{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Q2GYE74JD6EGGBHDOZ6L3QYRME","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":"0c5aa13f263807e56b53228af5bea9677f55058b5409ea87ed1d42670eab8740","cross_cats_sorted":["math.GR","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2026-08-12T17:32:59Z","title_canon_sha256":"ff1595e802a0606c4871594256f8b50233b35efd71112161f3c6ca3d5f14a5b7"},"schema_version":"1.0","source":{"id":"2608.12287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12287","created_at":"2026-08-13T01:30:43Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12287v1","created_at":"2026-08-13T01:30:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12287","created_at":"2026-08-13T01:30:43Z"},{"alias_kind":"pith_short_12","alias_value":"Q2GYE74JD6EG","created_at":"2026-08-13T01:30:43Z"},{"alias_kind":"pith_short_16","alias_value":"Q2GYE74JD6EGGBHD","created_at":"2026-08-13T01:30:43Z"},{"alias_kind":"pith_short_8","alias_value":"Q2GYE74J","created_at":"2026-08-13T01:30:43Z"}],"graph_snapshots":[{"event_id":"sha256:5978386b7ecb8d9f4ea01ad3567a73a7f90e02f1124f61b4c7d921906b100519","target":"graph","created_at":"2026-08-13T01:30:43Z","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/2608.12287/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the quasisymmetric classification of limit sets of Kleinian groups and obtain a characterization of those geometrically finite limit sets that are quasisymmetrically universal. This allows us to obtain a quasi-isometric classification of finitely generated Kleinian groups. We also obtain a classification of virtually topologically rigid geometrically finite Kleinian groups.","authors_text":"Peter Ha\\\"issinsky, Yusheng Luo","cross_cats":["math.GR","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2026-08-12T17:32:59Z","title":"Quasisymmetric universality, quasi-isometric classification and topological rigidity of Kleinian groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12287","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:a724b88638319b1d24ccf51f3ac382bfa308b97788358541343e42650a481e31","target":"record","created_at":"2026-08-13T01:30:43Z","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":"0c5aa13f263807e56b53228af5bea9677f55058b5409ea87ed1d42670eab8740","cross_cats_sorted":["math.GR","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2026-08-12T17:32:59Z","title_canon_sha256":"ff1595e802a0606c4871594256f8b50233b35efd71112161f3c6ca3d5f14a5b7"},"schema_version":"1.0","source":{"id":"2608.12287","kind":"arxiv","version":1}},"canonical_sha256":"868d827f891f886304e3767cbdc3116134076b7250add807b705a11b10d3ca96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"868d827f891f886304e3767cbdc3116134076b7250add807b705a11b10d3ca96","first_computed_at":"2026-08-13T01:30:43.374403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-13T01:30:43.374403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UVpfg+MAIeqk4m/waKgC0d9GMTqPkAilYFI9PfNbneknMSrvCXkSTfBFC71Le2030Ezm7V8xQTvxbAJ6oJMoCA==","signature_status":"signed_v1","signed_at":"2026-08-13T01:30:43.376737Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a724b88638319b1d24ccf51f3ac382bfa308b97788358541343e42650a481e31","sha256:5978386b7ecb8d9f4ea01ad3567a73a7f90e02f1124f61b4c7d921906b100519"],"state_sha256":"27339f49d8f32635a1fab731db0b051d9df10316be400bc6c67f54a1f3d3c324"}