{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:2F4ZFFIZ7UFYMNMSHANKFU5ZOB","short_pith_number":"pith:2F4ZFFIZ","schema_version":"1.0","canonical_sha256":"d179929519fd0b863592381aa2d3b9705d67d9c767999e304c3dd1e9f6982a3a","source":{"kind":"arxiv","id":"2307.04419","version":2},"attestation_state":"computed","paper":{"title":"Constraints on primordial curvature power spectrum with pulsar timing arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"You Wu, Zhi-Qiang You, Zhu Yi","submitted_at":"2023-07-10T08:51:04Z","abstract_excerpt":"The stochastic signal detected by NANOGrav, PPTA, EPTA, and CPTA can be explained by the scalar-induced gravitational waves. In order to determine the scalar-induced gravitational waves model that best fits the stochastic signal, we employ both single- and double-peak parameterizations for the power spectrum of the primordial curvature perturbations, where the single-peak scenarios include the $\\delta$-function, box, lognormal, and broken power law model, and the double-peak scenario is described by the double lognormal form. Using Bayesian inference, we find that there is no significant evide"},"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":"2307.04419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-07-10T08:51:04Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"a202ffa3c8ee043b01c108b3096a18e36dfb0bd45bb67011d9b3f1198d664170","abstract_canon_sha256":"e756000e8af4256617d4cf5864820ed5fa102ddb41a2f28725293ee5db00bd48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:40:32.260157Z","signature_b64":"7NbvaG9mILj49KdHiw75LvOcQxNvLJAWO0ohvHvXzTbJGfyG7Wi1HxiEUyDm1GKn4UcXC67ITXnvvIksZ1HQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d179929519fd0b863592381aa2d3b9705d67d9c767999e304c3dd1e9f6982a3a","last_reissued_at":"2026-07-05T10:40:32.259718Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:40:32.259718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraints on primordial curvature power spectrum with pulsar timing arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"You Wu, Zhi-Qiang You, Zhu Yi","submitted_at":"2023-07-10T08:51:04Z","abstract_excerpt":"The stochastic signal detected by NANOGrav, PPTA, EPTA, and CPTA can be explained by the scalar-induced gravitational waves. In order to determine the scalar-induced gravitational waves model that best fits the stochastic signal, we employ both single- and double-peak parameterizations for the power spectrum of the primordial curvature perturbations, where the single-peak scenarios include the $\\delta$-function, box, lognormal, and broken power law model, and the double-peak scenario is described by the double lognormal form. Using Bayesian inference, we find that there is no significant evide"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04419","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.04419/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":"2307.04419","created_at":"2026-07-05T10:40:32.259775+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.04419v2","created_at":"2026-07-05T10:40:32.259775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.04419","created_at":"2026-07-05T10:40:32.259775+00:00"},{"alias_kind":"pith_short_12","alias_value":"2F4ZFFIZ7UFY","created_at":"2026-07-05T10:40:32.259775+00:00"},{"alias_kind":"pith_short_16","alias_value":"2F4ZFFIZ7UFYMNMS","created_at":"2026-07-05T10:40:32.259775+00:00"},{"alias_kind":"pith_short_8","alias_value":"2F4ZFFIZ","created_at":"2026-07-05T10:40:32.259775+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28296","citing_title":"Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2505.16820","citing_title":"Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order","ref_index":266,"is_internal_anchor":false},{"citing_arxiv_id":"2507.09552","citing_title":"Probing the scalar-induced gravitational waves with the Five-hundred-meter Aperture Spherical radio Telescope and the Square Kilometer Array","ref_index":67,"is_internal_anchor":false},{"citing_arxiv_id":"2512.08301","citing_title":"Isocurvature Induced Gravitational Waves at Pulsar Timing Arrays","ref_index":83,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20063","citing_title":"Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB","json":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB.json","graph_json":"https://pith.science/api/pith-number/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/graph.json","events_json":"https://pith.science/api/pith-number/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/events.json","paper":"https://pith.science/paper/2F4ZFFIZ"},"agent_actions":{"view_html":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB","download_json":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB.json","view_paper":"https://pith.science/paper/2F4ZFFIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.04419&json=true","fetch_graph":"https://pith.science/api/pith-number/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/graph.json","fetch_events":"https://pith.science/api/pith-number/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/action/storage_attestation","attest_author":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/action/author_attestation","sign_citation":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/action/citation_signature","submit_replication":"https://pith.science/pith/2F4ZFFIZ7UFYMNMSHANKFU5ZOB/action/replication_record"}},"created_at":"2026-07-05T10:40:32.259775+00:00","updated_at":"2026-07-05T10:40:32.259775+00:00"}