{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YJ4PYO2775J36TFV6PQVVG33DZ","short_pith_number":"pith:YJ4PYO27","canonical_record":{"source":{"id":"1310.2372","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-10-09T06:46:56Z","cross_cats_sorted":[],"title_canon_sha256":"307c54e29fe27938de83f1e4bef5db76d5c03141e900b681fcd442770c4de327","abstract_canon_sha256":"f5c21b44ccc93fd8a6fad4090050511703df6f33bc496bcc55cf198277bf9e9a"},"schema_version":"1.0"},"canonical_sha256":"c278fc3b5fff53bf4cb5f3e15a9b7b1e68c2f2475a0748680a46fb56f74c459f","source":{"kind":"arxiv","id":"1310.2372","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2372","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2372v4","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2372","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"pith_short_12","alias_value":"YJ4PYO2775J3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YJ4PYO2775J36TFV","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YJ4PYO27","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YJ4PYO2775J36TFV6PQVVG33DZ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.2372","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-10-09T06:46:56Z","cross_cats_sorted":[],"title_canon_sha256":"307c54e29fe27938de83f1e4bef5db76d5c03141e900b681fcd442770c4de327","abstract_canon_sha256":"f5c21b44ccc93fd8a6fad4090050511703df6f33bc496bcc55cf198277bf9e9a"},"schema_version":"1.0"},"canonical_sha256":"c278fc3b5fff53bf4cb5f3e15a9b7b1e68c2f2475a0748680a46fb56f74c459f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:57.089149Z","signature_b64":"+SYvYKG9GA0gF8lvwHDi3tdvwlwDYFZTdHEZc2wVEvFHsIZMPpy2omZ2Uw+bis0ZvBCQrS7Xf7tVx/3dE267BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c278fc3b5fff53bf4cb5f3e15a9b7b1e68c2f2475a0748680a46fb56f74c459f","last_reissued_at":"2026-05-17T23:43:57.088408Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:57.088408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.2372","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:43:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2JiNVpnRu8k1EJGrpz4FR6lKGDbISQYkgl0YrC/th1KRZ5x9BNffi7d6SgT33c5L9MmIun/3ih+3Hq201p45DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T07:11:23.478909Z"},"content_sha256":"3633d0ba0b442ddfe6da002bbe7876c9c67ea9f068b12fe9850919072587487c","schema_version":"1.0","event_id":"sha256:3633d0ba0b442ddfe6da002bbe7876c9c67ea9f068b12fe9850919072587487c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YJ4PYO2775J36TFV6PQVVG33DZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bias-Hardened CMB Lensing with Polarization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Ryuichi Takahashi, Toshiya Namikawa","submitted_at":"2013-10-09T06:46:56Z","abstract_excerpt":"Polarization data will soon provide the best avenue for measurements of the CMB lensing potential, although it is potentially sensitive to several instrumental effects including beam asymmetry, polarization angle uncertainties, sky coverage, as well as analysis choices such as masking. We derive \"bias-hardened\" lensing estimators to mitigate these effects, at the expense of somewhat larger reconstruction noise, and test them numerically on simulated data. We find that the mean-field bias from masking is significant for the EE quadratic lensing estimator, however the bias-hardened estimator com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2372","kind":"arxiv","version":4},"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":"2026-05-17T23:43:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JzIy6CVnwvkj8R+XMUlUZJKdBpYCbyV+VgrXSRwZTdGp4pp8wYZy8De9ShuwQSsqjDSq5LoMOEC/4IR6jfycDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T07:11:23.479387Z"},"content_sha256":"c80fa8b2df0a9bdb0a8ef8540442b9172c094065a2f4e5ba068af32481bf9f4a","schema_version":"1.0","event_id":"sha256:c80fa8b2df0a9bdb0a8ef8540442b9172c094065a2f4e5ba068af32481bf9f4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJ4PYO2775J36TFV6PQVVG33DZ/bundle.json","state_url":"https://pith.science/pith/YJ4PYO2775J36TFV6PQVVG33DZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJ4PYO2775J36TFV6PQVVG33DZ/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":"2026-08-15T07:11:23Z","links":{"resolver":"https://pith.science/pith/YJ4PYO2775J36TFV6PQVVG33DZ","bundle":"https://pith.science/pith/YJ4PYO2775J36TFV6PQVVG33DZ/bundle.json","state":"https://pith.science/pith/YJ4PYO2775J36TFV6PQVVG33DZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJ4PYO2775J36TFV6PQVVG33DZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YJ4PYO2775J36TFV6PQVVG33DZ","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":"f5c21b44ccc93fd8a6fad4090050511703df6f33bc496bcc55cf198277bf9e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-10-09T06:46:56Z","title_canon_sha256":"307c54e29fe27938de83f1e4bef5db76d5c03141e900b681fcd442770c4de327"},"schema_version":"1.0","source":{"id":"1310.2372","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2372","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2372v4","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2372","created_at":"2026-05-17T23:43:57Z"},{"alias_kind":"pith_short_12","alias_value":"YJ4PYO2775J3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YJ4PYO2775J36TFV","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YJ4PYO27","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:c80fa8b2df0a9bdb0a8ef8540442b9172c094065a2f4e5ba068af32481bf9f4a","target":"graph","created_at":"2026-05-17T23:43:57Z","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":"Polarization data will soon provide the best avenue for measurements of the CMB lensing potential, although it is potentially sensitive to several instrumental effects including beam asymmetry, polarization angle uncertainties, sky coverage, as well as analysis choices such as masking. We derive \"bias-hardened\" lensing estimators to mitigate these effects, at the expense of somewhat larger reconstruction noise, and test them numerically on simulated data. We find that the mean-field bias from masking is significant for the EE quadratic lensing estimator, however the bias-hardened estimator com","authors_text":"Ryuichi Takahashi, Toshiya Namikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-10-09T06:46:56Z","title":"Bias-Hardened CMB Lensing with Polarization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2372","kind":"arxiv","version":4},"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":"sha256:3633d0ba0b442ddfe6da002bbe7876c9c67ea9f068b12fe9850919072587487c","target":"record","created_at":"2026-05-17T23:43:57Z","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":"f5c21b44ccc93fd8a6fad4090050511703df6f33bc496bcc55cf198277bf9e9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-10-09T06:46:56Z","title_canon_sha256":"307c54e29fe27938de83f1e4bef5db76d5c03141e900b681fcd442770c4de327"},"schema_version":"1.0","source":{"id":"1310.2372","kind":"arxiv","version":4}},"canonical_sha256":"c278fc3b5fff53bf4cb5f3e15a9b7b1e68c2f2475a0748680a46fb56f74c459f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c278fc3b5fff53bf4cb5f3e15a9b7b1e68c2f2475a0748680a46fb56f74c459f","first_computed_at":"2026-05-17T23:43:57.088408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:57.088408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SYvYKG9GA0gF8lvwHDi3tdvwlwDYFZTdHEZc2wVEvFHsIZMPpy2omZ2Uw+bis0ZvBCQrS7Xf7tVx/3dE267BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:57.089149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2372","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3633d0ba0b442ddfe6da002bbe7876c9c67ea9f068b12fe9850919072587487c","sha256:c80fa8b2df0a9bdb0a8ef8540442b9172c094065a2f4e5ba068af32481bf9f4a"],"state_sha256":"65ae06123cf0de771484e28e30f33ffeffb4ec4b687776ddc2d52eae12387e22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VsJtgR5/bY9lV78rC6p3k5831AlXF6i7jnZIW7ckxJ14c7WxJSUZqVjn8sxNfMVvhPK5LrD8+slp0i+en49FDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T07:11:23.483827Z","bundle_sha256":"a0432a20d34c400b28e5f7f5c2c8ac9f630e4e7a7db6fe31e6a9cb1f2948d13b"}}