{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DOHSMGRZINHHD37Z3F6HQJNXRV","short_pith_number":"pith:DOHSMGRZ","canonical_record":{"source":{"id":"1106.5287","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T02:01:01Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"c403ea934aa0a2b2b854ec1f05e9bfc5a3f071e4ba78ee4b3336c0f3b3ec3240","abstract_canon_sha256":"6c65a9166ffeea2dad36f0852e5c67bb29f740a46ce564c98b8d958657c8526a"},"schema_version":"1.0"},"canonical_sha256":"1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7","source":{"kind":"arxiv","id":"1106.5287","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5287","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5287v4","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5287","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"DOHSMGRZINHH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DOHSMGRZINHHD37Z","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DOHSMGRZ","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DOHSMGRZINHHD37Z3F6HQJNXRV","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5287","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T02:01:01Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"c403ea934aa0a2b2b854ec1f05e9bfc5a3f071e4ba78ee4b3336c0f3b3ec3240","abstract_canon_sha256":"6c65a9166ffeea2dad36f0852e5c67bb29f740a46ce564c98b8d958657c8526a"},"schema_version":"1.0"},"canonical_sha256":"1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:42.668075Z","signature_b64":"J4kzFobROOxzJtTJeXMinhE3ak3cVJw6WohvHxZq8uaprBF4pHSmpNPqVXbD3AjdYRWkcE6F3iICwDrWTxmeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7","last_reissued_at":"2026-05-18T01:01:42.667518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:42.667518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5287","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hQyX1WjvOcyLo8ym6x90OSVQfyRvunUU4dsgg6xJf8crsCnQdwuLlAOq4Mgt3iUCv6fTeMj0B0cLn202wyGNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:20:50.190950Z"},"content_sha256":"d5e4c094cb16e39f58655f575b5944896db56c4b8570229037e397140418771e","schema_version":"1.0","event_id":"sha256:d5e4c094cb16e39f58655f575b5944896db56c4b8570229037e397140418771e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DOHSMGRZINHHD37Z3F6HQJNXRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical collapse and black hole formation within an expanding perfect fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Ilia Musco","submitted_at":"2011-06-27T02:01:01Z","abstract_excerpt":"Following on after three previous papers discussing the formation of primordial black holes in the early universe during the radiation dominated era, we present here related results considering the theoretical possibility of having a fluid with a different sound speed. In practice we vary the parameter w of the equation of state p = we between 0 and 1, where e is the energy density, and p the pressure of the fluid. We consider also the possibility of having a cosmological constant interpreted as a vacuum energy component (corresponding to w = -1) revising the results presented in our first pap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5287","kind":"arxiv","version":4},"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":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"slPvFebaxFT2oEujfeLRjLajwdNjkQXOa0+/GnczGA33/tedZ4I4Cta7XxIRR3LZhA3+cGIJqpwAKibkMVrJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:20:50.191294Z"},"content_sha256":"6d0e4fc0d2adaf9b107c1f2b2dfc7440facfb6c21e8d7c759a1a6885746b3c86","schema_version":"1.0","event_id":"sha256:6d0e4fc0d2adaf9b107c1f2b2dfc7440facfb6c21e8d7c759a1a6885746b3c86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/bundle.json","state_url":"https://pith.science/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/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":"2026-05-28T14:20:50Z","links":{"resolver":"https://pith.science/pith/DOHSMGRZINHHD37Z3F6HQJNXRV","bundle":"https://pith.science/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/bundle.json","state":"https://pith.science/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOHSMGRZINHHD37Z3F6HQJNXRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DOHSMGRZINHHD37Z3F6HQJNXRV","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":"6c65a9166ffeea2dad36f0852e5c67bb29f740a46ce564c98b8d958657c8526a","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T02:01:01Z","title_canon_sha256":"c403ea934aa0a2b2b854ec1f05e9bfc5a3f071e4ba78ee4b3336c0f3b3ec3240"},"schema_version":"1.0","source":{"id":"1106.5287","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5287","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5287v4","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5287","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"DOHSMGRZINHH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DOHSMGRZINHHD37Z","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DOHSMGRZ","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:6d0e4fc0d2adaf9b107c1f2b2dfc7440facfb6c21e8d7c759a1a6885746b3c86","target":"graph","created_at":"2026-05-18T01:01:42Z","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":"Following on after three previous papers discussing the formation of primordial black holes in the early universe during the radiation dominated era, we present here related results considering the theoretical possibility of having a fluid with a different sound speed. In practice we vary the parameter w of the equation of state p = we between 0 and 1, where e is the energy density, and p the pressure of the fluid. We consider also the possibility of having a cosmological constant interpreted as a vacuum energy component (corresponding to w = -1) revising the results presented in our first pap","authors_text":"Ilia Musco","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T02:01:01Z","title":"Critical collapse and black hole formation within an expanding perfect fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5287","kind":"arxiv","version":4},"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:d5e4c094cb16e39f58655f575b5944896db56c4b8570229037e397140418771e","target":"record","created_at":"2026-05-18T01:01:42Z","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":"6c65a9166ffeea2dad36f0852e5c67bb29f740a46ce564c98b8d958657c8526a","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-06-27T02:01:01Z","title_canon_sha256":"c403ea934aa0a2b2b854ec1f05e9bfc5a3f071e4ba78ee4b3336c0f3b3ec3240"},"schema_version":"1.0","source":{"id":"1106.5287","kind":"arxiv","version":4}},"canonical_sha256":"1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7","first_computed_at":"2026-05-18T01:01:42.667518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:42.667518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J4kzFobROOxzJtTJeXMinhE3ak3cVJw6WohvHxZq8uaprBF4pHSmpNPqVXbD3AjdYRWkcE6F3iICwDrWTxmeAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:42.668075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5287","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5e4c094cb16e39f58655f575b5944896db56c4b8570229037e397140418771e","sha256:6d0e4fc0d2adaf9b107c1f2b2dfc7440facfb6c21e8d7c759a1a6885746b3c86"],"state_sha256":"4913013be681efbd0188678a04b3ed2cea39c975cebc40abf64f4db210a2ce49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i+pujtiNw8yaNSj9BT54TWf6f6koHPfvRjHUCBZwFpXyQD5p81QBwjFtKBUZ4PZ0vnvXjWfH8CQYNJs5MK+wBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:20:50.193237Z","bundle_sha256":"63558c4b7103bd4b2e2c3855cd4b22f75673e755f3fd796a12da66bcfabb0873"}}