{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:T2SHG5ARDYFLQDVM3JPQL4SYMQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"45f3faa6b230537d31158ddfcb920a89ba7aba398ac8f0450015402fadc17594","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1998-05-28T00:17:24Z","title_canon_sha256":"714a146a6bdefc715e62bb412f192a7c933bdeee7143dfb24fee23d7028e1c7e"},"schema_version":"1.0","source":{"id":"astro-ph/9805339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9805339","created_at":"2026-07-04T16:06:42Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9805339v2","created_at":"2026-07-04T16:06:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9805339","created_at":"2026-07-04T16:06:42Z"},{"alias_kind":"pith_short_12","alias_value":"T2SHG5ARDYFL","created_at":"2026-07-04T16:06:42Z"},{"alias_kind":"pith_short_16","alias_value":"T2SHG5ARDYFLQDVM","created_at":"2026-07-04T16:06:42Z"},{"alias_kind":"pith_short_8","alias_value":"T2SHG5AR","created_at":"2026-07-04T16:06:42Z"}],"graph_snapshots":[{"event_id":"sha256:8f68581164090931cd573e4be4838b704b798a1dc9f927a42ee53fbe01291781","target":"graph","created_at":"2026-07-04T16:06:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/9805339/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is enormous potential to advance cosmology from statistical characterizations of cosmic microwave background sky maps. The angular power spectrum of the microwave anisotropy is a particularly important statistic. Existing algorithms for computing the angular power spectrum of a pixelized map typically require O(N^3) operations and O(N^2) storage, where N is the number of independent pixels in the map. The MAP and Planck satellites will produce megapixel maps of the cosmic microwave background temperature at multiple frequencies; thus, existing algorithms are not computationally feasible.","authors_text":"David N. Spergel (Princeton), Gary Hinshaw (NASA/GSFC), Siang Peng Oh","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1998-05-28T00:17:24Z","title":"An Efficient Technique to Determine the Power Spectrum from Cosmic Microwave Background Sky Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9805339","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d06a86d37a580d496cb4755b5a23e337f727c2bec493cd5b5b694c4a10aa9b23","target":"record","created_at":"2026-07-04T16:06:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"45f3faa6b230537d31158ddfcb920a89ba7aba398ac8f0450015402fadc17594","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1998-05-28T00:17:24Z","title_canon_sha256":"714a146a6bdefc715e62bb412f192a7c933bdeee7143dfb24fee23d7028e1c7e"},"schema_version":"1.0","source":{"id":"astro-ph/9805339","kind":"arxiv","version":2}},"canonical_sha256":"9ea47374111e0ab80eacda5f05f258640ac176de7ce45f62675a8a59ad930067","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ea47374111e0ab80eacda5f05f258640ac176de7ce45f62675a8a59ad930067","first_computed_at":"2026-07-04T16:06:42.657762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:06:42.657762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bn4VorWeq95Fz3CVKYIvpmfR4l0CPvt71ImBNjQveN9PKCPPm9g4dIERPeYtlv716OQmvRC9Dy94z1dHbeGUDg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:06:42.658168Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9805339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d06a86d37a580d496cb4755b5a23e337f727c2bec493cd5b5b694c4a10aa9b23","sha256:8f68581164090931cd573e4be4838b704b798a1dc9f927a42ee53fbe01291781"],"state_sha256":"8d0d2c9b9810845f844dc2f0822454230ed030542343fec5d1ca7a00606860c3"}