{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C55EWP5CPVG7D6OVASTO7WVCHW","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":"f823eb3e5c9a0de229237c2040952eac43d896107fd608e6dd36dd36a1045b71","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2013-10-20T04:08:41Z","title_canon_sha256":"9268b9534f8c095fb41f8522c5aa0faccae8dca25e650bb614b99c75ce981d25"},"schema_version":"1.0","source":{"id":"1310.5300","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5300","created_at":"2026-05-18T01:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5300v2","created_at":"2026-05-18T01:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5300","created_at":"2026-05-18T01:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"C55EWP5CPVG7","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C55EWP5CPVG7D6OV","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C55EWP5C","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:03a43efa061e407ea7f5831f2cc135f6a3ce85332ee6851368667fd6f56f46ea","target":"graph","created_at":"2026-05-18T01:46:57Z","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"},"paper":{"abstract_excerpt":"We propose a graphical representation of detector sensitivity curves for stochastic gravitational-wave backgrounds that takes into account the increase in sensitivity that comes from integrating over frequency in addition to integrating over time. This method is valid for backgrounds that have a power-law spectrum in the analysis band. We call these graphs \"power-law integrated curves.\" For simplicity, we consider cross-correlation searches for unpolarized and isotropic stochastic backgrounds using two or more detectors. We apply our method to construct power-law integrated sensitivity curves ","authors_text":"Eric Thrane, Joseph D Romano","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2013-10-20T04:08:41Z","title":"Sensitivity curves for searches for gravitational-wave backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5300","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":"sha256:097753d93a5c2a644580d56435949dddf8c7e8472d8c8b5c6f329d5b39b52407","target":"record","created_at":"2026-05-18T01:46:57Z","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":"f823eb3e5c9a0de229237c2040952eac43d896107fd608e6dd36dd36a1045b71","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2013-10-20T04:08:41Z","title_canon_sha256":"9268b9534f8c095fb41f8522c5aa0faccae8dca25e650bb614b99c75ce981d25"},"schema_version":"1.0","source":{"id":"1310.5300","kind":"arxiv","version":2}},"canonical_sha256":"177a4b3fa27d4df1f9d504a6efdaa23db3ce1cb4ad47ed18fee89929b9cb4a83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"177a4b3fa27d4df1f9d504a6efdaa23db3ce1cb4ad47ed18fee89929b9cb4a83","first_computed_at":"2026-05-18T01:46:57.402921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:57.402921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VnrElYwgk85TEMdbPD/xsucVTMOgQhdR9HTurOO2ZxW1O/AWzHz7zbO8VbcBbWjtzBXEmTOf+pIhCyExmHlHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:57.403464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5300","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:097753d93a5c2a644580d56435949dddf8c7e8472d8c8b5c6f329d5b39b52407","sha256:03a43efa061e407ea7f5831f2cc135f6a3ce85332ee6851368667fd6f56f46ea"],"state_sha256":"83d27dac2403976273b2548672788dd12ecbaf6753431227a552493935401b48"}