{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:X6THKFWQ5JBDFEF5CFP5BPN5H7","short_pith_number":"pith:X6THKFWQ","canonical_record":{"source":{"id":"2406.00997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T05:13:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8ea589743ed4469870824120b9724cbc0173f3959d32b26b1bc8ca3cd7858faa","abstract_canon_sha256":"3beaaba88b5caff44e163892cda3443e28dd49da65c42df502ffdbfaa2718736"},"schema_version":"1.0"},"canonical_sha256":"bfa67516d0ea423290bd115fd0bdbd3ff6c246e2456bef0d9ed3a7c429958e55","source":{"kind":"arxiv","id":"2406.00997","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00997","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00997v2","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00997","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_12","alias_value":"X6THKFWQ5JBD","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_16","alias_value":"X6THKFWQ5JBDFEF5","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_8","alias_value":"X6THKFWQ","created_at":"2026-07-05T09:40:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:X6THKFWQ5JBDFEF5CFP5BPN5H7","target":"record","payload":{"canonical_record":{"source":{"id":"2406.00997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T05:13:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8ea589743ed4469870824120b9724cbc0173f3959d32b26b1bc8ca3cd7858faa","abstract_canon_sha256":"3beaaba88b5caff44e163892cda3443e28dd49da65c42df502ffdbfaa2718736"},"schema_version":"1.0"},"canonical_sha256":"bfa67516d0ea423290bd115fd0bdbd3ff6c246e2456bef0d9ed3a7c429958e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:58.196845Z","signature_b64":"nTlX02uXvU9pthegeMPCBX/qGRRpOGrFGGFa8g0hfK/A8NlgxgYOkB3XG8iKh0ByPRyOgBjzwKfeL09fr+AsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfa67516d0ea423290bd115fd0bdbd3ff6c246e2456bef0d9ed3a7c429958e55","last_reissued_at":"2026-07-05T09:40:58.196348Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:58.196348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.00997","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":"2026-07-05T09:40:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXa9TTJOUJ3pAR2jc0RZDNBbJ21pPPCu6ZaYU5U9nK0w5OXgAKTYtVTeUWhVmGhBdfe+3wgvaK4q3KENh45SBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:38:44.184628Z"},"content_sha256":"4635c6250149de90726ddb4d3949febb545ab3cf37841e4d9922ebfd819647f5","schema_version":"1.0","event_id":"sha256:4635c6250149de90726ddb4d3949febb545ab3cf37841e4d9922ebfd819647f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:X6THKFWQ5JBDFEF5CFP5BPN5H7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toward regular black holes in sixth-derivative gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Breno L. Giacchini, Ivan Kol\\'a\\v{r}","submitted_at":"2024-06-03T05:13:35Z","abstract_excerpt":"We study spherically symmetric static solutions of the most general sixth-derivative gravity using series expansions. Specifically, we prove that the only solutions of the complete theory (i.e., with generic coupling constants) that possess a Frobenius expansion around the origin, $r=0$, are necessarily regular. When restricted to specific branches of theories (i.e., imposing particular constraints on the coupling constants), families of potentially singular solutions emerge. By expanding around $r=r_0 \\neq 0$, we identify solutions with black hole horizons. Finally, we argue that, unlike in f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00997","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/2406.00997/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":"2026-07-05T09:40:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSctK8MFtPdHihSFHOchv4MVaDm3dgJxObJ659ugnc86VU4k/LI8dildw2vZ1L9gbmCh8eL/tXcFTjFNU1nbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:38:44.185126Z"},"content_sha256":"c9e8fd0f73ca09c2b4d53353d5ecc18097aae15702689000263cbcce3e2d00aa","schema_version":"1.0","event_id":"sha256:c9e8fd0f73ca09c2b4d53353d5ecc18097aae15702689000263cbcce3e2d00aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/bundle.json","state_url":"https://pith.science/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/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":"2026-08-03T16:38:44Z","links":{"resolver":"https://pith.science/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7","bundle":"https://pith.science/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/bundle.json","state":"https://pith.science/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6THKFWQ5JBDFEF5CFP5BPN5H7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:X6THKFWQ5JBDFEF5CFP5BPN5H7","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":"3beaaba88b5caff44e163892cda3443e28dd49da65c42df502ffdbfaa2718736","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T05:13:35Z","title_canon_sha256":"8ea589743ed4469870824120b9724cbc0173f3959d32b26b1bc8ca3cd7858faa"},"schema_version":"1.0","source":{"id":"2406.00997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.00997","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"arxiv_version","alias_value":"2406.00997v2","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.00997","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_12","alias_value":"X6THKFWQ5JBD","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_16","alias_value":"X6THKFWQ5JBDFEF5","created_at":"2026-07-05T09:40:58Z"},{"alias_kind":"pith_short_8","alias_value":"X6THKFWQ","created_at":"2026-07-05T09:40:58Z"}],"graph_snapshots":[{"event_id":"sha256:c9e8fd0f73ca09c2b4d53353d5ecc18097aae15702689000263cbcce3e2d00aa","target":"graph","created_at":"2026-07-05T09:40:58Z","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/2406.00997/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study spherically symmetric static solutions of the most general sixth-derivative gravity using series expansions. Specifically, we prove that the only solutions of the complete theory (i.e., with generic coupling constants) that possess a Frobenius expansion around the origin, $r=0$, are necessarily regular. When restricted to specific branches of theories (i.e., imposing particular constraints on the coupling constants), families of potentially singular solutions emerge. By expanding around $r=r_0 \\neq 0$, we identify solutions with black hole horizons. Finally, we argue that, unlike in f","authors_text":"Breno L. Giacchini, Ivan Kol\\'a\\v{r}","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T05:13:35Z","title":"Toward regular black holes in sixth-derivative gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.00997","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":"sha256:4635c6250149de90726ddb4d3949febb545ab3cf37841e4d9922ebfd819647f5","target":"record","created_at":"2026-07-05T09:40:58Z","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":"3beaaba88b5caff44e163892cda3443e28dd49da65c42df502ffdbfaa2718736","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-06-03T05:13:35Z","title_canon_sha256":"8ea589743ed4469870824120b9724cbc0173f3959d32b26b1bc8ca3cd7858faa"},"schema_version":"1.0","source":{"id":"2406.00997","kind":"arxiv","version":2}},"canonical_sha256":"bfa67516d0ea423290bd115fd0bdbd3ff6c246e2456bef0d9ed3a7c429958e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfa67516d0ea423290bd115fd0bdbd3ff6c246e2456bef0d9ed3a7c429958e55","first_computed_at":"2026-07-05T09:40:58.196348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:58.196348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nTlX02uXvU9pthegeMPCBX/qGRRpOGrFGGFa8g0hfK/A8NlgxgYOkB3XG8iKh0ByPRyOgBjzwKfeL09fr+AsDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:58.196845Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.00997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4635c6250149de90726ddb4d3949febb545ab3cf37841e4d9922ebfd819647f5","sha256:c9e8fd0f73ca09c2b4d53353d5ecc18097aae15702689000263cbcce3e2d00aa"],"state_sha256":"4a400fdae67ff32f5c375e09e2504d31cc02abde70a2fabbd11e4a670ec39f36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p1Mq0oqkbXuosMeVZq3wn5oBXXVB/VHVmGvwKUMv7K70fkSo6BCuLvTNUp/2yRGJldA1HGBn3sbUNoFAD0ftBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:38:44.190720Z","bundle_sha256":"0d78f99f613e3db4e29dbfc08792a68a8ec0e56db2eb965461e16872a4cc65e7"}}