{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:A42PR2SEMZTDXUVDE5KEIIOHOM","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":"fb031c69bb696027a7e0d80a71f84c9759449e31c88c01f61cd2c89fed15da1b","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-15T18:58:32Z","title_canon_sha256":"5c738bc9e1a1161c25570d492465127a1c2d630659a35ffd9de9a8255002d37a"},"schema_version":"1.0","source":{"id":"2112.08354","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.08354","created_at":"2026-07-05T06:06:38Z"},{"alias_kind":"arxiv_version","alias_value":"2112.08354v2","created_at":"2026-07-05T06:06:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.08354","created_at":"2026-07-05T06:06:38Z"},{"alias_kind":"pith_short_12","alias_value":"A42PR2SEMZTD","created_at":"2026-07-05T06:06:38Z"},{"alias_kind":"pith_short_16","alias_value":"A42PR2SEMZTDXUVD","created_at":"2026-07-05T06:06:38Z"},{"alias_kind":"pith_short_8","alias_value":"A42PR2SE","created_at":"2026-07-05T06:06:38Z"}],"graph_snapshots":[{"event_id":"sha256:70f30a7c4ba3f2d10958f70881a3bb9f3b3f2d851c38d48ae6de706ac009dc95","target":"graph","created_at":"2026-07-05T06:06:38Z","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/2112.08354/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We argue that black holes admit vortex structure. This is based both on a graviton-condensate description of a black hole as well as on a correspondence between black holes and generic objects with maximal entropy compatible with unitarity, so-called saturons. We show that due to vorticity, a $Q$-ball-type saturon of a calculable renormalizable theory obeys the same extremality bound on the spin as the black hole. Correspondingly, a black hole with extremal spin emerges as a graviton condensate with vorticity. This offers a topological explanation for the stability of extremal black holes agai","authors_text":"Florian Kuhnel, Gia Dvali, Michael Zantedeschi","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-15T18:58:32Z","title":"Vortices in Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.08354","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":"sha256:53d6030323bb0ede49bcc072a11756ea7c1b686db6612e81c5e28572b5c91dc0","target":"record","created_at":"2026-07-05T06:06:38Z","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":"fb031c69bb696027a7e0d80a71f84c9759449e31c88c01f61cd2c89fed15da1b","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-15T18:58:32Z","title_canon_sha256":"5c738bc9e1a1161c25570d492465127a1c2d630659a35ffd9de9a8255002d37a"},"schema_version":"1.0","source":{"id":"2112.08354","kind":"arxiv","version":2}},"canonical_sha256":"0734f8ea4466663bd2a327544421c7730255bd3a331e8ff9cd2279523b148269","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0734f8ea4466663bd2a327544421c7730255bd3a331e8ff9cd2279523b148269","first_computed_at":"2026-07-05T06:06:38.786619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:06:38.786619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gDMrEwzK10Wo/tGJR9gHMF4TrTYu3KUL4y0kQgS9RD5Z4up3+R7LjXi+zRDgoInXymRxgXHh5vNp4b3D2qapDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:06:38.786947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.08354","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53d6030323bb0ede49bcc072a11756ea7c1b686db6612e81c5e28572b5c91dc0","sha256:70f30a7c4ba3f2d10958f70881a3bb9f3b3f2d851c38d48ae6de706ac009dc95"],"state_sha256":"2e9a33a24770f97d06b2219ea92f6e0f7d9d7d3216e6d6fe6df424dc6cfe0bf7"}