{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DAB5H6RXRATQKM2TV2U62F4KB7","short_pith_number":"pith:DAB5H6RX","canonical_record":{"source":{"id":"2105.14523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-30T12:49:17Z","cross_cats_sorted":[],"title_canon_sha256":"4550a5b9e501dc72f6743d9e7ba23eae630d191f6c2b1ad1b5181028d1a7d6a9","abstract_canon_sha256":"4ccb4b980f1194556f308e19eedc0ff0ffdd0a7f800ed7a34b6d3d0c11e98292"},"schema_version":"1.0"},"canonical_sha256":"1803d3fa378827053353aea9ed178a0ff4ccbeebd23567bfb889f1614a055cda","source":{"kind":"arxiv","id":"2105.14523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.14523","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"2105.14523v1","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.14523","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"DAB5H6RXRATQ","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_16","alias_value":"DAB5H6RXRATQKM2T","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_8","alias_value":"DAB5H6RX","created_at":"2026-07-05T02:44:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DAB5H6RXRATQKM2TV2U62F4KB7","target":"record","payload":{"canonical_record":{"source":{"id":"2105.14523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-30T12:49:17Z","cross_cats_sorted":[],"title_canon_sha256":"4550a5b9e501dc72f6743d9e7ba23eae630d191f6c2b1ad1b5181028d1a7d6a9","abstract_canon_sha256":"4ccb4b980f1194556f308e19eedc0ff0ffdd0a7f800ed7a34b6d3d0c11e98292"},"schema_version":"1.0"},"canonical_sha256":"1803d3fa378827053353aea9ed178a0ff4ccbeebd23567bfb889f1614a055cda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:44:38.585611Z","signature_b64":"fwxhSn6vQZ0mqBIpeHrtNQZaVqSDdv8DI6aRf2HshMOP0VYo5cmtnBgTyNH/LUtRk4bfVHMHjPOd3OTBDLxzCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1803d3fa378827053353aea9ed178a0ff4ccbeebd23567bfb889f1614a055cda","last_reissued_at":"2026-07-05T02:44:38.585155Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:44:38.585155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.14523","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IJK2dSgmzMfakFByfV2V1CXy68ciboYCYPFD59Efa3mOraLYbFKyC0i2HzdSZwLtXKZP9Yi8VNy+oLSByJ4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:14:36.867083Z"},"content_sha256":"a84f934c6edee37c4431328388039eaf83c80d32d51f54bcfe62b374c91e0836","schema_version":"1.0","event_id":"sha256:a84f934c6edee37c4431328388039eaf83c80d32d51f54bcfe62b374c91e0836"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DAB5H6RXRATQKM2TV2U62F4KB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Merger Rate of Black Holes in a Primordial Black Hole Cluster","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alexander A. Kirillov, Viktor D. Stasenko","submitted_at":"2021-05-30T12:49:17Z","abstract_excerpt":"In this paper, the merger rate of black holes in a cluster of primordial black holes (PBHs) is investigated. The clusters have characteristics close to those of typical globular star clusters. A cluster that has a wide mass spectrum ranging from $10^{-2}$ to $10 \\, M_{\\odot}$ (Solar mass) and contains a massive central black hole of the mass $M_{\\bullet} = 10^3 \\, M_{\\odot}$ is considered. It is shown that in the process of the evolution of cluster, the merger rate changed significantly, and by now, the PBH clusters have passed the stage of active merging of the black holes inside~them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.14523","kind":"arxiv","version":1},"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/2105.14523/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:44:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bu4HdywRoYFIYv++GV/hje55cn/x/hFS9YYN/Ma2v5rN2y79KpFdkKSQbK+eunxJ+VoHIh14sPiaD5d4Q2q7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T13:14:36.867960Z"},"content_sha256":"bb9455aacc9f4ec31f07842e00b6ab9368ca97367c322d7ee34e4a8e6fdf8b84","schema_version":"1.0","event_id":"sha256:bb9455aacc9f4ec31f07842e00b6ab9368ca97367c322d7ee34e4a8e6fdf8b84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAB5H6RXRATQKM2TV2U62F4KB7/bundle.json","state_url":"https://pith.science/pith/DAB5H6RXRATQKM2TV2U62F4KB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAB5H6RXRATQKM2TV2U62F4KB7/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":"2026-08-21T13:14:36Z","links":{"resolver":"https://pith.science/pith/DAB5H6RXRATQKM2TV2U62F4KB7","bundle":"https://pith.science/pith/DAB5H6RXRATQKM2TV2U62F4KB7/bundle.json","state":"https://pith.science/pith/DAB5H6RXRATQKM2TV2U62F4KB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAB5H6RXRATQKM2TV2U62F4KB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DAB5H6RXRATQKM2TV2U62F4KB7","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":"4ccb4b980f1194556f308e19eedc0ff0ffdd0a7f800ed7a34b6d3d0c11e98292","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-30T12:49:17Z","title_canon_sha256":"4550a5b9e501dc72f6743d9e7ba23eae630d191f6c2b1ad1b5181028d1a7d6a9"},"schema_version":"1.0","source":{"id":"2105.14523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.14523","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"2105.14523v1","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.14523","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"DAB5H6RXRATQ","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_16","alias_value":"DAB5H6RXRATQKM2T","created_at":"2026-07-05T02:44:38Z"},{"alias_kind":"pith_short_8","alias_value":"DAB5H6RX","created_at":"2026-07-05T02:44:38Z"}],"graph_snapshots":[{"event_id":"sha256:bb9455aacc9f4ec31f07842e00b6ab9368ca97367c322d7ee34e4a8e6fdf8b84","target":"graph","created_at":"2026-07-05T02:44:38Z","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/2105.14523/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, the merger rate of black holes in a cluster of primordial black holes (PBHs) is investigated. The clusters have characteristics close to those of typical globular star clusters. A cluster that has a wide mass spectrum ranging from $10^{-2}$ to $10 \\, M_{\\odot}$ (Solar mass) and contains a massive central black hole of the mass $M_{\\bullet} = 10^3 \\, M_{\\odot}$ is considered. It is shown that in the process of the evolution of cluster, the merger rate changed significantly, and by now, the PBH clusters have passed the stage of active merging of the black holes inside~them.","authors_text":"Alexander A. Kirillov, Viktor D. Stasenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-30T12:49:17Z","title":"The Merger Rate of Black Holes in a Primordial Black Hole Cluster"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.14523","kind":"arxiv","version":1},"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:a84f934c6edee37c4431328388039eaf83c80d32d51f54bcfe62b374c91e0836","target":"record","created_at":"2026-07-05T02:44:38Z","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":"4ccb4b980f1194556f308e19eedc0ff0ffdd0a7f800ed7a34b6d3d0c11e98292","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-30T12:49:17Z","title_canon_sha256":"4550a5b9e501dc72f6743d9e7ba23eae630d191f6c2b1ad1b5181028d1a7d6a9"},"schema_version":"1.0","source":{"id":"2105.14523","kind":"arxiv","version":1}},"canonical_sha256":"1803d3fa378827053353aea9ed178a0ff4ccbeebd23567bfb889f1614a055cda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1803d3fa378827053353aea9ed178a0ff4ccbeebd23567bfb889f1614a055cda","first_computed_at":"2026-07-05T02:44:38.585155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:44:38.585155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fwxhSn6vQZ0mqBIpeHrtNQZaVqSDdv8DI6aRf2HshMOP0VYo5cmtnBgTyNH/LUtRk4bfVHMHjPOd3OTBDLxzCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:44:38.585611Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.14523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a84f934c6edee37c4431328388039eaf83c80d32d51f54bcfe62b374c91e0836","sha256:bb9455aacc9f4ec31f07842e00b6ab9368ca97367c322d7ee34e4a8e6fdf8b84"],"state_sha256":"8b4d52f42177b762c0235e22a6a0d303cdeceb5f013389b1680f547dfa252c0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a5d1DJhOb12cXQKQV/tTEF42YyB0PJ7kWn/8qQlnkLxPUH7zzBGXsvzDtNKm3agPPGBWIkxEtX/A2XdEMLxPDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T13:14:36.874226Z","bundle_sha256":"d2ab481fa30301c42ccedfd0ce8270ccbbb2c9443f1246741e03a54479eb7e8e"}}