{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:HRJO7UMVDRWX5N5OPSDS5F6EC6","short_pith_number":"pith:HRJO7UMV","canonical_record":{"source":{"id":"2106.14220","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-06-27T12:34:04Z","cross_cats_sorted":[],"title_canon_sha256":"0893f5a2df3add3506380cdd120fa78ea3c856c405e86f002de6766057d4999c","abstract_canon_sha256":"f980c9a3a6e924382605df9cafa24f4e0d04038084caa93de69cc0f4cc4e3415"},"schema_version":"1.0"},"canonical_sha256":"3c52efd1951c6d7eb7ae7c872e97c4179514f29e34fe29af1bc5655e102fbcc6","source":{"kind":"arxiv","id":"2106.14220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.14220","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"2106.14220v2","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.14220","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"HRJO7UMVDRWX","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_16","alias_value":"HRJO7UMVDRWX5N5O","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_8","alias_value":"HRJO7UMV","created_at":"2026-07-05T03:32:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:HRJO7UMVDRWX5N5OPSDS5F6EC6","target":"record","payload":{"canonical_record":{"source":{"id":"2106.14220","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-06-27T12:34:04Z","cross_cats_sorted":[],"title_canon_sha256":"0893f5a2df3add3506380cdd120fa78ea3c856c405e86f002de6766057d4999c","abstract_canon_sha256":"f980c9a3a6e924382605df9cafa24f4e0d04038084caa93de69cc0f4cc4e3415"},"schema_version":"1.0"},"canonical_sha256":"3c52efd1951c6d7eb7ae7c872e97c4179514f29e34fe29af1bc5655e102fbcc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:32:06.431643Z","signature_b64":"CWi2J2qeIKG2NoNZe5Oh874WI1JqaG5UMJyVrwZbEFMWiFlyizJCL21GaoVgXdEtC2y8PW9oRnbUezd/zrdQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c52efd1951c6d7eb7ae7c872e97c4179514f29e34fe29af1bc5655e102fbcc6","last_reissued_at":"2026-07-05T03:32:06.431000Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:32:06.431000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.14220","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":"2026-07-05T03:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2FMdWtqipO3TE6G3kvkIigZP+s3nv4Q4g4WQouEu4upDzbEqktpPRoNx2jJmtgLDFtFcW9pl+Vfu4M8HuLaYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T06:56:32.175040Z"},"content_sha256":"8fdd54319b82ea4b329ce757bec4dc3089a765655c0eeac2bdb177330d50f633","schema_version":"1.0","event_id":"sha256:8fdd54319b82ea4b329ce757bec4dc3089a765655c0eeac2bdb177330d50f633"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:HRJO7UMVDRWX5N5OPSDS5F6EC6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singularity formation in radiating star with dark energy background","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Grishma Verma, Keshav Ram Mishra, Rajesh Kumar","submitted_at":"2021-06-27T12:34:04Z","abstract_excerpt":"In this paper, we considered the gravitational collapse of a symmetric radiating star consisting of perfect fluid (baryonic) in the background of dark energy (DE) with general equation of state. The effect of DE on the singularity formation has been discussed first separately (only DE present) and then combination of both baryonic and DE interaction. We have also showed that DE components play important role in the formation of Black-Hole(BH). In some cases the collapse of radiating star leads to black hole formation and in other cases it forms Naked-Singularity(or, eternally collapse). The pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.14220","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2106.14220/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":"2026-07-05T03:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFlJPgkdr6Mz8GELMJgYg4BuN4m8FDRrUikFLgAPVL8rgJ/vi4ObUDHj6xMNUqIPQ7s7wFIeYczXgI6r9PWPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T06:56:32.175426Z"},"content_sha256":"7b9ecf1df5dbce00bfc0152cf1f39ea761d322ca375646099935795b122ad191","schema_version":"1.0","event_id":"sha256:7b9ecf1df5dbce00bfc0152cf1f39ea761d322ca375646099935795b122ad191"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/bundle.json","state_url":"https://pith.science/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/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":"2026-07-16T06:56:32Z","links":{"resolver":"https://pith.science/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6","bundle":"https://pith.science/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/bundle.json","state":"https://pith.science/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRJO7UMVDRWX5N5OPSDS5F6EC6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HRJO7UMVDRWX5N5OPSDS5F6EC6","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":"f980c9a3a6e924382605df9cafa24f4e0d04038084caa93de69cc0f4cc4e3415","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-06-27T12:34:04Z","title_canon_sha256":"0893f5a2df3add3506380cdd120fa78ea3c856c405e86f002de6766057d4999c"},"schema_version":"1.0","source":{"id":"2106.14220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.14220","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"2106.14220v2","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.14220","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"HRJO7UMVDRWX","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_16","alias_value":"HRJO7UMVDRWX5N5O","created_at":"2026-07-05T03:32:06Z"},{"alias_kind":"pith_short_8","alias_value":"HRJO7UMV","created_at":"2026-07-05T03:32:06Z"}],"graph_snapshots":[{"event_id":"sha256:7b9ecf1df5dbce00bfc0152cf1f39ea761d322ca375646099935795b122ad191","target":"graph","created_at":"2026-07-05T03:32:06Z","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/2106.14220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we considered the gravitational collapse of a symmetric radiating star consisting of perfect fluid (baryonic) in the background of dark energy (DE) with general equation of state. The effect of DE on the singularity formation has been discussed first separately (only DE present) and then combination of both baryonic and DE interaction. We have also showed that DE components play important role in the formation of Black-Hole(BH). In some cases the collapse of radiating star leads to black hole formation and in other cases it forms Naked-Singularity(or, eternally collapse). The pr","authors_text":"Grishma Verma, Keshav Ram Mishra, Rajesh Kumar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-06-27T12:34:04Z","title":"Singularity formation in radiating star with dark energy background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.14220","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":"sha256:8fdd54319b82ea4b329ce757bec4dc3089a765655c0eeac2bdb177330d50f633","target":"record","created_at":"2026-07-05T03:32:06Z","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":"f980c9a3a6e924382605df9cafa24f4e0d04038084caa93de69cc0f4cc4e3415","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-06-27T12:34:04Z","title_canon_sha256":"0893f5a2df3add3506380cdd120fa78ea3c856c405e86f002de6766057d4999c"},"schema_version":"1.0","source":{"id":"2106.14220","kind":"arxiv","version":2}},"canonical_sha256":"3c52efd1951c6d7eb7ae7c872e97c4179514f29e34fe29af1bc5655e102fbcc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c52efd1951c6d7eb7ae7c872e97c4179514f29e34fe29af1bc5655e102fbcc6","first_computed_at":"2026-07-05T03:32:06.431000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:32:06.431000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CWi2J2qeIKG2NoNZe5Oh874WI1JqaG5UMJyVrwZbEFMWiFlyizJCL21GaoVgXdEtC2y8PW9oRnbUezd/zrdQBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:32:06.431643Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.14220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fdd54319b82ea4b329ce757bec4dc3089a765655c0eeac2bdb177330d50f633","sha256:7b9ecf1df5dbce00bfc0152cf1f39ea761d322ca375646099935795b122ad191"],"state_sha256":"1f50f823c5ef6d9c3ad1d6bd9c33213e8ff70c0fc2d38c552f1360e9ed9eefb0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0Xti2uukn2+NLy0ROmurqstp0e9yOfBJBaEItN1kSfVdFnr9wGbjFpoRgPj4SgRf1Vpbe1N+EWsI/Mx9EJl3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T06:56:32.178238Z","bundle_sha256":"ceac3fdd926a50b388e4eaaf34f790a0ffc51b88ed1cfd63bc2ea43f7cbd3266"}}