{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FMTKRACNSOAXTPIX3EDVRCEAP3","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":"a060e03a2a351cec5fd802fa2e3aaededf48778e6a02b8d82aceacf64f04d99a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-08-07T17:46:48Z","title_canon_sha256":"893a2bd6133e643fa78672630eb2d52b66811412716aa18bd6a6589b39f562c9"},"schema_version":"1.0","source":{"id":"2008.03289","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.03289","created_at":"2026-07-05T02:13:16Z"},{"alias_kind":"arxiv_version","alias_value":"2008.03289v2","created_at":"2026-07-05T02:13:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.03289","created_at":"2026-07-05T02:13:16Z"},{"alias_kind":"pith_short_12","alias_value":"FMTKRACNSOAX","created_at":"2026-07-05T02:13:16Z"},{"alias_kind":"pith_short_16","alias_value":"FMTKRACNSOAXTPIX","created_at":"2026-07-05T02:13:16Z"},{"alias_kind":"pith_short_8","alias_value":"FMTKRACN","created_at":"2026-07-05T02:13:16Z"}],"graph_snapshots":[{"event_id":"sha256:4b675987a407ae26430ec2b418cc871ee6904a204226b2cbf5f4668db5927e42","target":"graph","created_at":"2026-07-05T02:13:16Z","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/2008.03289/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compare primordial black hole (PBH) constraints on the power spectrum and mass distributions using the traditional Press Schechter formalism, peaks theory, and a recently developed version of peaks theory relevant to PBHs. We show that, provided the PBH formation criteria and the power spectrum smoothing are treated consistently, the constraints only vary by $\\sim$10\\% between methods (a difference that will become increasingly important with better data). Our robust constraints from PBHs take into account the effects of critical collapse, the non-linear relation between $\\zeta$ and $\\delta","authors_text":"Andrew D. Gow, Christian T. Byrnes, Philippa S. Cole, Sam Young","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-08-07T17:46:48Z","title":"The power spectrum on small scales: Robust constraints and comparing PBH methodologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.03289","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":"sha256:923a6a54fe4774d013fe72493d8e7a6a2f18dd1d86d6751c7590d63c627aaffb","target":"record","created_at":"2026-07-05T02:13:16Z","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":"a060e03a2a351cec5fd802fa2e3aaededf48778e6a02b8d82aceacf64f04d99a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-08-07T17:46:48Z","title_canon_sha256":"893a2bd6133e643fa78672630eb2d52b66811412716aa18bd6a6589b39f562c9"},"schema_version":"1.0","source":{"id":"2008.03289","kind":"arxiv","version":2}},"canonical_sha256":"2b26a8804d938179bd17d9075888807ee8b61d21d6e7860e77a946e3b9b4d83c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b26a8804d938179bd17d9075888807ee8b61d21d6e7860e77a946e3b9b4d83c","first_computed_at":"2026-07-05T02:13:16.619953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:13:16.619953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fDXaQo2PtFKgrWvMappVhOAqquiBWts2qubp/tmbKu5f3mD58w/66ycAhpRoPG5JRf6zy8TO7HkAliu33oiQDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:13:16.620427Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.03289","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:923a6a54fe4774d013fe72493d8e7a6a2f18dd1d86d6751c7590d63c627aaffb","sha256:4b675987a407ae26430ec2b418cc871ee6904a204226b2cbf5f4668db5927e42"],"state_sha256":"1ea86e9606e356aa6ae0fd9373044a369aebae58ee40961407a3eacd0e258453"}