d48bc7302fcdd1835e4aea840aebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-18T14:37:11Z","title_canon_sha256":"7d83c303c330d8b495c3239f2c92ca9f013d3db705db9c8ff7cdd7a52d22724e"},"schema_version":"1.0","source":{"id":"1208.3749","kind":"arxiv","version":5}},"canonical_sha256":"00a005c54bbc21f8e4ee1ce21a2794b81826a609b1b59cacf3a51dfde17d0af3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00a005c54bbc21f8e4ee1ce21a2794b81826a609b1b59cacf3a51dfde17d0af3","first_computed_at":"2026-05-18T02:17:52.576442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:52.576442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s1MaDA0XG3JKNUaCxM2J/qEwCUmqW3jpI7gRBlhr6wp6KSP3Lomdk3J1YzffdeBceh6aiK+iCDVEO4VpxzqhDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:52.577151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3749","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf4ed1764112dd0b801303e9cac2119148a6551f37277d772d7a696e45f40e75","sha256:3251935d4b6e62f3cee273d15a967a4f761c1dc3f5055e97ef53f1c7183a0bb2"],"state_sha256":"f47ffe9d1e523d8b8926ec3bf59e1a8004430d35c6dd3bc1557b28fb73a47bbd"}