{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:C6O43526XNQ2J65FZBTTZMQSXH","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":"81774d1c4a657ce63430def44d9913d6d6e329443751696e2760f681243731dc","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-26T04:49:04Z","title_canon_sha256":"632d3ad6b279ad9b3f2f1d4574e4830221fe45cfe899e2a093503f90e252e470"},"schema_version":"1.0","source":{"id":"2304.13284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.13284","created_at":"2026-07-05T06:38:55Z"},{"alias_kind":"arxiv_version","alias_value":"2304.13284v2","created_at":"2026-07-05T06:38:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.13284","created_at":"2026-07-05T06:38:55Z"},{"alias_kind":"pith_short_12","alias_value":"C6O43526XNQ2","created_at":"2026-07-05T06:38:55Z"},{"alias_kind":"pith_short_16","alias_value":"C6O43526XNQ2J65F","created_at":"2026-07-05T06:38:55Z"},{"alias_kind":"pith_short_8","alias_value":"C6O43526","created_at":"2026-07-05T06:38:55Z"}],"graph_snapshots":[{"event_id":"sha256:4295b962eb374775f473e4eb67af56cbafd9f95a79481f09993c82a00a2ef6af","target":"graph","created_at":"2026-07-05T06:38:55Z","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/2304.13284/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Shibata and Sasaki [arXiv:gr-qc/9905064] introduced the so-called compaction function. Since then, it has been empirically established that the maximum value of this function (or its volume-averaged counterpart) in the long-wavelength solutions gives a very robust threshold of primordial black hole formation. In this paper, we show that in spite of initial intention, the Shibata-Sasaki compaction function cannot be interpreted as the ratio of the mass excess to the areal radius in the constant-mean-curvature slice of their choice but coincides with that in the {\\it comoving} slice up to a cons","authors_text":"Chul-Moon Yoo, Tomohiro Harada, Yasutaka Koga","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-26T04:49:04Z","title":"Revisiting compaction functions for primordial black hole formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.13284","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":"sha256:1ac6234242795ca2305dd4c1771b429861e5f1b50fc77eb898044899cc3e8237","target":"record","created_at":"2026-07-05T06:38:55Z","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":"81774d1c4a657ce63430def44d9913d6d6e329443751696e2760f681243731dc","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-26T04:49:04Z","title_canon_sha256":"632d3ad6b279ad9b3f2f1d4574e4830221fe45cfe899e2a093503f90e252e470"},"schema_version":"1.0","source":{"id":"2304.13284","kind":"arxiv","version":2}},"canonical_sha256":"179dcdf75ebb61a4fba5c8673cb212b9e21c1d9f3d957b0f09af21d9f060e86f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"179dcdf75ebb61a4fba5c8673cb212b9e21c1d9f3d957b0f09af21d9f060e86f","first_computed_at":"2026-07-05T06:38:55.143670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:38:55.143670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MY1n+wlHnCj4OJABlLuEdTUOCyw3mnRsjo5dfqSawIYECmsokTUI2bGA65Vk71OWRAp7k+33QyWfCGACXsKCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:38:55.144164Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.13284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ac6234242795ca2305dd4c1771b429861e5f1b50fc77eb898044899cc3e8237","sha256:4295b962eb374775f473e4eb67af56cbafd9f95a79481f09993c82a00a2ef6af"],"state_sha256":"255fd3753c98e3f1f2dd8ffda71b9bb5285120f57bded249917bbb403fde5cb4"}