{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PWLNFINYBBOYELAKIEAJ5SJZZM","short_pith_number":"pith:PWLNFINY","canonical_record":{"source":{"id":"1505.02188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-04T14:58:47Z","cross_cats_sorted":[],"title_canon_sha256":"ae930fba2dcba81a5e906680daf087ddf487f714d4dddeed8bcc9339d03c598e","abstract_canon_sha256":"0d9ea8fbeb33bcb7e09b775e807a91ebead67ba8db995862ad2f5d62c06787ba"},"schema_version":"1.0"},"canonical_sha256":"7d96d2a1b8085d822c0a41009ec939cb376b5f5fd6ec1ac093ddf2e58d6f7ad0","source":{"kind":"arxiv","id":"1505.02188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02188","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02188v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02188","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"PWLNFINYBBOY","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PWLNFINYBBOYELAK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PWLNFINY","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PWLNFINYBBOYELAKIEAJ5SJZZM","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-04T14:58:47Z","cross_cats_sorted":[],"title_canon_sha256":"ae930fba2dcba81a5e906680daf087ddf487f714d4dddeed8bcc9339d03c598e","abstract_canon_sha256":"0d9ea8fbeb33bcb7e09b775e807a91ebead67ba8db995862ad2f5d62c06787ba"},"schema_version":"1.0"},"canonical_sha256":"7d96d2a1b8085d822c0a41009ec939cb376b5f5fd6ec1ac093ddf2e58d6f7ad0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:19.626929Z","signature_b64":"UApqvfEcXPrXqTx4+xfiwsyW5/qxY8xmIRAQRSc+kGcQN1hGJQvlaPc4G8U0DTBD9FQHoevOUWW1cDZB6iK5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d96d2a1b8085d822c0a41009ec939cb376b5f5fd6ec1ac093ddf2e58d6f7ad0","last_reissued_at":"2026-05-18T02:16:19.626298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:19.626298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02188","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":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ejg5AYMxBL0LN4lQXeASbDZTCPknDlqh8bwGExvHLjw24Nq+VO9bUjqU4GB/sXiKOMee+kbmCtwYxvUrIaf6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:32:53.770138Z"},"content_sha256":"dd978472bf0fc999c2d7b1e5a02d8326faee7f0d90914486341eb02054ba3bc8","schema_version":"1.0","event_id":"sha256:dd978472bf0fc999c2d7b1e5a02d8326faee7f0d90914486341eb02054ba3bc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PWLNFINYBBOYELAKIEAJ5SJZZM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherically symmetric solutions in a FRW background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"H. Moradpour, N. Riazi","submitted_at":"2015-05-04T14:58:47Z","abstract_excerpt":"We impose perfect fluid concept along with slow expansion approximation to derive new solutions which, considering non-static spherically symmetric metrics, can be treated as Black Holes (BHs). We will refer to these solutions as Quasi BHs. Mathematical and physical features such as Killing vectors, singularities, and mass have been studied. Their horizons and thermodynamic properties have also been investigated. In addition, relationship with other related works (including McVittie's) are described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02188","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":""},"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":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6sVtJDMCLo3t3kqg2VI9PbQUARkoozL+Bc8uoul+BlboJe4P7Kyf9PvkNzTYNUkpeDg/Qv3F1lgbVIc/321aCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:32:53.770627Z"},"content_sha256":"eaa19989fbab2fd4ca08e08321da0318f539f8aa37dd685d10341774cecd5f00","schema_version":"1.0","event_id":"sha256:eaa19989fbab2fd4ca08e08321da0318f539f8aa37dd685d10341774cecd5f00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/bundle.json","state_url":"https://pith.science/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/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":"2026-06-04T08:32:53Z","links":{"resolver":"https://pith.science/pith/PWLNFINYBBOYELAKIEAJ5SJZZM","bundle":"https://pith.science/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/bundle.json","state":"https://pith.science/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWLNFINYBBOYELAKIEAJ5SJZZM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PWLNFINYBBOYELAKIEAJ5SJZZM","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":"0d9ea8fbeb33bcb7e09b775e807a91ebead67ba8db995862ad2f5d62c06787ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-04T14:58:47Z","title_canon_sha256":"ae930fba2dcba81a5e906680daf087ddf487f714d4dddeed8bcc9339d03c598e"},"schema_version":"1.0","source":{"id":"1505.02188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02188","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02188v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02188","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"PWLNFINYBBOY","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PWLNFINYBBOYELAK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PWLNFINY","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:eaa19989fbab2fd4ca08e08321da0318f539f8aa37dd685d10341774cecd5f00","target":"graph","created_at":"2026-05-18T02:16:19Z","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":"We impose perfect fluid concept along with slow expansion approximation to derive new solutions which, considering non-static spherically symmetric metrics, can be treated as Black Holes (BHs). We will refer to these solutions as Quasi BHs. Mathematical and physical features such as Killing vectors, singularities, and mass have been studied. Their horizons and thermodynamic properties have also been investigated. In addition, relationship with other related works (including McVittie's) are described.","authors_text":"H. Moradpour, N. Riazi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-04T14:58:47Z","title":"Spherically symmetric solutions in a FRW background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02188","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:dd978472bf0fc999c2d7b1e5a02d8326faee7f0d90914486341eb02054ba3bc8","target":"record","created_at":"2026-05-18T02:16:19Z","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":"0d9ea8fbeb33bcb7e09b775e807a91ebead67ba8db995862ad2f5d62c06787ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-04T14:58:47Z","title_canon_sha256":"ae930fba2dcba81a5e906680daf087ddf487f714d4dddeed8bcc9339d03c598e"},"schema_version":"1.0","source":{"id":"1505.02188","kind":"arxiv","version":1}},"canonical_sha256":"7d96d2a1b8085d822c0a41009ec939cb376b5f5fd6ec1ac093ddf2e58d6f7ad0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d96d2a1b8085d822c0a41009ec939cb376b5f5fd6ec1ac093ddf2e58d6f7ad0","first_computed_at":"2026-05-18T02:16:19.626298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:19.626298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UApqvfEcXPrXqTx4+xfiwsyW5/qxY8xmIRAQRSc+kGcQN1hGJQvlaPc4G8U0DTBD9FQHoevOUWW1cDZB6iK5AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:19.626929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd978472bf0fc999c2d7b1e5a02d8326faee7f0d90914486341eb02054ba3bc8","sha256:eaa19989fbab2fd4ca08e08321da0318f539f8aa37dd685d10341774cecd5f00"],"state_sha256":"80508ef7420e85a71b776f58139a63e8bb560d22d72f46764d3e4ddd4f5af3da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U9C405an1oGdhDle6S8hr6w1HzVdH5AzbvrDTD4J0LsFzCvaKiGp7o0QW3Fci/5fTYBOOtEjwqSzHUF032chBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:32:53.772760Z","bundle_sha256":"f2c38773028bfc557a91ea46caced33090a5b44b43bf4deabbe03770159bbe42"}}