{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:G2GLDPLRADPHKKCATN4A6WTVAP","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":"40df41ab0def6f3a83a5e73dd4d71bfabc60c5ec0280389c3869ab051856d521","cross_cats_sorted":["astro-ph.IM","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-02-07T12:01:49Z","title_canon_sha256":"6fa47cd38ce2426bcf9fe2406395e83ed2c1fae977c81e99b921dcb6af2547e6"},"schema_version":"1.0","source":{"id":"1202.1399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1399","created_at":"2026-05-18T02:18:01Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1399v2","created_at":"2026-05-18T02:18:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1399","created_at":"2026-05-18T02:18:01Z"},{"alias_kind":"pith_short_12","alias_value":"G2GLDPLRADPH","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"G2GLDPLRADPHKKCA","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"G2GLDPLR","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:cfd9f60fe43325ff9a8d7409865d3b43f2a63b19f575e657fe0c50f98aad5dc5","target":"graph","created_at":"2026-05-18T02:18:01Z","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"},"paper":{"abstract_excerpt":"We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for the spectral parameters of Gaussian and isotropic spherical random fields. We prove consistency and asymptotic Gaussianity, in the high-frequency limit, thus generalizing earlier results by Durastanti et al. (2011) based upon standard Fourier analysis on the sphere. The asymptotic results are then illustrated by an extensive Monte Carlo study.","authors_text":"Claudio Durastanti, Domenico Marinucci, Xiaohong Lan","cross_cats":["astro-ph.IM","math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-02-07T12:01:49Z","title":"Needlet-Whittle Estimates on the Unit Sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1399","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":"sha256:3b1158f74dd245387007d981348ba9611e61c20febda633acd9e7f5a2e1d8787","target":"record","created_at":"2026-05-18T02:18:01Z","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":"40df41ab0def6f3a83a5e73dd4d71bfabc60c5ec0280389c3869ab051856d521","cross_cats_sorted":["astro-ph.IM","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-02-07T12:01:49Z","title_canon_sha256":"6fa47cd38ce2426bcf9fe2406395e83ed2c1fae977c81e99b921dcb6af2547e6"},"schema_version":"1.0","source":{"id":"1202.1399","kind":"arxiv","version":2}},"canonical_sha256":"368cb1bd7100de7528409b780f5a7503ec31119e37dc14f9f319f4d6247af459","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"368cb1bd7100de7528409b780f5a7503ec31119e37dc14f9f319f4d6247af459","first_computed_at":"2026-05-18T02:18:01.851123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:01.851123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZBjecAE54jPgeIsbYx6RkS7KRi1c2A21dmuQJMFwCY386DpKGYNGwOAs/J//yWUiX8WwkNunOHgaFM77IgztCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:01.851708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b1158f74dd245387007d981348ba9611e61c20febda633acd9e7f5a2e1d8787","sha256:cfd9f60fe43325ff9a8d7409865d3b43f2a63b19f575e657fe0c50f98aad5dc5"],"state_sha256":"91e0e7b071d7d32755d3cf4ce35cc6b6cf52a916af0e9155c3738324fa2ffbe3"}