{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:D732DQ7IQSCWXUZVVYHU3NXWDI","short_pith_number":"pith:D732DQ7I","schema_version":"1.0","canonical_sha256":"1ff7a1c3e884856bd335ae0f4db6f61a1c5d4bf76120586bd885d66d1253c7bd","source":{"kind":"arxiv","id":"1503.06311","version":3},"attestation_state":"computed","paper":{"title":"Geometrization Conditions for Perfect Fluids, Scalar Fields, and Electromagnetic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"C. G. Torre, D. S. Krongos","submitted_at":"2015-03-21T15:30:27Z","abstract_excerpt":"Rainich-type conditions giving a spacetime \"geometrization\" of matter fields in general relativity are reviewed and extended. Three types of matter are considered: perfect fluids, scalar fields, and electromagnetic fields. Necessary and sufficient conditions on a spacetime metric for it to be part of a perfect fluid solution of the Einstein equations are given. Formulas for constructing the fluid from the metric are obtained. All fluid results hold for any spacetime dimension. Geometric conditions on a metric which are necessary and sufficient for it to define a solution of the Einstein-scalar"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.06311","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-21T15:30:27Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"c725736e9e21fee160495a4a861a2cc1c611252d44495eaed9edbc4c0adc44e9","abstract_canon_sha256":"cd37fec07e8900bf2ca5c1e73e08dbeaebb1a1e002f6621dbd44eeef569d17a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:33.667932Z","signature_b64":"eQxzCEEYcbkUF9cQYX8LwA556EEAAGz+7wx3OMsNVMFFOhH0nAgUUOpQOOfCAeHAijJpsU3Ar63AKWLL5ryVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ff7a1c3e884856bd335ae0f4db6f61a1c5d4bf76120586bd885d66d1253c7bd","last_reissued_at":"2026-05-18T01:36:33.667549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:33.667549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometrization Conditions for Perfect Fluids, Scalar Fields, and Electromagnetic Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"C. G. Torre, D. S. Krongos","submitted_at":"2015-03-21T15:30:27Z","abstract_excerpt":"Rainich-type conditions giving a spacetime \"geometrization\" of matter fields in general relativity are reviewed and extended. Three types of matter are considered: perfect fluids, scalar fields, and electromagnetic fields. Necessary and sufficient conditions on a spacetime metric for it to be part of a perfect fluid solution of the Einstein equations are given. Formulas for constructing the fluid from the metric are obtained. All fluid results hold for any spacetime dimension. Geometric conditions on a metric which are necessary and sufficient for it to define a solution of the Einstein-scalar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06311","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1503.06311","created_at":"2026-05-18T01:36:33.667609+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.06311v3","created_at":"2026-05-18T01:36:33.667609+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06311","created_at":"2026-05-18T01:36:33.667609+00:00"},{"alias_kind":"pith_short_12","alias_value":"D732DQ7IQSCW","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"D732DQ7IQSCWXUZV","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"D732DQ7I","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.01409","citing_title":"The G\\\"odel Universe as a Superconductor","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01409","citing_title":"The G\\\"odel Universe as a Superconductor","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI","json":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI.json","graph_json":"https://pith.science/api/pith-number/D732DQ7IQSCWXUZVVYHU3NXWDI/graph.json","events_json":"https://pith.science/api/pith-number/D732DQ7IQSCWXUZVVYHU3NXWDI/events.json","paper":"https://pith.science/paper/D732DQ7I"},"agent_actions":{"view_html":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI","download_json":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI.json","view_paper":"https://pith.science/paper/D732DQ7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.06311&json=true","fetch_graph":"https://pith.science/api/pith-number/D732DQ7IQSCWXUZVVYHU3NXWDI/graph.json","fetch_events":"https://pith.science/api/pith-number/D732DQ7IQSCWXUZVVYHU3NXWDI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI/action/storage_attestation","attest_author":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI/action/author_attestation","sign_citation":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI/action/citation_signature","submit_replication":"https://pith.science/pith/D732DQ7IQSCWXUZVVYHU3NXWDI/action/replication_record"}},"created_at":"2026-05-18T01:36:33.667609+00:00","updated_at":"2026-05-18T01:36:33.667609+00:00"}