{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5HR62YOXAC5HL734LREXQQDEJ5","short_pith_number":"pith:5HR62YOX","canonical_record":{"source":{"id":"2410.06189","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-08T16:52:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a08acd7319670246dfb1f9a2de082d30b062959a4ab8ab31e8a9f637236fafe5","abstract_canon_sha256":"a8af63ff0283bae5b366820fda7f186ab4f208081652fbd6ebf7c695b93d6c74"},"schema_version":"1.0"},"canonical_sha256":"e9e3ed61d700ba75ff7c5c497840644f433fb7a29661b756addad94c3f6b9613","source":{"kind":"arxiv","id":"2410.06189","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.06189","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2410.06189v2","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.06189","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"5HR62YOXAC5H","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"5HR62YOXAC5HL734","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"5HR62YOX","created_at":"2026-07-05T09:59:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5HR62YOXAC5HL734LREXQQDEJ5","target":"record","payload":{"canonical_record":{"source":{"id":"2410.06189","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-08T16:52:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a08acd7319670246dfb1f9a2de082d30b062959a4ab8ab31e8a9f637236fafe5","abstract_canon_sha256":"a8af63ff0283bae5b366820fda7f186ab4f208081652fbd6ebf7c695b93d6c74"},"schema_version":"1.0"},"canonical_sha256":"e9e3ed61d700ba75ff7c5c497840644f433fb7a29661b756addad94c3f6b9613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:00.325836Z","signature_b64":"gGIE42sTxddZoiYQu4rP+zgx9VShVj04KHXBH8n9aQVcNcOj68zi/0SSyoOgjjK+eACoIQTg/Hb5/EddCiT8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9e3ed61d700ba75ff7c5c497840644f433fb7a29661b756addad94c3f6b9613","last_reissued_at":"2026-07-05T09:59:00.325393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:00.325393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.06189","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":"2026-07-05T09:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJEBqGLLDq519orsgDd5z7eB8wmnVEvooJvQq5PXgxS6vYtsAjmm0p9uAZQ5ZqEcOaxCE4Gku/T/sxcVe/1/Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:33:55.556326Z"},"content_sha256":"744e39d95adea44b10353b6c671a2df7fadcb61d54ae061492c2f830940879c2","schema_version":"1.0","event_id":"sha256:744e39d95adea44b10353b6c671a2df7fadcb61d54ae061492c2f830940879c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5HR62YOXAC5HL734LREXQQDEJ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"G. Alencar, Milko Estrada, T. M. Crispim","submitted_at":"2024-10-08T16:52:50Z","abstract_excerpt":"We provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes to suppress the bulk singularities. Thus, we provide a regular braneworld black hole setup. To achieve this, we apply a Minimal Geometric Deformation (MGD) with respect to a coupling constant $ \\alpha $ to the $4D$ Minkowski spacetime embedded in an extra dimension. This results in a gravitational decoupling into a system $ \\mathcal{A} $ with equations of motion of order $ \\alpha^0 $ and a system $ \\mathcal{B} $, related to the so-called Quasi-Einstein equations of order $ \\alpha $. This me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.06189","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/2410.06189/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":"2026-07-05T09:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sLG6GLDGE7DBX5MpSxjH5Eecmlvs+GJn6cqGwfh7vUo9C4hAsjAHCFLQ4AJHyN5W7Zx+eB2PhdIoElXvBLlKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T08:33:55.557282Z"},"content_sha256":"5f7082f1ba08dbfc36d786261c7fb49074b34e6179cce25938897d7c227928d3","schema_version":"1.0","event_id":"sha256:5f7082f1ba08dbfc36d786261c7fb49074b34e6179cce25938897d7c227928d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HR62YOXAC5HL734LREXQQDEJ5/bundle.json","state_url":"https://pith.science/pith/5HR62YOXAC5HL734LREXQQDEJ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HR62YOXAC5HL734LREXQQDEJ5/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":"2026-08-17T08:33:55Z","links":{"resolver":"https://pith.science/pith/5HR62YOXAC5HL734LREXQQDEJ5","bundle":"https://pith.science/pith/5HR62YOXAC5HL734LREXQQDEJ5/bundle.json","state":"https://pith.science/pith/5HR62YOXAC5HL734LREXQQDEJ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HR62YOXAC5HL734LREXQQDEJ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5HR62YOXAC5HL734LREXQQDEJ5","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":"a8af63ff0283bae5b366820fda7f186ab4f208081652fbd6ebf7c695b93d6c74","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-08T16:52:50Z","title_canon_sha256":"a08acd7319670246dfb1f9a2de082d30b062959a4ab8ab31e8a9f637236fafe5"},"schema_version":"1.0","source":{"id":"2410.06189","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.06189","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2410.06189v2","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.06189","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"5HR62YOXAC5H","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"5HR62YOXAC5HL734","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"5HR62YOX","created_at":"2026-07-05T09:59:00Z"}],"graph_snapshots":[{"event_id":"sha256:5f7082f1ba08dbfc36d786261c7fb49074b34e6179cce25938897d7c227928d3","target":"graph","created_at":"2026-07-05T09:59:00Z","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/2410.06189/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a methodology for decoupling the bulk gravitational field equations of braneworld black holes to suppress the bulk singularities. Thus, we provide a regular braneworld black hole setup. To achieve this, we apply a Minimal Geometric Deformation (MGD) with respect to a coupling constant $ \\alpha $ to the $4D$ Minkowski spacetime embedded in an extra dimension. This results in a gravitational decoupling into a system $ \\mathcal{A} $ with equations of motion of order $ \\alpha^0 $ and a system $ \\mathcal{B} $, related to the so-called Quasi-Einstein equations of order $ \\alpha $. This me","authors_text":"G. Alencar, Milko Estrada, T. M. Crispim","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-08T16:52:50Z","title":"A way of decoupling the gravitational bulk field equations of regular braneworld black holes to suppress the bulk singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.06189","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":"sha256:744e39d95adea44b10353b6c671a2df7fadcb61d54ae061492c2f830940879c2","target":"record","created_at":"2026-07-05T09:59:00Z","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":"a8af63ff0283bae5b366820fda7f186ab4f208081652fbd6ebf7c695b93d6c74","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-10-08T16:52:50Z","title_canon_sha256":"a08acd7319670246dfb1f9a2de082d30b062959a4ab8ab31e8a9f637236fafe5"},"schema_version":"1.0","source":{"id":"2410.06189","kind":"arxiv","version":2}},"canonical_sha256":"e9e3ed61d700ba75ff7c5c497840644f433fb7a29661b756addad94c3f6b9613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9e3ed61d700ba75ff7c5c497840644f433fb7a29661b756addad94c3f6b9613","first_computed_at":"2026-07-05T09:59:00.325393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:00.325393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gGIE42sTxddZoiYQu4rP+zgx9VShVj04KHXBH8n9aQVcNcOj68zi/0SSyoOgjjK+eACoIQTg/Hb5/EddCiT8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:00.325836Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.06189","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:744e39d95adea44b10353b6c671a2df7fadcb61d54ae061492c2f830940879c2","sha256:5f7082f1ba08dbfc36d786261c7fb49074b34e6179cce25938897d7c227928d3"],"state_sha256":"3a24b59d906b9615deddf6eded1efe839dd47f4849d6d5f89814d9716a3071a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hC+PiRbRNma4DC/WOi2jqvoCW3pQoS/UXDFTPGK/ve+LOCrpAFebQA/MrbDbn5KcCLtzTTvrfwsVclStPIV0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T08:33:55.572892Z","bundle_sha256":"b223fa2d5cbe76da180d65bc3f9357d558925330ea0ff8211bebde424356c82f"}}