{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TZY776B56FSVFPJTJ5ZD5WY7LT","short_pith_number":"pith:TZY776B5","canonical_record":{"source":{"id":"0810.1960","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-13T19:25:02Z","cross_cats_sorted":[],"title_canon_sha256":"a9d9af213c119e7bb53f23c62ac3b6e59c84cb046a591e4acb29b6e4c3f0aa89","abstract_canon_sha256":"77e9cfea45c0770fc2a5dce5bc249ab253356f122f4a082e8e5c5073a40d97ac"},"schema_version":"1.0"},"canonical_sha256":"9e71fff83df16552bd334f723edb1f5cdc2e587f596acd500ec3938a00c0c669","source":{"kind":"arxiv","id":"0810.1960","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1960","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1960v2","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1960","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"TZY776B56FSV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TZY776B56FSVFPJT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TZY776B5","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TZY776B56FSVFPJTJ5ZD5WY7LT","target":"record","payload":{"canonical_record":{"source":{"id":"0810.1960","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-13T19:25:02Z","cross_cats_sorted":[],"title_canon_sha256":"a9d9af213c119e7bb53f23c62ac3b6e59c84cb046a591e4acb29b6e4c3f0aa89","abstract_canon_sha256":"77e9cfea45c0770fc2a5dce5bc249ab253356f122f4a082e8e5c5073a40d97ac"},"schema_version":"1.0"},"canonical_sha256":"9e71fff83df16552bd334f723edb1f5cdc2e587f596acd500ec3938a00c0c669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:32.248240Z","signature_b64":"z8Qa1out3tBUk8B53T8/e8FFIr2RSqq+Kygo5ei2xaw2D/zAzs/jGnAUAqm4LeQDZaYWf03S6AQlz48hE/NACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e71fff83df16552bd334f723edb1f5cdc2e587f596acd500ec3938a00c0c669","last_reissued_at":"2026-05-18T02:15:32.247465Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:32.247465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.1960","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":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2qZlFfJl5lA/uS6WuCAf10u9EVEPzGPsCAZxXq4iaLolZB89KN0cjPsoV09ffVTTD089yJIYVw+RCWkpUdYEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:38:29.033272Z"},"content_sha256":"27c72a1e4db7fb90ad3c3105581ef27d701e829d204f74af0dec66d3b69496ad","schema_version":"1.0","event_id":"sha256:27c72a1e4db7fb90ad3c3105581ef27d701e829d204f74af0dec66d3b69496ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TZY776B56FSVFPJTJ5ZD5WY7LT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariance of cross-correlations: towards efficient measures for large-scale structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Robert E. Smith (ITP, UZurich)","submitted_at":"2008-10-13T19:25:02Z","abstract_excerpt":"We study the covariance of the cross-power spectrum of different tracers for the large-scale structure. We develop the counts-in-cells framework for the multi-tracer approach, and use this to derive expressions for the full non-Gaussian covariance matrix. We show, that for the usual auto-power statistic, besides the off-diagonal covariance generated through gravitational mode-coupling, the discreteness of the tracers and their associated sampling distribution can generate strong off-diagonal covariance, and that this becomes the dominant source of covariance as k>>k_f=2 pi/L. On comparison wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1960","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":""},"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":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9BgSGKF9hG3Fd1LIXwvTfXf5caXJKE1yEmC0cI00o7hv8rIhGAKSchimTaOvbZycG30uGrQbAs3rTFjNcLUqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:38:29.034075Z"},"content_sha256":"c75608aba832eecc65eaa56fc0d75c6456272df2ede4605e8d7631330ce00c98","schema_version":"1.0","event_id":"sha256:c75608aba832eecc65eaa56fc0d75c6456272df2ede4605e8d7631330ce00c98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/bundle.json","state_url":"https://pith.science/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/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":"2026-08-17T13:38:29Z","links":{"resolver":"https://pith.science/pith/TZY776B56FSVFPJTJ5ZD5WY7LT","bundle":"https://pith.science/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/bundle.json","state":"https://pith.science/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZY776B56FSVFPJTJ5ZD5WY7LT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TZY776B56FSVFPJTJ5ZD5WY7LT","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":"77e9cfea45c0770fc2a5dce5bc249ab253356f122f4a082e8e5c5073a40d97ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-13T19:25:02Z","title_canon_sha256":"a9d9af213c119e7bb53f23c62ac3b6e59c84cb046a591e4acb29b6e4c3f0aa89"},"schema_version":"1.0","source":{"id":"0810.1960","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1960","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1960v2","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1960","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"TZY776B56FSV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TZY776B56FSVFPJT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TZY776B5","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:c75608aba832eecc65eaa56fc0d75c6456272df2ede4605e8d7631330ce00c98","target":"graph","created_at":"2026-05-18T02:15:32Z","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 covariance of the cross-power spectrum of different tracers for the large-scale structure. We develop the counts-in-cells framework for the multi-tracer approach, and use this to derive expressions for the full non-Gaussian covariance matrix. We show, that for the usual auto-power statistic, besides the off-diagonal covariance generated through gravitational mode-coupling, the discreteness of the tracers and their associated sampling distribution can generate strong off-diagonal covariance, and that this becomes the dominant source of covariance as k>>k_f=2 pi/L. On comparison wit","authors_text":"Robert E. Smith (ITP, UZurich)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-13T19:25:02Z","title":"Covariance of cross-correlations: towards efficient measures for large-scale structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1960","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":"sha256:27c72a1e4db7fb90ad3c3105581ef27d701e829d204f74af0dec66d3b69496ad","target":"record","created_at":"2026-05-18T02:15:32Z","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":"77e9cfea45c0770fc2a5dce5bc249ab253356f122f4a082e8e5c5073a40d97ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-13T19:25:02Z","title_canon_sha256":"a9d9af213c119e7bb53f23c62ac3b6e59c84cb046a591e4acb29b6e4c3f0aa89"},"schema_version":"1.0","source":{"id":"0810.1960","kind":"arxiv","version":2}},"canonical_sha256":"9e71fff83df16552bd334f723edb1f5cdc2e587f596acd500ec3938a00c0c669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e71fff83df16552bd334f723edb1f5cdc2e587f596acd500ec3938a00c0c669","first_computed_at":"2026-05-18T02:15:32.247465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:32.247465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z8Qa1out3tBUk8B53T8/e8FFIr2RSqq+Kygo5ei2xaw2D/zAzs/jGnAUAqm4LeQDZaYWf03S6AQlz48hE/NACA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:32.248240Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.1960","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27c72a1e4db7fb90ad3c3105581ef27d701e829d204f74af0dec66d3b69496ad","sha256:c75608aba832eecc65eaa56fc0d75c6456272df2ede4605e8d7631330ce00c98"],"state_sha256":"5c8dec018dea32c3f778a21e122f71c1efe6f34a892d32b681fbd076623864c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWIB+Zii2le6j2Y/7hoBi3cD9OT6hORmEW3bQ59wVBtCbHMlha/I0zXuG/GKkIpjT35TaLzu3MbGf6YQBp1/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T13:38:29.044220Z","bundle_sha256":"82ae812e190aabe9b8180133a78b84ca5eaf9f88c7f17cfc83894f1c8485b472"}}