{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:R52IPOXB6U7BB6MDRNXEK7OBCK","short_pith_number":"pith:R52IPOXB","schema_version":"1.0","canonical_sha256":"8f7487bae1f53e10f9838b6e457dc112aec73bd4725e6be09f4db3c016eb8e31","source":{"kind":"arxiv","id":"2207.11041","version":2},"attestation_state":"computed","paper":{"title":"Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Theodoros Papanikolaou","submitted_at":"2022-07-22T12:24:36Z","abstract_excerpt":"The gravitational potential of initially Poisson distributed primordial black holes (PBH) can induce a stochastic gravitational-wave background (SGWB) at second order in cosmological perturbation theory. This SGWB was previously studied in the context of general relativity (GR) and modified gravity setups by assuming a monochromatic PBH mass function. Here we extend the previous analysis in the context of GR by studying the aforementioned SGWB within more physically realistic regimes where PBHs have different masses. In particular, starting from a power-law cosmologically motivated primordial "},"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":"2207.11041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-07-22T12:24:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ce46190cbb2a9a900c499795b656c06eb608a765fdba900991587f416cfbe3c4","abstract_canon_sha256":"6a531b6f7ee51dd319e67c98ed1d733a587e8e677ab497408b9030f2a914498f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:11:41.273984Z","signature_b64":"Y1C3LrA0zUPSqOyJNZFpEbAevu85CG9EaeJLVFpt7f6O22+UjmRnfj9/HjS2KrU9LX7FoFaeT/KUgq1tBOtHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f7487bae1f53e10f9838b6e457dc112aec73bd4725e6be09f4db3c016eb8e31","last_reissued_at":"2026-07-05T05:11:41.273466Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:11:41.273466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Theodoros Papanikolaou","submitted_at":"2022-07-22T12:24:36Z","abstract_excerpt":"The gravitational potential of initially Poisson distributed primordial black holes (PBH) can induce a stochastic gravitational-wave background (SGWB) at second order in cosmological perturbation theory. This SGWB was previously studied in the context of general relativity (GR) and modified gravity setups by assuming a monochromatic PBH mass function. Here we extend the previous analysis in the context of GR by studying the aforementioned SGWB within more physically realistic regimes where PBHs have different masses. In particular, starting from a power-law cosmologically motivated primordial "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.11041","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/2207.11041/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":"2207.11041","created_at":"2026-07-05T05:11:41.273524+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.11041v2","created_at":"2026-07-05T05:11:41.273524+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.11041","created_at":"2026-07-05T05:11:41.273524+00:00"},{"alias_kind":"pith_short_12","alias_value":"R52IPOXB6U7B","created_at":"2026-07-05T05:11:41.273524+00:00"},{"alias_kind":"pith_short_16","alias_value":"R52IPOXB6U7BB6MD","created_at":"2026-07-05T05:11:41.273524+00:00"},{"alias_kind":"pith_short_8","alias_value":"R52IPOXB","created_at":"2026-07-05T05:11:41.273524+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23787","citing_title":"Multi-peaked high-frequency gravitational waves from PBH-assisted leptogenesis","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2606.09804","citing_title":"Universal Suppression of Gravitational Waves from Black Hole Evaporation Dynamics","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2605.24715","citing_title":"Gravitational Waves from Post-Inflationary Magnetism: Direct and Scalar-Induced Contributions","ref_index":124,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21474","citing_title":"Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component","ref_index":299,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08336","citing_title":"Primordial Black Hole Hotspots Beyond Flat Spacetime","ref_index":49,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK","json":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK.json","graph_json":"https://pith.science/api/pith-number/R52IPOXB6U7BB6MDRNXEK7OBCK/graph.json","events_json":"https://pith.science/api/pith-number/R52IPOXB6U7BB6MDRNXEK7OBCK/events.json","paper":"https://pith.science/paper/R52IPOXB"},"agent_actions":{"view_html":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK","download_json":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK.json","view_paper":"https://pith.science/paper/R52IPOXB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.11041&json=true","fetch_graph":"https://pith.science/api/pith-number/R52IPOXB6U7BB6MDRNXEK7OBCK/graph.json","fetch_events":"https://pith.science/api/pith-number/R52IPOXB6U7BB6MDRNXEK7OBCK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK/action/storage_attestation","attest_author":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK/action/author_attestation","sign_citation":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK/action/citation_signature","submit_replication":"https://pith.science/pith/R52IPOXB6U7BB6MDRNXEK7OBCK/action/replication_record"}},"created_at":"2026-07-05T05:11:41.273524+00:00","updated_at":"2026-07-05T05:11:41.273524+00:00"}