{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:LZBQK25PWW7GBUSGEHINGPETVP","short_pith_number":"pith:LZBQK25P","canonical_record":{"source":{"id":"0907.3229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-18T16:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"b9ea4921a3688fe40d04097ba55bf3ce5aefce9055fd035ae01929d445306095","abstract_canon_sha256":"0f4d0059ab6d836b099cc62adeb96aed9cb6d418366bca25ea94539ef34b3e32"},"schema_version":"1.0"},"canonical_sha256":"5e43056bafb5be60d24621d0d33c93abc811ac72add66450fd008503ecb9c355","source":{"kind":"arxiv","id":"0907.3229","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3229","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3229v1","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3229","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"LZBQK25PWW7G","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LZBQK25PWW7GBUSG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LZBQK25P","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:LZBQK25PWW7GBUSGEHINGPETVP","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-18T16:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"b9ea4921a3688fe40d04097ba55bf3ce5aefce9055fd035ae01929d445306095","abstract_canon_sha256":"0f4d0059ab6d836b099cc62adeb96aed9cb6d418366bca25ea94539ef34b3e32"},"schema_version":"1.0"},"canonical_sha256":"5e43056bafb5be60d24621d0d33c93abc811ac72add66450fd008503ecb9c355","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:55.847967Z","signature_b64":"vdJ3GEuJ/f4kPl7klFCOUVtVLlzzkFa3DplUemB19TJTFq+bYEnMBrMDIHdbI5Pdp/lUaHEl5zEvoTqtdACvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e43056bafb5be60d24621d0d33c93abc811ac72add66450fd008503ecb9c355","last_reissued_at":"2026-05-18T02:12:55.847554Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:55.847554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3229","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFmGmI8VT4rYIONtZsNW+39jV6XSZt5T08Wfs9t8Q8PjFNCCUcfBN7BgA0JDnZd+0CYPTeZFRD6gHAOvQ16bAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:14.147359Z"},"content_sha256":"0c9bfa0a0dd0a64c32c9b3d8cf3c389bea3d8d235afbcc6b3fcc45c92135e4a1","schema_version":"1.0","event_id":"sha256:0c9bfa0a0dd0a64c32c9b3d8cf3c389bea3d8d235afbcc6b3fcc45c92135e4a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:LZBQK25PWW7GBUSGEHINGPETVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secondary non-Gaussianity and Cross-Correlation Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alan Heavens, Asantha Cooray, Dipak Munshi, Patrick Valageas","submitted_at":"2009-07-18T16:00:10Z","abstract_excerpt":"We develop optimised estimators of two sorts of power spectra for fields defined on the sky, in the presence of partial sky coverage. The first is the cross-power spectrum of two fields on the sky; the second is the skew spectrum of three fields. These can probe the Integrated Sachs Wolfe Effect (ISW) at large angular scales and the Sunyaev Z\\'eldovich (SZ) effect from hot gas in clusters at small angular scales. The skew spectrum, recently introduced by Munshi & Heavens (2009), is an optimised statistic which can be tuned to study a particular form of non-Gaussianity, such as may arise in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3229","kind":"arxiv","version":1},"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":"2026-05-18T02:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8E6qv6+tPv5PgHzy6fhdHD002uLcrmMaaLtwxKw6VM/YQnd/Mr8MIs6WgdseXO13YkDBnGtRuKRESAEolRm1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:14.147706Z"},"content_sha256":"9f5c0bb1843d4ead5bd913de1eecba481a2113ca1229b80681ca65737e067274","schema_version":"1.0","event_id":"sha256:9f5c0bb1843d4ead5bd913de1eecba481a2113ca1229b80681ca65737e067274"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZBQK25PWW7GBUSGEHINGPETVP/bundle.json","state_url":"https://pith.science/pith/LZBQK25PWW7GBUSGEHINGPETVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZBQK25PWW7GBUSGEHINGPETVP/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":"2026-06-02T11:23:14Z","links":{"resolver":"https://pith.science/pith/LZBQK25PWW7GBUSGEHINGPETVP","bundle":"https://pith.science/pith/LZBQK25PWW7GBUSGEHINGPETVP/bundle.json","state":"https://pith.science/pith/LZBQK25PWW7GBUSGEHINGPETVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZBQK25PWW7GBUSGEHINGPETVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LZBQK25PWW7GBUSGEHINGPETVP","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":"0f4d0059ab6d836b099cc62adeb96aed9cb6d418366bca25ea94539ef34b3e32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-18T16:00:10Z","title_canon_sha256":"b9ea4921a3688fe40d04097ba55bf3ce5aefce9055fd035ae01929d445306095"},"schema_version":"1.0","source":{"id":"0907.3229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3229","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3229v1","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3229","created_at":"2026-05-18T02:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"LZBQK25PWW7G","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LZBQK25PWW7GBUSG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LZBQK25P","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:9f5c0bb1843d4ead5bd913de1eecba481a2113ca1229b80681ca65737e067274","target":"graph","created_at":"2026-05-18T02:12:55Z","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 develop optimised estimators of two sorts of power spectra for fields defined on the sky, in the presence of partial sky coverage. The first is the cross-power spectrum of two fields on the sky; the second is the skew spectrum of three fields. These can probe the Integrated Sachs Wolfe Effect (ISW) at large angular scales and the Sunyaev Z\\'eldovich (SZ) effect from hot gas in clusters at small angular scales. The skew spectrum, recently introduced by Munshi & Heavens (2009), is an optimised statistic which can be tuned to study a particular form of non-Gaussianity, such as may arise in the","authors_text":"Alan Heavens, Asantha Cooray, Dipak Munshi, Patrick Valageas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-18T16:00:10Z","title":"Secondary non-Gaussianity and Cross-Correlation Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3229","kind":"arxiv","version":1},"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":"sha256:0c9bfa0a0dd0a64c32c9b3d8cf3c389bea3d8d235afbcc6b3fcc45c92135e4a1","target":"record","created_at":"2026-05-18T02:12:55Z","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":"0f4d0059ab6d836b099cc62adeb96aed9cb6d418366bca25ea94539ef34b3e32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-07-18T16:00:10Z","title_canon_sha256":"b9ea4921a3688fe40d04097ba55bf3ce5aefce9055fd035ae01929d445306095"},"schema_version":"1.0","source":{"id":"0907.3229","kind":"arxiv","version":1}},"canonical_sha256":"5e43056bafb5be60d24621d0d33c93abc811ac72add66450fd008503ecb9c355","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e43056bafb5be60d24621d0d33c93abc811ac72add66450fd008503ecb9c355","first_computed_at":"2026-05-18T02:12:55.847554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:55.847554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vdJ3GEuJ/f4kPl7klFCOUVtVLlzzkFa3DplUemB19TJTFq+bYEnMBrMDIHdbI5Pdp/lUaHEl5zEvoTqtdACvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:55.847967Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c9bfa0a0dd0a64c32c9b3d8cf3c389bea3d8d235afbcc6b3fcc45c92135e4a1","sha256:9f5c0bb1843d4ead5bd913de1eecba481a2113ca1229b80681ca65737e067274"],"state_sha256":"e874cd55e2b2df4404dbddf166c49d9496f5605f52a5d0e6a9dbe79b573e3b3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kIVLKpUpW+mgJ1XrwzoXhOUL5vZDIc7NosYPnajhf6IzGFo/J8jUti/OWEiD8icuecrhw+t/Y94MmlS7VddIAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:23:14.149548Z","bundle_sha256":"da6b9022176d9c8f9f0727d5de52d12762f9505228fedf4562f2c7cc2a557565"}}