{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BTO2Y2SKQMEMSRK3VWYUJYDVEB","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":"a726056c501a9d48c0da24dfad98351317da0ff09885c2f5d4554918c3d607fd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-31T21:40:06Z","title_canon_sha256":"5179ab73da3ca781d466954ebe71133f9ee590d98a9d8f035fe83f0df98182ca"},"schema_version":"1.0","source":{"id":"2608.00307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00307","created_at":"2026-08-04T00:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00307v1","created_at":"2026-08-04T00:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00307","created_at":"2026-08-04T00:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"BTO2Y2SKQMEM","created_at":"2026-08-04T00:35:02Z"},{"alias_kind":"pith_short_16","alias_value":"BTO2Y2SKQMEMSRK3","created_at":"2026-08-04T00:35:02Z"},{"alias_kind":"pith_short_8","alias_value":"BTO2Y2SK","created_at":"2026-08-04T00:35:02Z"}],"graph_snapshots":[{"event_id":"sha256:b929d16cff7212c15072d26821948b3fe05701626f381e6a62985052dccc950e","target":"graph","created_at":"2026-08-04T00:35:02Z","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/2608.00307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a massive vector-field perturbation on a Kerr black hole background. We fix the field's density at the edge of the black hole sphere of influence to model a bath of wave cold dark matter, from which the black hole can accrete endlessly. We employ the approach of Lunin, Frolov, Krtou\\v{s}, Kubiz\\v{n}\\'{a}k, and Santos to separate the equations, and solve them with a mix of analytical and numerical techniques. We find that the field forms a density spike around the black hole with profile $\\rho \\sim r^{-3/2}$, consistent with dark matter spikes studied in the literature, which is not","authors_text":"Fredric Hancock, Helvi Witek","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-31T21:40:06Z","title":"Kerr black holes with vector dark matter hair"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00307","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":"sha256:89f3465ccf2c5476ddfea771f922957453b2355c8e1e493f329d32b0da06bb12","target":"record","created_at":"2026-08-04T00:35:02Z","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":"a726056c501a9d48c0da24dfad98351317da0ff09885c2f5d4554918c3d607fd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-31T21:40:06Z","title_canon_sha256":"5179ab73da3ca781d466954ebe71133f9ee590d98a9d8f035fe83f0df98182ca"},"schema_version":"1.0","source":{"id":"2608.00307","kind":"arxiv","version":1}},"canonical_sha256":"0cddac6a4a8308c9455badb144e075206aef3b046729164d5e1e00bd88124e8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cddac6a4a8308c9455badb144e075206aef3b046729164d5e1e00bd88124e8f","first_computed_at":"2026-08-04T00:35:02.150743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T00:35:02.150743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m/yJNMg7Qxrl/hg6x1si9YAQjiVUPJSvMGjJ+tZXiV9T4ltkSsLkndcVea5cHpU5zX/ZDp5rtSdvp7g1KhbJDw==","signature_status":"signed_v1","signed_at":"2026-08-04T00:35:02.152216Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89f3465ccf2c5476ddfea771f922957453b2355c8e1e493f329d32b0da06bb12","sha256:b929d16cff7212c15072d26821948b3fe05701626f381e6a62985052dccc950e"],"state_sha256":"ea14de2f4389819c916ea2be4c7cbaab2c07a2184b44ac4546fc9dcf9f6c266c"}