{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:GIWTP2B72M5VUNL3NYOHIQ2QHC","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":"e66d02684106485cd3e839cc13943db208fc3ee111c87dc77bc45448fec63121","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-09T02:47:06Z","title_canon_sha256":"29dd80a2e916b0b7e82bfb83821b1540980d6eeb66d5de2688ecf7d678f4188e"},"schema_version":"1.0","source":{"id":"astro-ph/9901099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9901099","created_at":"2026-07-04T15:20:40Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9901099v2","created_at":"2026-07-04T15:20:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9901099","created_at":"2026-07-04T15:20:40Z"},{"alias_kind":"pith_short_12","alias_value":"GIWTP2B72M5V","created_at":"2026-07-04T15:20:40Z"},{"alias_kind":"pith_short_16","alias_value":"GIWTP2B72M5VUNL3","created_at":"2026-07-04T15:20:40Z"},{"alias_kind":"pith_short_8","alias_value":"GIWTP2B7","created_at":"2026-07-04T15:20:40Z"}],"graph_snapshots":[{"event_id":"sha256:775111e60d4a695ab57ab05f2d29813a1f15ab2a64265c143e2ec7f63590a6bd","target":"graph","created_at":"2026-07-04T15:20:40Z","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/astro-ph/9901099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gravitational clustering is an intrinsically non-linear process that generates significant non-Gaussian signatures in the density field. We consider how these affect power spectrum determinations from galaxy and weak-lensing surveys. Non-Gaussian effects not only increase the individual error bars compared to the Gaussian case but, most importantly, lead to non-trivial cross-correlations between different band-powers. We calculate the power-spectrum covariance matrix in non-linear perturbation theory (weakly non-linear regime), in the hierarchical model (strongly non-linear regime), and from n","authors_text":"Matias Zaldarriaga & Lam Hui, Roman Scoccimarro","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1999-01-09T02:47:06Z","title":"Power Spectrum Correlations Induced by Non-Linear Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9901099","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":"sha256:48703761fc13fda5f5417159df608c88f45c3120f67707f1b483f08013e46e24","target":"record","created_at":"2026-07-04T15:20:40Z","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":"e66d02684106485cd3e839cc13943db208fc3ee111c87dc77bc45448fec63121","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-09T02:47:06Z","title_canon_sha256":"29dd80a2e916b0b7e82bfb83821b1540980d6eeb66d5de2688ecf7d678f4188e"},"schema_version":"1.0","source":{"id":"astro-ph/9901099","kind":"arxiv","version":2}},"canonical_sha256":"322d37e83fd33b5a357b6e1c7443503896a3b3d41285c7baf5bb9db8ca1434b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"322d37e83fd33b5a357b6e1c7443503896a3b3d41285c7baf5bb9db8ca1434b3","first_computed_at":"2026-07-04T15:20:40.260479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:40.260479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oZUua04NWlRsG1yXF7atVUevKWKz5/Q59ko1YD7I2N1J1pfB4vfKTBNc5h1qp+XPUid6RW9frCT/pRw/AcMNBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:40.260903Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9901099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48703761fc13fda5f5417159df608c88f45c3120f67707f1b483f08013e46e24","sha256:775111e60d4a695ab57ab05f2d29813a1f15ab2a64265c143e2ec7f63590a6bd"],"state_sha256":"bff687f516919eecec00d5207072dce4f2799119566c2c88dd6c9b37f533cea7"}