{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JW7LC2RAGETJC66KI5XJUZFYXP","short_pith_number":"pith:JW7LC2RA","canonical_record":{"source":{"id":"2303.08828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-03-15T18:00:00Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"0c414d7d083ceea6d1dc54d110050af5d5c0b693e3b290799de65a42fe3145df","abstract_canon_sha256":"1c539293e70455f569cd744efdf93660c9ea0bfe2cf766a49082e6ca3dbe7be4"},"schema_version":"1.0"},"canonical_sha256":"4dbeb16a203126917bca476e9a64b8bbe9ef987b7fa7b1657b2f4e8bf078ed73","source":{"kind":"arxiv","id":"2303.08828","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.08828","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"arxiv_version","alias_value":"2303.08828v2","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.08828","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_12","alias_value":"JW7LC2RAGETJ","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_16","alias_value":"JW7LC2RAGETJC66K","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_8","alias_value":"JW7LC2RA","created_at":"2026-07-05T06:25:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JW7LC2RAGETJC66KI5XJUZFYXP","target":"record","payload":{"canonical_record":{"source":{"id":"2303.08828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-03-15T18:00:00Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"0c414d7d083ceea6d1dc54d110050af5d5c0b693e3b290799de65a42fe3145df","abstract_canon_sha256":"1c539293e70455f569cd744efdf93660c9ea0bfe2cf766a49082e6ca3dbe7be4"},"schema_version":"1.0"},"canonical_sha256":"4dbeb16a203126917bca476e9a64b8bbe9ef987b7fa7b1657b2f4e8bf078ed73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:25:22.718243Z","signature_b64":"sxwVi/Gr0ruxojlaM/fJKVGB5hj+NSPS7+RD9vBPr/osGV9DZTHlYd7kGeOaUFYIIq4LbDdV88BriDMEfYCyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dbeb16a203126917bca476e9a64b8bbe9ef987b7fa7b1657b2f4e8bf078ed73","last_reissued_at":"2026-07-05T06:25:22.717746Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:25:22.717746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.08828","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:25:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vhA5D+nyYMJsQFM8ro6b+NAfOyaGUzddFVhDxAowqvKstHGsicC3hU5QvJbn8USZUp/uk4QkAUodTYJRYwbfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:42:40.369046Z"},"content_sha256":"0b257d159cd62ba35c099330cf3d7412deea3911f22d96e532a54970c6ff9b57","schema_version":"1.0","event_id":"sha256:0b257d159cd62ba35c099330cf3d7412deea3911f22d96e532a54970c6ff9b57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JW7LC2RAGETJC66KI5XJUZFYXP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Estimation of the Binned Mask-Free Power Spectrum, Bispectrum, and Trispectrum on the Full Sky: Scalar Edition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Oliver H. E. Philcox","submitted_at":"2023-03-15T18:00:00Z","abstract_excerpt":"We derive optimal estimators for the two-, three-, and four-point correlators of statistically isotropic scalar fields defined on the sphere, such as the Cosmic Microwave Background temperature fluctuations, allowing for arbitrary (linear) masking and inpainting schemes. In each case, we give the optimal unwindowed estimator (obtained via a maximum-likelihood prescription, with an associated Fisher deconvolution matrix), and an idealized form, and pay close attention to their efficient computation. For the trispectrum, we include both parity-even and parity-odd contributions, as allowed by sym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.08828","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.08828/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:25:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pqr4UxyLlwxRj0vd/ld8P+hZaI8AGZUY9/uL0xOwwSLABvYgy8mJQm30rkeB0eYlHARnz/P1aSov9OOasUhGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:42:40.369548Z"},"content_sha256":"f1c837bc566f2cb4343cfb026a4b09d61c4d28d81635e61350a8626bda13f79d","schema_version":"1.0","event_id":"sha256:f1c837bc566f2cb4343cfb026a4b09d61c4d28d81635e61350a8626bda13f79d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JW7LC2RAGETJC66KI5XJUZFYXP/bundle.json","state_url":"https://pith.science/pith/JW7LC2RAGETJC66KI5XJUZFYXP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JW7LC2RAGETJC66KI5XJUZFYXP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T11:42:40Z","links":{"resolver":"https://pith.science/pith/JW7LC2RAGETJC66KI5XJUZFYXP","bundle":"https://pith.science/pith/JW7LC2RAGETJC66KI5XJUZFYXP/bundle.json","state":"https://pith.science/pith/JW7LC2RAGETJC66KI5XJUZFYXP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JW7LC2RAGETJC66KI5XJUZFYXP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JW7LC2RAGETJC66KI5XJUZFYXP","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":"1c539293e70455f569cd744efdf93660c9ea0bfe2cf766a49082e6ca3dbe7be4","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-03-15T18:00:00Z","title_canon_sha256":"0c414d7d083ceea6d1dc54d110050af5d5c0b693e3b290799de65a42fe3145df"},"schema_version":"1.0","source":{"id":"2303.08828","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.08828","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"arxiv_version","alias_value":"2303.08828v2","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.08828","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_12","alias_value":"JW7LC2RAGETJ","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_16","alias_value":"JW7LC2RAGETJC66K","created_at":"2026-07-05T06:25:22Z"},{"alias_kind":"pith_short_8","alias_value":"JW7LC2RA","created_at":"2026-07-05T06:25:22Z"}],"graph_snapshots":[{"event_id":"sha256:f1c837bc566f2cb4343cfb026a4b09d61c4d28d81635e61350a8626bda13f79d","target":"graph","created_at":"2026-07-05T06:25:22Z","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/2303.08828/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive optimal estimators for the two-, three-, and four-point correlators of statistically isotropic scalar fields defined on the sphere, such as the Cosmic Microwave Background temperature fluctuations, allowing for arbitrary (linear) masking and inpainting schemes. In each case, we give the optimal unwindowed estimator (obtained via a maximum-likelihood prescription, with an associated Fisher deconvolution matrix), and an idealized form, and pay close attention to their efficient computation. For the trispectrum, we include both parity-even and parity-odd contributions, as allowed by sym","authors_text":"Oliver H. E. Philcox","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-03-15T18:00:00Z","title":"Optimal Estimation of the Binned Mask-Free Power Spectrum, Bispectrum, and Trispectrum on the Full Sky: Scalar Edition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.08828","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":"sha256:0b257d159cd62ba35c099330cf3d7412deea3911f22d96e532a54970c6ff9b57","target":"record","created_at":"2026-07-05T06:25:22Z","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":"1c539293e70455f569cd744efdf93660c9ea0bfe2cf766a49082e6ca3dbe7be4","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-03-15T18:00:00Z","title_canon_sha256":"0c414d7d083ceea6d1dc54d110050af5d5c0b693e3b290799de65a42fe3145df"},"schema_version":"1.0","source":{"id":"2303.08828","kind":"arxiv","version":2}},"canonical_sha256":"4dbeb16a203126917bca476e9a64b8bbe9ef987b7fa7b1657b2f4e8bf078ed73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dbeb16a203126917bca476e9a64b8bbe9ef987b7fa7b1657b2f4e8bf078ed73","first_computed_at":"2026-07-05T06:25:22.717746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:25:22.717746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sxwVi/Gr0ruxojlaM/fJKVGB5hj+NSPS7+RD9vBPr/osGV9DZTHlYd7kGeOaUFYIIq4LbDdV88BriDMEfYCyAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:25:22.718243Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.08828","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b257d159cd62ba35c099330cf3d7412deea3911f22d96e532a54970c6ff9b57","sha256:f1c837bc566f2cb4343cfb026a4b09d61c4d28d81635e61350a8626bda13f79d"],"state_sha256":"e4fe8cff6de2b2781a38cb77b98a6689a70de66730d2a0ec11b3c20d47c281c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LuSuoG7Vgk9H5MBOfJAYqaygtemQBiaLkcqy0UxFZ8yTa/3mfGbv4agHEc3liHwIMo3KyCIU0AAXSmBmuOxXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T11:42:40.372895Z","bundle_sha256":"aaa53bd6a0061f124f1b66e30b5b3f070b8a406c3136ee3c753d3115cdd447ba"}}