{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:L2MKIGOPXBWI5UO5L5DXT5AGKU","short_pith_number":"pith:L2MKIGOP","schema_version":"1.0","canonical_sha256":"5e98a419cfb86c8ed1dd5f4779f406550a079a8f911814b295d15f5ec8c169f0","source":{"kind":"arxiv","id":"1611.05889","version":2},"attestation_state":"computed","paper":{"title":"Renormalized stress-energy tensor for stationary black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adam Levi","submitted_at":"2016-11-17T21:02:36Z","abstract_excerpt":"We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first presented for $\\left\\langle\\phi^{2}\\right\\rangle_{ren}$, to compute the RSET in a stationary, asymptotically-flat background. This variant of the PMR method was recently used to compute the RSET for an evaporating spinning black hole. As an example for regularization, we demonstrate here the computation of the RSET for a minimally-coupled, massless scalar field on S"},"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":"1611.05889","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-17T21:02:36Z","cross_cats_sorted":[],"title_canon_sha256":"e043e4ee7dd86043cc5f0387776e7c573091defc1052e3ea80ec72124a8a4ff2","abstract_canon_sha256":"0816fcd51211889a048bd47ad9b0d49f1219bfa63af9bb95120c056992546e39"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:22.459185Z","signature_b64":"nGprETt0AcSnrGJbYjikqrYsPuLp7I793OYZxaKKGsnLVHh4zkdeN6IacI1JI0HR1/chJPoMwBssInWF+ym5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e98a419cfb86c8ed1dd5f4779f406550a079a8f911814b295d15f5ec8c169f0","last_reissued_at":"2026-05-18T00:52:22.458517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:22.458517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalized stress-energy tensor for stationary black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adam Levi","submitted_at":"2016-11-17T21:02:36Z","abstract_excerpt":"We continue the presentation of the pragmatic mode-sum regularization (PMR) method for computing the renormalized stress-energy tensor (RSET). We show in detail how to employ the $t$-splitting variant of the method, which was first presented for $\\left\\langle\\phi^{2}\\right\\rangle_{ren}$, to compute the RSET in a stationary, asymptotically-flat background. This variant of the PMR method was recently used to compute the RSET for an evaporating spinning black hole. As an example for regularization, we demonstrate here the computation of the RSET for a minimally-coupled, massless scalar field on S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05889","kind":"arxiv","version":2},"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":"1611.05889","created_at":"2026-05-18T00:52:22.458642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.05889v2","created_at":"2026-05-18T00:52:22.458642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05889","created_at":"2026-05-18T00:52:22.458642+00:00"},{"alias_kind":"pith_short_12","alias_value":"L2MKIGOPXBWI","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"L2MKIGOPXBWI5UO5","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"L2MKIGOP","created_at":"2026-05-18T12:30:29.479603+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.01980","citing_title":"Stress-energy tensor of quantized scalar fields in thermal states on a zero-tidal wormhole","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU","json":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU.json","graph_json":"https://pith.science/api/pith-number/L2MKIGOPXBWI5UO5L5DXT5AGKU/graph.json","events_json":"https://pith.science/api/pith-number/L2MKIGOPXBWI5UO5L5DXT5AGKU/events.json","paper":"https://pith.science/paper/L2MKIGOP"},"agent_actions":{"view_html":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU","download_json":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU.json","view_paper":"https://pith.science/paper/L2MKIGOP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.05889&json=true","fetch_graph":"https://pith.science/api/pith-number/L2MKIGOPXBWI5UO5L5DXT5AGKU/graph.json","fetch_events":"https://pith.science/api/pith-number/L2MKIGOPXBWI5UO5L5DXT5AGKU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU/action/storage_attestation","attest_author":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU/action/author_attestation","sign_citation":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU/action/citation_signature","submit_replication":"https://pith.science/pith/L2MKIGOPXBWI5UO5L5DXT5AGKU/action/replication_record"}},"created_at":"2026-05-18T00:52:22.458642+00:00","updated_at":"2026-05-18T00:52:22.458642+00:00"}