{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y7LFAJOFRRMF3NJ6YX7JGO4VOX","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":"d5bb7dba5cfc176c5521cbb5454a58d89c54ef9bdc0943e6739a09832fd4e1b1","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-09-03T18:14:59Z","title_canon_sha256":"5080dda02e5d5975f84e559d65a09f4b94ec90713260e6c968dd50a222eb61d7"},"schema_version":"1.0","source":{"id":"1909.01385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.01385","created_at":"2026-07-05T00:06:57Z"},{"alias_kind":"arxiv_version","alias_value":"1909.01385v1","created_at":"2026-07-05T00:06:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.01385","created_at":"2026-07-05T00:06:57Z"},{"alias_kind":"pith_short_12","alias_value":"Y7LFAJOFRRMF","created_at":"2026-07-05T00:06:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y7LFAJOFRRMF3NJ6","created_at":"2026-07-05T00:06:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y7LFAJOF","created_at":"2026-07-05T00:06:57Z"}],"graph_snapshots":[{"event_id":"sha256:b1c9f55b6c11f776c76b16f19a744453d8d8332147cf1f6a27411943dffaa20b","target":"graph","created_at":"2026-07-05T00:06:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1909.01385/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I present analytic error formulae for the energy-dependent cross-spectrum and rms spectrum, which are Fourier statistics widely used to probe the rapid X-ray variability observed from accreting compact objects. The new formulae cover the modulus, phase, real and imaginary parts of the cross-spectrum, and are valid for any value of intrinsic coherence between variability in different energy bands. I show that existing error formulae (including that for the phase lag), which are valid for a single cross-spectrum or power spectrum, lead to over-fitting when applied to the energy-dependent cross-s","authors_text":"Adam Ingram","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-09-03T18:14:59Z","title":"Error formulae for the energy-dependent cross-spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.01385","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":"sha256:53bd2bff7b309058a1f1da55f1c3d6b63274aaa4d92c89daa4ec5e34bd7a7c32","target":"record","created_at":"2026-07-05T00:06:57Z","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":"d5bb7dba5cfc176c5521cbb5454a58d89c54ef9bdc0943e6739a09832fd4e1b1","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2019-09-03T18:14:59Z","title_canon_sha256":"5080dda02e5d5975f84e559d65a09f4b94ec90713260e6c968dd50a222eb61d7"},"schema_version":"1.0","source":{"id":"1909.01385","kind":"arxiv","version":1}},"canonical_sha256":"c7d65025c58c585db53ec5fe933b9575fa2326a0b0d6008e35bb4e995998e6d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7d65025c58c585db53ec5fe933b9575fa2326a0b0d6008e35bb4e995998e6d5","first_computed_at":"2026-07-05T00:06:57.353434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:06:57.353434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vLqSkSaebychmceN7JN1MMD++KKyMD8g4BiqIS+6jDlRY7uxA6Icd/K/5dQOAREVdLZqtenn6Fw7VvzDusM2BA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:06:57.353854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.01385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53bd2bff7b309058a1f1da55f1c3d6b63274aaa4d92c89daa4ec5e34bd7a7c32","sha256:b1c9f55b6c11f776c76b16f19a744453d8d8332147cf1f6a27411943dffaa20b"],"state_sha256":"de18b10edb1d6ff6c434dc09e798ac42cb63d39337affbe9918c1456a69dbaef"}