{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4EXB32URQ5PUNMTZDDBFZBRPDF","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":"375d0d234aeea1819b2ab16e44394636109640782b3c2bc47fb55abf39dd46d8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-26T16:39:00Z","title_canon_sha256":"7345d0c68d621c07c51a9156086b4447e7f1375e513204fd31501b764c0fa015"},"schema_version":"1.0","source":{"id":"2606.28253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28253","created_at":"2026-06-29T01:15:10Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28253v1","created_at":"2026-06-29T01:15:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28253","created_at":"2026-06-29T01:15:10Z"},{"alias_kind":"pith_short_12","alias_value":"4EXB32URQ5PU","created_at":"2026-06-29T01:15:10Z"},{"alias_kind":"pith_short_16","alias_value":"4EXB32URQ5PUNMTZ","created_at":"2026-06-29T01:15:10Z"},{"alias_kind":"pith_short_8","alias_value":"4EXB32UR","created_at":"2026-06-29T01:15:10Z"}],"graph_snapshots":[{"event_id":"sha256:4219f052d3838e9a1fa91dc3a7f294b7d5c15bb449a91c3340435ae978c4478b","target":"graph","created_at":"2026-06-29T01:15:10Z","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/2606.28253/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We settle the global nonlinear stability problem for the family of Kerr black holes in the full subextremal range: spacetimes evolving from initial data close to those of a subextremal Kerr black hole as solutions of the Einstein vacuum equation ${\\rm Ric}(g)=0$ settle down to a nearby member of the Kerr family at the rate $\\mathcal{O}(t_*^{-2-\\epsilon_{\\mathcal K}})$ in spatially compact regions.\n  For the initial data, we require $\\mathcal{O}(r^{-1-\\epsilon_0})$-decay for $\\epsilon_0>0$ -- more precisely, an arbitrary but finite expansion into terms $r^{-z}(\\log r)^k$ where $z>1$, $k\\in\\math","authors_text":"Peter Hintz","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-26T16:39:00Z","title":"Nonlinear stability of subextremal Kerr black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28253","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:d22fe8bae8487be3373d55018e77b1e115f48d035f17da8b76b1dfba5b68a19d","target":"record","created_at":"2026-06-29T01:15:10Z","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":"375d0d234aeea1819b2ab16e44394636109640782b3c2bc47fb55abf39dd46d8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-06-26T16:39:00Z","title_canon_sha256":"7345d0c68d621c07c51a9156086b4447e7f1375e513204fd31501b764c0fa015"},"schema_version":"1.0","source":{"id":"2606.28253","kind":"arxiv","version":1}},"canonical_sha256":"e12e1dea91875f46b27918c25c862f196abe6d62c4108853e4c3fdb983769bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e12e1dea91875f46b27918c25c862f196abe6d62c4108853e4c3fdb983769bdb","first_computed_at":"2026-06-29T01:15:10.454895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:15:10.454895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TJCsqnP1DDeoavXLMH/aVErGjCqOWw4ctykr2ZIFvVW1jWQWzBXltoCqXMuG1r1eie/Extnr3DbJxxvFVZviAQ==","signature_status":"signed_v1","signed_at":"2026-06-29T01:15:10.455290Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d22fe8bae8487be3373d55018e77b1e115f48d035f17da8b76b1dfba5b68a19d","sha256:4219f052d3838e9a1fa91dc3a7f294b7d5c15bb449a91c3340435ae978c4478b"],"state_sha256":"28d33d14cca647d7dbecb92f1a14cf32691ae70f6ce6e61e9cb1279e0d208213"}