{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:OBWQQ6GWLY7XGEOV7752AODE26","short_pith_number":"pith:OBWQQ6GW","schema_version":"1.0","canonical_sha256":"706d0878d65e3f7311d5fffba03864d785f8e3bcf424bf3a5a77e170ef8eb31d","source":{"kind":"arxiv","id":"gr-qc/9702018","version":2},"attestation_state":"computed","paper":{"title":"Best Unbiased Estimates for the Microwave Background Anisotropies","license":"","headline":"","cross_cats":["astro-ph","hep-ph"],"primary_cat":"gr-qc","authors_text":"J\\'er\\^ome Martin, L. P. Grishchuk","submitted_at":"1997-02-10T17:15:41Z","abstract_excerpt":"It is likely that the observed distribution of the microwave background temperature over the sky is only one realization of the underlying random process associated with cosmological perturbations of quantum-mechanical origin. If so, one needs to derive the parameters of the random process, as accurately as possible, from the data of a single map. These parameters are of the utmost importance, since our knowledge of them would help us to reconstruct the dynamical evolution of the very early Universe. It appears that the lack of ergodicity of a random process on a 2-sphere does not allow us to "},"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":"gr-qc/9702018","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-02-10T17:15:41Z","cross_cats_sorted":["astro-ph","hep-ph"],"title_canon_sha256":"273aafa17f8cb44759ad0f185deff7a62379eca0e485314417bebab18ec1a17c","abstract_canon_sha256":"179b0c4d5ee5ddce7a88aa1d8b016747c78d71a43ddab94203b4448cce0d2503"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:07.906104Z","signature_b64":"UD2V4zMqxZDMjO9UPnNtm2rRXbN6siHY413/SOMgqBIzQjXa1HqP+hnZKZtIcKTf7xoq4M/V9yJ+b9aJOcRmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"706d0878d65e3f7311d5fffba03864d785f8e3bcf424bf3a5a77e170ef8eb31d","last_reissued_at":"2026-05-18T01:08:07.905563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:07.905563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Best Unbiased Estimates for the Microwave Background Anisotropies","license":"","headline":"","cross_cats":["astro-ph","hep-ph"],"primary_cat":"gr-qc","authors_text":"J\\'er\\^ome Martin, L. P. Grishchuk","submitted_at":"1997-02-10T17:15:41Z","abstract_excerpt":"It is likely that the observed distribution of the microwave background temperature over the sky is only one realization of the underlying random process associated with cosmological perturbations of quantum-mechanical origin. If so, one needs to derive the parameters of the random process, as accurately as possible, from the data of a single map. These parameters are of the utmost importance, since our knowledge of them would help us to reconstruct the dynamical evolution of the very early Universe. It appears that the lack of ergodicity of a random process on a 2-sphere does not allow us to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9702018","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":"gr-qc/9702018","created_at":"2026-05-18T01:08:07.905650+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9702018v2","created_at":"2026-05-18T01:08:07.905650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9702018","created_at":"2026-05-18T01:08:07.905650+00:00"},{"alias_kind":"pith_short_12","alias_value":"OBWQQ6GWLY7X","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"OBWQQ6GWLY7XGEOV","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"OBWQQ6GW","created_at":"2026-05-18T12:25:48.327863+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/OBWQQ6GWLY7XGEOV7752AODE26","json":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26.json","graph_json":"https://pith.science/api/pith-number/OBWQQ6GWLY7XGEOV7752AODE26/graph.json","events_json":"https://pith.science/api/pith-number/OBWQQ6GWLY7XGEOV7752AODE26/events.json","paper":"https://pith.science/paper/OBWQQ6GW"},"agent_actions":{"view_html":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26","download_json":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26.json","view_paper":"https://pith.science/paper/OBWQQ6GW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9702018&json=true","fetch_graph":"https://pith.science/api/pith-number/OBWQQ6GWLY7XGEOV7752AODE26/graph.json","fetch_events":"https://pith.science/api/pith-number/OBWQQ6GWLY7XGEOV7752AODE26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26/action/storage_attestation","attest_author":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26/action/author_attestation","sign_citation":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26/action/citation_signature","submit_replication":"https://pith.science/pith/OBWQQ6GWLY7XGEOV7752AODE26/action/replication_record"}},"created_at":"2026-05-18T01:08:07.905650+00:00","updated_at":"2026-05-18T01:08:07.905650+00:00"}