{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YO4MWFIAGAXNP7NCRUKPKKXMQH","short_pith_number":"pith:YO4MWFIA","canonical_record":{"source":{"id":"1506.04273","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-06-13T14:37:34Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b9a394d3bcbd77dd0dd2ed9632c1b4307257adff2ce6712746bee50322278175","abstract_canon_sha256":"787c7203df893ed10c8aea559c52a3d1e4bfaa491c5d462241c38a44c216b5ad"},"schema_version":"1.0"},"canonical_sha256":"c3b8cb1500302ed7fda28d14f52aec81e3e2426f31cb17be607ab7bed854a898","source":{"kind":"arxiv","id":"1506.04273","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04273","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04273v3","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04273","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"YO4MWFIAGAXN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YO4MWFIAGAXNP7NC","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YO4MWFIA","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YO4MWFIAGAXNP7NCRUKPKKXMQH","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04273","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-06-13T14:37:34Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b9a394d3bcbd77dd0dd2ed9632c1b4307257adff2ce6712746bee50322278175","abstract_canon_sha256":"787c7203df893ed10c8aea559c52a3d1e4bfaa491c5d462241c38a44c216b5ad"},"schema_version":"1.0"},"canonical_sha256":"c3b8cb1500302ed7fda28d14f52aec81e3e2426f31cb17be607ab7bed854a898","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:42.664486Z","signature_b64":"RxAkVwbdtbBoTu5S3ppBPXVzlQP/cdpCsyBa/EJ461C23eQ3bXk+7MB8MnDC+puEvjVkTqgqSyBpHrM8kasVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3b8cb1500302ed7fda28d14f52aec81e3e2426f31cb17be607ab7bed854a898","last_reissued_at":"2026-05-18T01:26:42.663787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:42.663787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04273","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrL1CKztwBU+vW+cW+65krtVXRNacCRG+JAYjlJ3R2O9vDYju6lERf35YKKhhVlbW2aLl6Vrqg5jlqalfFjpAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:08:58.697575Z"},"content_sha256":"02427098f703284d9517cc46ea8796377d9b1f9ecaf54c4784949484b29fb1ed","schema_version":"1.0","event_id":"sha256:02427098f703284d9517cc46ea8796377d9b1f9ecaf54c4784949484b29fb1ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YO4MWFIAGAXNP7NCRUKPKKXMQH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimized Large-Scale CMB Likelihood And Quadratic Maximum Likelihood Power Spectrum Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.IM","authors_text":"A. Gruppuso, E. Gjerl{\\o}w, H. K. Eriksen, I. K. Wehus, J. B. Jewell, K. M. G\\'orski, L. P. L. Colombo, S. Plaszczynski","submitted_at":"2015-06-13T14:37:34Z","abstract_excerpt":"We revisit the problem of exact CMB likelihood and power spectrum estimation with the goal of minimizing computational cost through linear compression. This idea was originally proposed for CMB purposes by Tegmark et al.\\ (1997), and here we develop it into a fully working computational framework for large-scale polarization analysis, adopting \\WMAP\\ as a worked example. We compare five different linear bases (pixel space, harmonic space, noise covariance eigenvectors, signal-to-noise covariance eigenvectors and signal-plus-noise covariance eigenvectors) in terms of compression efficiency, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04273","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gfSFGqJsGyxlPPWP038X1QFXNOpE3foWLmw5jHoNMzEgFE7X+QHyUZinsXgbwgy1Y27yt573BJ2PISblWoEJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:08:58.698146Z"},"content_sha256":"e2d9a60f3aeebf6dee9c59bc8502d8459ff6f8b8308d7591633fc50c10b8764a","schema_version":"1.0","event_id":"sha256:e2d9a60f3aeebf6dee9c59bc8502d8459ff6f8b8308d7591633fc50c10b8764a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/bundle.json","state_url":"https://pith.science/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/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":"2026-08-03T17:08:58Z","links":{"resolver":"https://pith.science/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH","bundle":"https://pith.science/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/bundle.json","state":"https://pith.science/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YO4MWFIAGAXNP7NCRUKPKKXMQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YO4MWFIAGAXNP7NCRUKPKKXMQH","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":"787c7203df893ed10c8aea559c52a3d1e4bfaa491c5d462241c38a44c216b5ad","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-06-13T14:37:34Z","title_canon_sha256":"b9a394d3bcbd77dd0dd2ed9632c1b4307257adff2ce6712746bee50322278175"},"schema_version":"1.0","source":{"id":"1506.04273","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04273","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04273v3","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04273","created_at":"2026-05-18T01:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"YO4MWFIAGAXN","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YO4MWFIAGAXNP7NC","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YO4MWFIA","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:e2d9a60f3aeebf6dee9c59bc8502d8459ff6f8b8308d7591633fc50c10b8764a","target":"graph","created_at":"2026-05-18T01:26:42Z","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"},"paper":{"abstract_excerpt":"We revisit the problem of exact CMB likelihood and power spectrum estimation with the goal of minimizing computational cost through linear compression. This idea was originally proposed for CMB purposes by Tegmark et al.\\ (1997), and here we develop it into a fully working computational framework for large-scale polarization analysis, adopting \\WMAP\\ as a worked example. We compare five different linear bases (pixel space, harmonic space, noise covariance eigenvectors, signal-to-noise covariance eigenvectors and signal-plus-noise covariance eigenvectors) in terms of compression efficiency, and","authors_text":"A. Gruppuso, E. Gjerl{\\o}w, H. K. Eriksen, I. K. Wehus, J. B. Jewell, K. M. G\\'orski, L. P. L. Colombo, S. Plaszczynski","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-06-13T14:37:34Z","title":"Optimized Large-Scale CMB Likelihood And Quadratic Maximum Likelihood Power Spectrum Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04273","kind":"arxiv","version":3},"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":"sha256:02427098f703284d9517cc46ea8796377d9b1f9ecaf54c4784949484b29fb1ed","target":"record","created_at":"2026-05-18T01:26:42Z","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":"787c7203df893ed10c8aea559c52a3d1e4bfaa491c5d462241c38a44c216b5ad","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-06-13T14:37:34Z","title_canon_sha256":"b9a394d3bcbd77dd0dd2ed9632c1b4307257adff2ce6712746bee50322278175"},"schema_version":"1.0","source":{"id":"1506.04273","kind":"arxiv","version":3}},"canonical_sha256":"c3b8cb1500302ed7fda28d14f52aec81e3e2426f31cb17be607ab7bed854a898","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3b8cb1500302ed7fda28d14f52aec81e3e2426f31cb17be607ab7bed854a898","first_computed_at":"2026-05-18T01:26:42.663787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:42.663787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RxAkVwbdtbBoTu5S3ppBPXVzlQP/cdpCsyBa/EJ461C23eQ3bXk+7MB8MnDC+puEvjVkTqgqSyBpHrM8kasVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:42.664486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04273","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02427098f703284d9517cc46ea8796377d9b1f9ecaf54c4784949484b29fb1ed","sha256:e2d9a60f3aeebf6dee9c59bc8502d8459ff6f8b8308d7591633fc50c10b8764a"],"state_sha256":"e31f9fb0a737e288dffcd018e9437348a20474f9da3a7a4652b67803aa627fc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpDLBa1br1Dg7zVO8ehsNGRfhRMPuP+QIdnNAYJsMKMkH3E35rWHr5a/nLVfGVogdsxUTdTKKbuJ2WSaZXCoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:08:58.702717Z","bundle_sha256":"1efadd183c57afe89700a2eed5b1f85844241991a6c7bd17e6769f1982ff6423"}}