{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Q66JBE7RAXX6WIFDTVIO76YO2K","short_pith_number":"pith:Q66JBE7R","schema_version":"1.0","canonical_sha256":"87bc9093f105efeb20a39d50effb0ed284987f9f7d7bdcdbc020ad945a430dca","source":{"kind":"arxiv","id":"1301.2501","version":1},"attestation_state":"computed","paper":{"title":"Exact noise kernel for quantum fields in static de Sitter and conformally-flat spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. L. Hu, Hing-Tong Cho, Jason D. Bates, Paul R. Anderson","submitted_at":"2013-01-11T13:59:30Z","abstract_excerpt":"We compute exact expressions of the noise kernel, defined as the expectation value of the symmetrized connected stress energy bitensor, for conformally-invariant scalar fields with respect to the conformal vacuum, valid for an arbitrary separation (timelike, spacelike and null) of points in a class of conformally-flat spacetimes. We derive explicit expressions for the noise kernel evaluated in the static de Sitter coordinates with respect to the Gibbons-Hawking vacuum and analyze the behavior of the noise kernel in the region near the cosmological horizon. We develop a quasi-local expansion ne"},"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":"1301.2501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-01-11T13:59:30Z","cross_cats_sorted":[],"title_canon_sha256":"e8b79109c4a08c47d81706918d109fa99a2c162bb3f4b9201b213f63d2c17147","abstract_canon_sha256":"02e477bb584bf1f224df2e2dd36f3fcc7c5671fd50fd2abd82e510337ae85722"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:37.744924Z","signature_b64":"sca0d8ZjwM8EEbdUO/msc+v9qYCw9u9u+ti8Qu5ib2dEhkSYfdVVNJFX3tpim5kka2h6kZWSy3fhzcUOECqYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87bc9093f105efeb20a39d50effb0ed284987f9f7d7bdcdbc020ad945a430dca","last_reissued_at":"2026-05-18T03:36:37.744478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:37.744478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact noise kernel for quantum fields in static de Sitter and conformally-flat spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. L. Hu, Hing-Tong Cho, Jason D. Bates, Paul R. Anderson","submitted_at":"2013-01-11T13:59:30Z","abstract_excerpt":"We compute exact expressions of the noise kernel, defined as the expectation value of the symmetrized connected stress energy bitensor, for conformally-invariant scalar fields with respect to the conformal vacuum, valid for an arbitrary separation (timelike, spacelike and null) of points in a class of conformally-flat spacetimes. We derive explicit expressions for the noise kernel evaluated in the static de Sitter coordinates with respect to the Gibbons-Hawking vacuum and analyze the behavior of the noise kernel in the region near the cosmological horizon. We develop a quasi-local expansion ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2501","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":"1301.2501","created_at":"2026-05-18T03:36:37.744535+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.2501v1","created_at":"2026-05-18T03:36:37.744535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2501","created_at":"2026-05-18T03:36:37.744535+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q66JBE7RAXX6","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q66JBE7RAXX6WIFD","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q66JBE7R","created_at":"2026-05-18T12:27:57.521954+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K","json":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K.json","graph_json":"https://pith.science/api/pith-number/Q66JBE7RAXX6WIFDTVIO76YO2K/graph.json","events_json":"https://pith.science/api/pith-number/Q66JBE7RAXX6WIFDTVIO76YO2K/events.json","paper":"https://pith.science/paper/Q66JBE7R"},"agent_actions":{"view_html":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K","download_json":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K.json","view_paper":"https://pith.science/paper/Q66JBE7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.2501&json=true","fetch_graph":"https://pith.science/api/pith-number/Q66JBE7RAXX6WIFDTVIO76YO2K/graph.json","fetch_events":"https://pith.science/api/pith-number/Q66JBE7RAXX6WIFDTVIO76YO2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K/action/storage_attestation","attest_author":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K/action/author_attestation","sign_citation":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K/action/citation_signature","submit_replication":"https://pith.science/pith/Q66JBE7RAXX6WIFDTVIO76YO2K/action/replication_record"}},"created_at":"2026-05-18T03:36:37.744535+00:00","updated_at":"2026-05-18T03:36:37.744535+00:00"}