{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2JB6KWXQX5JIJWPQV23UZGEHTE","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":"3bad8338330a6fa23ecb751b38a7c33a71f035dd2242c872010207ab46fdc431","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-08T10:42:32Z","title_canon_sha256":"4e998f46661cef92c6ce990dcac115d932adac720d5599fbdf404c93917719fe"},"schema_version":"1.0","source":{"id":"1406.1968","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1968","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1968v4","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1968","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"2JB6KWXQX5JI","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2JB6KWXQX5JIJWPQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2JB6KWXQ","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:9276fb4714a2436717fd5caff94a07d4b99a26eac38ec58adbf247810e204f73","target":"graph","created_at":"2026-05-18T01:19:35Z","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":"Introducing the well known Papapetrou field as the gravitoelectromagnetic field tensor, we express the Maxwell-type part of the 3-dimensional quasi-Maxwell form of the {\\it vacuum} Einstein field equations in terms of differential forms, analogous to their electromagnetic counterparts in curved spacetimes. Using the same formalism we introduce the junction conditions on non-null hypersurfaces in terms of the introduced gravitoelectromagnetic 4-vector fields and apply them to the case of the Van Stockum interior and exterior solutions.","authors_text":"A. Parvizi, M. Nouri-Zonoz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-08T10:42:32Z","title":"Papapetrou field as the gravitoelectromagnetic field tensor in stationary spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1968","kind":"arxiv","version":4},"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":"sha256:8c400b42880db2d6158b7d8939b963866aee42538d6a520d135b6c47d81a32f3","target":"record","created_at":"2026-05-18T01:19:35Z","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":"3bad8338330a6fa23ecb751b38a7c33a71f035dd2242c872010207ab46fdc431","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-08T10:42:32Z","title_canon_sha256":"4e998f46661cef92c6ce990dcac115d932adac720d5599fbdf404c93917719fe"},"schema_version":"1.0","source":{"id":"1406.1968","kind":"arxiv","version":4}},"canonical_sha256":"d243e55af0bf5284d9f0aeb74c9887992e94231d41f450483f20e77705d255e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d243e55af0bf5284d9f0aeb74c9887992e94231d41f450483f20e77705d255e6","first_computed_at":"2026-05-18T01:19:35.475144Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:35.475144Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"15Rtkkh/J2RVeMwjSOZLzIL9/9lTACT+NMJMdtLSajWhBA8sGXt3f35tpUtyiK0PFXgP4/oD5lsXyZSe4F6BBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:35.475667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1968","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c400b42880db2d6158b7d8939b963866aee42538d6a520d135b6c47d81a32f3","sha256:9276fb4714a2436717fd5caff94a07d4b99a26eac38ec58adbf247810e204f73"],"state_sha256":"c1a3b6df768ad208fd11d5c4dd0203f0189beeae0b87313f0646a4c823c710f7"}