{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GNO4OCB4O7JNCVYFNRY3D5AEIU","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":"892553b625ebcd9ea873cf7f5a4c3c1a4a22e5287cde9a0235cf8f8e89828ea2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-03-25T15:40:58Z","title_canon_sha256":"63a0c2daf2692e7a6ee900cea45e499e1d9bee651e69a4e177f1fa1ed70c9d43"},"schema_version":"1.0","source":{"id":"2403.16876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16876","created_at":"2026-07-05T08:00:21Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16876v1","created_at":"2026-07-05T08:00:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16876","created_at":"2026-07-05T08:00:21Z"},{"alias_kind":"pith_short_12","alias_value":"GNO4OCB4O7JN","created_at":"2026-07-05T08:00:21Z"},{"alias_kind":"pith_short_16","alias_value":"GNO4OCB4O7JNCVYF","created_at":"2026-07-05T08:00:21Z"},{"alias_kind":"pith_short_8","alias_value":"GNO4OCB4","created_at":"2026-07-05T08:00:21Z"}],"graph_snapshots":[{"event_id":"sha256:7aa7a7de4532451b2d24c73829cac635949dcad431c38ee99197559a55448e41","target":"graph","created_at":"2026-07-05T08:00:21Z","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/2403.16876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the Hausdorff dimension of the closure of the generalized Brunner-Sidki-Vieira group acting on the $m$-adic tree for $m\\ge 2$, providing the first examples of self-similar topologically finitely generated closed subgroups of transcendental Hausdorff dimension in the group of $m$-adic automorphisms.","authors_text":"Jorge Fari\\~na-Asategui, Mikel E. Garciarena","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-03-25T15:40:58Z","title":"The Hausdorff dimension of the generalized Brunner-Sidki-Vieira Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16876","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:e4150488c113b6be99a0394fed14204a7210cb460c4143eecbc958489243d1f2","target":"record","created_at":"2026-07-05T08:00:21Z","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":"892553b625ebcd9ea873cf7f5a4c3c1a4a22e5287cde9a0235cf8f8e89828ea2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-03-25T15:40:58Z","title_canon_sha256":"63a0c2daf2692e7a6ee900cea45e499e1d9bee651e69a4e177f1fa1ed70c9d43"},"schema_version":"1.0","source":{"id":"2403.16876","kind":"arxiv","version":1}},"canonical_sha256":"335dc7083c77d2d157056c71b1f4044521eb87470c876e1b2fa23c3f5a340d36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"335dc7083c77d2d157056c71b1f4044521eb87470c876e1b2fa23c3f5a340d36","first_computed_at":"2026-07-05T08:00:21.992183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:21.992183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J269hSfKqzCTRsQIFb6NPaeAA78DFdErNbSiXojy+5DmKgRmOOC62gsj5Zu65Afdj5Uh4sMhhaYtOm/fdUt7AA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:21.992829Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4150488c113b6be99a0394fed14204a7210cb460c4143eecbc958489243d1f2","sha256:7aa7a7de4532451b2d24c73829cac635949dcad431c38ee99197559a55448e41"],"state_sha256":"50142a4dd092ccc400c7be6880a2bc5fd2aabde4c8dd762a4314180c1127a2ba"}