{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7PW4UHUB4DNQ3P2T24W6H6BT3H","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":"df05292984035d11ce0fbd12daebaddc08e98a3132ec5ead18ab73b20b71de56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-28T14:59:17Z","title_canon_sha256":"37f9a9cf26d9f690943c680707bb27edb28b7654df3f8a748828e940c8fc1649"},"schema_version":"1.0","source":{"id":"1805.10960","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10960","created_at":"2026-05-18T00:14:48Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10960v1","created_at":"2026-05-18T00:14:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10960","created_at":"2026-05-18T00:14:48Z"},{"alias_kind":"pith_short_12","alias_value":"7PW4UHUB4DNQ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7PW4UHUB4DNQ3P2T","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7PW4UHUB","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:416501ca2d477939d90c978ca45519a9226dbd05d310e8f6ea460ba5220c95af","target":"graph","created_at":"2026-05-18T00:14:48Z","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":"Embedding theorems have continued to be a topic of interest in the general theory of relativity since these help connect the classical theory to higher-dimensional manifolds. This paper deals with spacetimes of embedding class one, i.e., spacetimes that can be embedded in a five-dimensional flat spacetime. These ideas are applied to two diverse models, a complete solution for a charged wormhole admitting a one-parameter group of conformal motions and a new model to explain the flat rotation curves in spiral galaxies without the need for dark matter.","authors_text":"Peter K.F. Kuhfittig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-28T14:59:17Z","title":"Two diverse models of embedding class one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10960","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":"sha256:785ed8098a67489b7f65524993373a4c9b7bbc40d39bce7353463ca00479bd88","target":"record","created_at":"2026-05-18T00:14:48Z","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":"df05292984035d11ce0fbd12daebaddc08e98a3132ec5ead18ab73b20b71de56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-28T14:59:17Z","title_canon_sha256":"37f9a9cf26d9f690943c680707bb27edb28b7654df3f8a748828e940c8fc1649"},"schema_version":"1.0","source":{"id":"1805.10960","kind":"arxiv","version":1}},"canonical_sha256":"fbedca1e81e0db0dbf53d72de3f833d9cbfe6917890474476a777fc5cd8934bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbedca1e81e0db0dbf53d72de3f833d9cbfe6917890474476a777fc5cd8934bc","first_computed_at":"2026-05-18T00:14:48.676118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:48.676118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IKHFWI8DFkgxXBzaE/Az2dmGeF0vA1XbU6+WT64IhfCiqX15aEd08SmRREH1SEsP9KQ7zMPUgGnHHDw2RreTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:48.676784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10960","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:785ed8098a67489b7f65524993373a4c9b7bbc40d39bce7353463ca00479bd88","sha256:416501ca2d477939d90c978ca45519a9226dbd05d310e8f6ea460ba5220c95af"],"state_sha256":"fb01e4722d101b9fb5c2678aed5acbdf2c4e66b12006ff82de499605ad58ebcd"}