{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:P4CUEOJQJAVU73ROZLNPNQGGSQ","short_pith_number":"pith:P4CUEOJQ","canonical_record":{"source":{"id":"2212.05542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:52:01Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"e7cbc0a5b810582f1b04ceb575f87a27ac1d94545cd0f3d821e8497adb43bcc9","abstract_canon_sha256":"9be88ac1e7a582193fa601a970a73a96c986a99698b95fb63bf2f281b107c70b"},"schema_version":"1.0"},"canonical_sha256":"7f05423930482b4fee2ecadaf6c0c69437b7a45edfc83c4ce98fda139a0bde8e","source":{"kind":"arxiv","id":"2212.05542","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.05542","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"arxiv_version","alias_value":"2212.05542v1","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05542","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_12","alias_value":"P4CUEOJQJAVU","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_16","alias_value":"P4CUEOJQJAVU73RO","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_8","alias_value":"P4CUEOJQ","created_at":"2026-07-05T09:35:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:P4CUEOJQJAVU73ROZLNPNQGGSQ","target":"record","payload":{"canonical_record":{"source":{"id":"2212.05542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:52:01Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"e7cbc0a5b810582f1b04ceb575f87a27ac1d94545cd0f3d821e8497adb43bcc9","abstract_canon_sha256":"9be88ac1e7a582193fa601a970a73a96c986a99698b95fb63bf2f281b107c70b"},"schema_version":"1.0"},"canonical_sha256":"7f05423930482b4fee2ecadaf6c0c69437b7a45edfc83c4ce98fda139a0bde8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:31.662756Z","signature_b64":"J5g6DZ4GRm1IIJchsUb2NtmNE19gCYkx0aklYlqVYto/i49WxYd2z74fqZbxKwI43rz9L8vVlBov6T82NHD2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f05423930482b4fee2ecadaf6c0c69437b7a45edfc83c4ce98fda139a0bde8e","last_reissued_at":"2026-07-05T09:35:31.662308Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:31.662308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.05542","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":"2026-07-05T09:35:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCZjv4xjJQkcoSAixvcrlq5HPO7hgZzaUxV4ZXhTx7i9lZOx+V+ob5Wif7M9kaEbdDqoKCDYT1vps57dXaYaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:54:26.076629Z"},"content_sha256":"095fcec12d888166001507072a1adde03f4af7d6686e61cd0cb11b6cd3c8bda4","schema_version":"1.0","event_id":"sha256:095fcec12d888166001507072a1adde03f4af7d6686e61cd0cb11b6cd3c8bda4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:P4CUEOJQJAVU73ROZLNPNQGGSQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole solutions in the quadratic Weyl conformal geometric theory of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Jin-Zhao Yang, Shahab Shahidi, Tiberiu Harko","submitted_at":"2022-12-11T16:52:01Z","abstract_excerpt":"We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity, after the Weyl gauge field ($\\omega _{\\mu}$) becomes massive through a Stueckelberg mechanism, and it decouples. As a first step in our investigations we write down the conformally invariant gravitational action, containing a scalar degree of freedom, and the Weyl vector. The field equations are derived from the variational"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05542","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/2212.05542/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":"2026-07-05T09:35:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLDzAYYQst2MaL8UjzyFEXSAbqAkDNOyemhOH5n4IJeaXJDrBmAZJS3lctAkl6wZkOmWXf7+KpJZ2G1x+BIwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T03:54:26.077126Z"},"content_sha256":"bd07c5a1265aee6672e4889ccc6ec520d3db0b1b7f56f8729879fb6a010c8724","schema_version":"1.0","event_id":"sha256:bd07c5a1265aee6672e4889ccc6ec520d3db0b1b7f56f8729879fb6a010c8724"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/bundle.json","state_url":"https://pith.science/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/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":"2026-08-04T03:54:26Z","links":{"resolver":"https://pith.science/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ","bundle":"https://pith.science/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/bundle.json","state":"https://pith.science/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P4CUEOJQJAVU73ROZLNPNQGGSQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:P4CUEOJQJAVU73ROZLNPNQGGSQ","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":"9be88ac1e7a582193fa601a970a73a96c986a99698b95fb63bf2f281b107c70b","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:52:01Z","title_canon_sha256":"e7cbc0a5b810582f1b04ceb575f87a27ac1d94545cd0f3d821e8497adb43bcc9"},"schema_version":"1.0","source":{"id":"2212.05542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.05542","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"arxiv_version","alias_value":"2212.05542v1","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05542","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_12","alias_value":"P4CUEOJQJAVU","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_16","alias_value":"P4CUEOJQJAVU73RO","created_at":"2026-07-05T09:35:31Z"},{"alias_kind":"pith_short_8","alias_value":"P4CUEOJQ","created_at":"2026-07-05T09:35:31Z"}],"graph_snapshots":[{"event_id":"sha256:bd07c5a1265aee6672e4889ccc6ec520d3db0b1b7f56f8729879fb6a010c8724","target":"graph","created_at":"2026-07-05T09:35:31Z","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/2212.05542/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity, after the Weyl gauge field ($\\omega _{\\mu}$) becomes massive through a Stueckelberg mechanism, and it decouples. As a first step in our investigations we write down the conformally invariant gravitational action, containing a scalar degree of freedom, and the Weyl vector. The field equations are derived from the variational","authors_text":"Jin-Zhao Yang, Shahab Shahidi, Tiberiu Harko","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:52:01Z","title":"Black hole solutions in the quadratic Weyl conformal geometric theory of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05542","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":"sha256:095fcec12d888166001507072a1adde03f4af7d6686e61cd0cb11b6cd3c8bda4","target":"record","created_at":"2026-07-05T09:35:31Z","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":"9be88ac1e7a582193fa601a970a73a96c986a99698b95fb63bf2f281b107c70b","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-12-11T16:52:01Z","title_canon_sha256":"e7cbc0a5b810582f1b04ceb575f87a27ac1d94545cd0f3d821e8497adb43bcc9"},"schema_version":"1.0","source":{"id":"2212.05542","kind":"arxiv","version":1}},"canonical_sha256":"7f05423930482b4fee2ecadaf6c0c69437b7a45edfc83c4ce98fda139a0bde8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f05423930482b4fee2ecadaf6c0c69437b7a45edfc83c4ce98fda139a0bde8e","first_computed_at":"2026-07-05T09:35:31.662308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:31.662308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J5g6DZ4GRm1IIJchsUb2NtmNE19gCYkx0aklYlqVYto/i49WxYd2z74fqZbxKwI43rz9L8vVlBov6T82NHD2Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:31.662756Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.05542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:095fcec12d888166001507072a1adde03f4af7d6686e61cd0cb11b6cd3c8bda4","sha256:bd07c5a1265aee6672e4889ccc6ec520d3db0b1b7f56f8729879fb6a010c8724"],"state_sha256":"f6a50c5165dcf807ea7054ff4462332f9f469ecac0d83034a50c1d9cbd7253cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nOoqaDejfPQW3olSnA1ZF5mwpkOeaXSNDLXdQGurPLBKGMgEFNafTGoU4gercQ0cS7gHTv2qOu5JjQedbn4FDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T03:54:26.080549Z","bundle_sha256":"78c1a861cc3013bf61d62c8c1b7f5c3f534438b45894edddf3bd39edc22bd877"}}