{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:UTOTQLC6QSFBORH4GDHY3OZ52H","short_pith_number":"pith:UTOTQLC6","schema_version":"1.0","canonical_sha256":"a4dd382c5e848a1744fc30cf8dbb3dd1fa86cb4f6d26429efa9e03dbb7473eb8","source":{"kind":"arxiv","id":"2305.01116","version":1},"attestation_state":"computed","paper":{"title":"Analytic distribution of the optimal cross-correlation statistic for stochastic gravitational-wave-background searches using pulsar timing arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"gr-qc","authors_text":"Anne M. Archibald, Jeffrey S. Hazboun, Joseph D. Romano, Patrick M. Meyers, Xavier Siemens","submitted_at":"2023-05-01T23:04:55Z","abstract_excerpt":"We show via both analytical calculation and numerical simulation that the optimal cross-correlation statistic (OS) for stochastic gravitational-wave-background (GWB) searches using data from pulsar timing arrays follows a generalized chi-squared (GX2) distribution-i.e., a linear combination of chi-squared distributions with coefficients given by the eigenvalues of the quadratic form defining the statistic. This observation is particularly important for calculating the frequentist statistical significance of a possible GWB detection, which depends on the exact form of the distribution of the OS"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2305.01116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-05-01T23:04:55Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"1c8f8141f3fcd9e49dd087dc80daf2666107217292aa2c45b17a09ad9c38d31e","abstract_canon_sha256":"f56c8ccb074030c4f5e94a8ccf56ca6104cda71f020867b9e4692160b05faaf1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:06:21.681321Z","signature_b64":"Pq8khihWEWeqXM3u5ucppkfzCWzm8WPJi17APkJhSzEPBSJNe9B0FjFa3tgtvAUiMD33nGig7l4wJ7VyJTc+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4dd382c5e848a1744fc30cf8dbb3dd1fa86cb4f6d26429efa9e03dbb7473eb8","last_reissued_at":"2026-07-05T06:06:21.680872Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:06:21.680872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic distribution of the optimal cross-correlation statistic for stochastic gravitational-wave-background searches using pulsar timing arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"gr-qc","authors_text":"Anne M. Archibald, Jeffrey S. Hazboun, Joseph D. Romano, Patrick M. Meyers, Xavier Siemens","submitted_at":"2023-05-01T23:04:55Z","abstract_excerpt":"We show via both analytical calculation and numerical simulation that the optimal cross-correlation statistic (OS) for stochastic gravitational-wave-background (GWB) searches using data from pulsar timing arrays follows a generalized chi-squared (GX2) distribution-i.e., a linear combination of chi-squared distributions with coefficients given by the eigenvalues of the quadratic form defining the statistic. This observation is particularly important for calculating the frequentist statistical significance of a possible GWB detection, which depends on the exact form of the distribution of the OS"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01116","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.01116/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2305.01116","created_at":"2026-07-05T06:06:21.680930+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.01116v1","created_at":"2026-07-05T06:06:21.680930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01116","created_at":"2026-07-05T06:06:21.680930+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTOTQLC6QSFB","created_at":"2026-07-05T06:06:21.680930+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTOTQLC6QSFBORH4","created_at":"2026-07-05T06:06:21.680930+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTOTQLC6","created_at":"2026-07-05T06:06:21.680930+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.24082","citing_title":"Detecting Gravitational-Wave Anisotropies with Simulation-Based Inference","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2512.08666","citing_title":"Stochastic gravitational-wave background search using data from five pulsar timing arrays","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2306.16214","citing_title":"The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H","json":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H.json","graph_json":"https://pith.science/api/pith-number/UTOTQLC6QSFBORH4GDHY3OZ52H/graph.json","events_json":"https://pith.science/api/pith-number/UTOTQLC6QSFBORH4GDHY3OZ52H/events.json","paper":"https://pith.science/paper/UTOTQLC6"},"agent_actions":{"view_html":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H","download_json":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H.json","view_paper":"https://pith.science/paper/UTOTQLC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.01116&json=true","fetch_graph":"https://pith.science/api/pith-number/UTOTQLC6QSFBORH4GDHY3OZ52H/graph.json","fetch_events":"https://pith.science/api/pith-number/UTOTQLC6QSFBORH4GDHY3OZ52H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H/action/storage_attestation","attest_author":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H/action/author_attestation","sign_citation":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H/action/citation_signature","submit_replication":"https://pith.science/pith/UTOTQLC6QSFBORH4GDHY3OZ52H/action/replication_record"}},"created_at":"2026-07-05T06:06:21.680930+00:00","updated_at":"2026-07-05T06:06:21.680930+00:00"}