{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:KRNT2OHZ26T5XKEHRD3VTOOGE3","short_pith_number":"pith:KRNT2OHZ","canonical_record":{"source":{"id":"astro-ph/9901268","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-20T11:49:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4d55cfce6d4efdb3f3cd6dc8520f21633bb0c92c5675e5d644fb337bf41f8b00","abstract_canon_sha256":"8a0a94ea4c7f427842f9f94e9f8e7e60e3f3e78f2aca782fef61649132847250"},"schema_version":"1.0"},"canonical_sha256":"545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861","source":{"kind":"arxiv","id":"astro-ph/9901268","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9901268","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9901268v2","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9901268","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"KRNT2OHZ26T5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KRNT2OHZ26T5XKEH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KRNT2OHZ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:KRNT2OHZ26T5XKEHRD3VTOOGE3","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9901268","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-20T11:49:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4d55cfce6d4efdb3f3cd6dc8520f21633bb0c92c5675e5d644fb337bf41f8b00","abstract_canon_sha256":"8a0a94ea4c7f427842f9f94e9f8e7e60e3f3e78f2aca782fef61649132847250"},"schema_version":"1.0"},"canonical_sha256":"545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:01.278828Z","signature_b64":"/63cyjiRuh+KOp7t1mkRV17KFFCWJMGWQGpKcXWEVJAm5LGcb0iypUUzydo12obFTOs7r0PTQ44eSLz5K67rAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861","last_reissued_at":"2026-05-18T01:08:01.278334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:01.278334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9901268","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2kwn9o13WOrEt/4Eei9MRryqLIVLW/AsJ2oiKYKg/S7fu7LTVTn1eBZpli0raRrOG0f3ktYnjB1uB+Oft7x0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:36:00.682004Z"},"content_sha256":"fc1959f2ce57940b20fa2a154bee195af7b7367d77a7a25f1a802a516823b7c1","schema_version":"1.0","event_id":"sha256:fc1959f2ce57940b20fa2a154bee195af7b7367d77a7a25f1a802a516823b7c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:KRNT2OHZ26T5XKEHRD3VTOOGE3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical collapse and the primordial black hole initial mass function","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"Andrew R Liddle, Anne M Green","submitted_at":"1999-01-20T11:49:14Z","abstract_excerpt":"It has normally been assumed that primordial black holes (PBHs) always form with mass approximately equal to the mass contained within the horizon at that time. Recent work studying the application of critical phenomena in gravitational collapse to PBH formation has shown that in fact, at a fixed time, PBHs with a range of masses are formed. When calculating the PBH initial mass function it is usually assumed that all PBHs form at the same horizon mass. It is not clear, however, that it is consistent to consider the spread in the mass of PBHs formed at a single horizon mass, whilst neglecting "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9901268","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:08:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+szLiuQ/jmguvN3TI3UcY5a+SEKC9UG6cKosOYI+xIDpsu5iFYxe66dYA9RMRqzFCQcqv3RPNz+mvG4pdCttDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:36:00.682783Z"},"content_sha256":"bdd1bfe8a0f53d9d654f104a2b35a9e11a77b4a782df8f7444ac6ab1501536f0","schema_version":"1.0","event_id":"sha256:bdd1bfe8a0f53d9d654f104a2b35a9e11a77b4a782df8f7444ac6ab1501536f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/bundle.json","state_url":"https://pith.science/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T05:36:00Z","links":{"resolver":"https://pith.science/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3","bundle":"https://pith.science/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/bundle.json","state":"https://pith.science/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRNT2OHZ26T5XKEHRD3VTOOGE3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:KRNT2OHZ26T5XKEHRD3VTOOGE3","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":"8a0a94ea4c7f427842f9f94e9f8e7e60e3f3e78f2aca782fef61649132847250","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-20T11:49:14Z","title_canon_sha256":"4d55cfce6d4efdb3f3cd6dc8520f21633bb0c92c5675e5d644fb337bf41f8b00"},"schema_version":"1.0","source":{"id":"astro-ph/9901268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9901268","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9901268v2","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9901268","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"KRNT2OHZ26T5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KRNT2OHZ26T5XKEH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KRNT2OHZ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:bdd1bfe8a0f53d9d654f104a2b35a9e11a77b4a782df8f7444ac6ab1501536f0","target":"graph","created_at":"2026-05-18T01:08:01Z","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":"It has normally been assumed that primordial black holes (PBHs) always form with mass approximately equal to the mass contained within the horizon at that time. Recent work studying the application of critical phenomena in gravitational collapse to PBH formation has shown that in fact, at a fixed time, PBHs with a range of masses are formed. When calculating the PBH initial mass function it is usually assumed that all PBHs form at the same horizon mass. It is not clear, however, that it is consistent to consider the spread in the mass of PBHs formed at a single horizon mass, whilst neglecting ","authors_text":"Andrew R Liddle, Anne M Green","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1999-01-20T11:49:14Z","title":"Critical collapse and the primordial black hole initial mass function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9901268","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:fc1959f2ce57940b20fa2a154bee195af7b7367d77a7a25f1a802a516823b7c1","target":"record","created_at":"2026-05-18T01:08:01Z","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":"8a0a94ea4c7f427842f9f94e9f8e7e60e3f3e78f2aca782fef61649132847250","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"astro-ph","submitted_at":"1999-01-20T11:49:14Z","title_canon_sha256":"4d55cfce6d4efdb3f3cd6dc8520f21633bb0c92c5675e5d644fb337bf41f8b00"},"schema_version":"1.0","source":{"id":"astro-ph/9901268","kind":"arxiv","version":2}},"canonical_sha256":"545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"545b3d38f9d7a7dba88788f759b9c626f238ef24334fb03b5eb6cdc1ffcc0861","first_computed_at":"2026-05-18T01:08:01.278334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:01.278334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/63cyjiRuh+KOp7t1mkRV17KFFCWJMGWQGpKcXWEVJAm5LGcb0iypUUzydo12obFTOs7r0PTQ44eSLz5K67rAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:01.278828Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9901268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc1959f2ce57940b20fa2a154bee195af7b7367d77a7a25f1a802a516823b7c1","sha256:bdd1bfe8a0f53d9d654f104a2b35a9e11a77b4a782df8f7444ac6ab1501536f0"],"state_sha256":"4c096809434a1d3da86a3c523f63a20ee7378fda90abf37ac1f88d09bf709f3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cU5m023uC5M7Xj541Cl74D0KY7qcI2M5J4BVp2VudvPkGumDq2dDH+zQL4ZOpIFRma0iGQFuxoTdWxa95zHrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:36:00.686806Z","bundle_sha256":"31164f6f9e104ea8dc407a2400f9999c248e9bacd0ebc57b838397e4631b46b5"}}