{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AK5HD4VJIRHOYPLRWST2SUG3HC","short_pith_number":"pith:AK5HD4VJ","schema_version":"1.0","canonical_sha256":"02ba71f2a9444eec3d71b4a7a950db38a3000c76123fb678518bc3bfb11c1ef9","source":{"kind":"arxiv","id":"1512.02243","version":1},"attestation_state":"computed","paper":{"title":"Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander K. Ridgway, Mark B. Wise","submitted_at":"2015-12-07T21:02:44Z","abstract_excerpt":"We discuss the physical interpretation of stress-energy tensors that source static spherically symmetric Kerr-Schild metrics. We find that the sources of such metrics with no curvature singularities or horizons do not simultaneously satisfy the weak and strong energy conditions. Sensible stress-energy tensors usually satisfy both of them. Under most circumstances these sources are not perfect fluids and contain shear stresses. We show that for these systems the classical double copy associates the electric charge density to the Komar energy density. In addition, we demonstrate that the stress-"},"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":"1512.02243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-07T21:02:44Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"1ba958731ef27d76c017cfccfb627503a5fa0156ae52073f380aec5fbf684606","abstract_canon_sha256":"4e79eec02a19d130a6d8298e09cc1b57075c4c56e5d6b2817f089dfbc7523fe0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:43.076128Z","signature_b64":"I/5RFGMrA2Fob0qBdqlVmZ4X7yl6F1xfZKfl3LIULT2uONANoX7B0M85Qv5Lvf61Fw7ICMETbR0zMiPPAU6SBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02ba71f2a9444eec3d71b4a7a950db38a3000c76123fb678518bc3bfb11c1ef9","last_reissued_at":"2026-05-18T01:08:43.075562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:43.075562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander K. Ridgway, Mark B. Wise","submitted_at":"2015-12-07T21:02:44Z","abstract_excerpt":"We discuss the physical interpretation of stress-energy tensors that source static spherically symmetric Kerr-Schild metrics. We find that the sources of such metrics with no curvature singularities or horizons do not simultaneously satisfy the weak and strong energy conditions. Sensible stress-energy tensors usually satisfy both of them. Under most circumstances these sources are not perfect fluids and contain shear stresses. We show that for these systems the classical double copy associates the electric charge density to the Komar energy density. In addition, we demonstrate that the stress-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02243","kind":"arxiv","version":1},"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":"1512.02243","created_at":"2026-05-18T01:08:43.075661+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.02243v1","created_at":"2026-05-18T01:08:43.075661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02243","created_at":"2026-05-18T01:08:43.075661+00:00"},{"alias_kind":"pith_short_12","alias_value":"AK5HD4VJIRHO","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AK5HD4VJIRHOYPLR","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AK5HD4VJ","created_at":"2026-05-18T12:29:10.953037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2605.14707","citing_title":"The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective","ref_index":23,"is_internal_anchor":true},{"citing_arxiv_id":"2604.05262","citing_title":"Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy","ref_index":40,"is_internal_anchor":true},{"citing_arxiv_id":"2510.25866","citing_title":"Hawking Radiation meets the Double Copy","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2604.19920","citing_title":"Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05262","citing_title":"Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy","ref_index":40,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC","json":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC.json","graph_json":"https://pith.science/api/pith-number/AK5HD4VJIRHOYPLRWST2SUG3HC/graph.json","events_json":"https://pith.science/api/pith-number/AK5HD4VJIRHOYPLRWST2SUG3HC/events.json","paper":"https://pith.science/paper/AK5HD4VJ"},"agent_actions":{"view_html":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC","download_json":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC.json","view_paper":"https://pith.science/paper/AK5HD4VJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.02243&json=true","fetch_graph":"https://pith.science/api/pith-number/AK5HD4VJIRHOYPLRWST2SUG3HC/graph.json","fetch_events":"https://pith.science/api/pith-number/AK5HD4VJIRHOYPLRWST2SUG3HC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC/action/storage_attestation","attest_author":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC/action/author_attestation","sign_citation":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC/action/citation_signature","submit_replication":"https://pith.science/pith/AK5HD4VJIRHOYPLRWST2SUG3HC/action/replication_record"}},"created_at":"2026-05-18T01:08:43.075661+00:00","updated_at":"2026-05-18T01:08:43.075661+00:00"}