{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NOZPV72D73UYU5Y5VDWJQ2INYG","short_pith_number":"pith:NOZPV72D","schema_version":"1.0","canonical_sha256":"6bb2faff43fee98a771da8ec98690dc198aef4fb0cbc24b7fcd39948da6950a5","source":{"kind":"arxiv","id":"2208.12688","version":2},"attestation_state":"computed","paper":{"title":"Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"J.O.Button","submitted_at":"2022-08-26T14:35:07Z","abstract_excerpt":"We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a quasi-isometric invariant. We show that virtually being a hierarchically hyperbolic group is not invariant under quasi-isometry either, and nor is property (QT)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2208.12688","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2022-08-26T14:35:07Z","cross_cats_sorted":[],"title_canon_sha256":"93a1e3faa183cb1d6eb8cd73df42dfcfcb55202adbf4645a7d6c45a419e84f18","abstract_canon_sha256":"c5646fc424c0ec14ea53424c96c511e44ff2e31847e742c13c9ce1a2693d4919"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:58:15.552666Z","signature_b64":"v3lSMpCPAIH6ikAz9Nmy+XdbBCkRBOEIOfIzG6DB0gGSaHHZSeLLLHBGqCg23IlxGCxLejM8iGslrZRlcmaWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bb2faff43fee98a771da8ec98690dc198aef4fb0cbc24b7fcd39948da6950a5","last_reissued_at":"2026-07-05T11:58:15.552132Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:58:15.552132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"J.O.Button","submitted_at":"2022-08-26T14:35:07Z","abstract_excerpt":"We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a quasi-isometric invariant. We show that virtually being a hierarchically hyperbolic group is not invariant under quasi-isometry either, and nor is property (QT)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.12688","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.12688/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2208.12688","created_at":"2026-07-05T11:58:15.552194+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.12688v2","created_at":"2026-07-05T11:58:15.552194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.12688","created_at":"2026-07-05T11:58:15.552194+00:00"},{"alias_kind":"pith_short_12","alias_value":"NOZPV72D73UY","created_at":"2026-07-05T11:58:15.552194+00:00"},{"alias_kind":"pith_short_16","alias_value":"NOZPV72D73UYU5Y5","created_at":"2026-07-05T11:58:15.552194+00:00"},{"alias_kind":"pith_short_8","alias_value":"NOZPV72D","created_at":"2026-07-05T11:58:15.552194+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2502.02039","citing_title":"Boundary actions of Bass-Serre Trees and the applications to $C^*$-algebras","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG","json":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG.json","graph_json":"https://pith.science/api/pith-number/NOZPV72D73UYU5Y5VDWJQ2INYG/graph.json","events_json":"https://pith.science/api/pith-number/NOZPV72D73UYU5Y5VDWJQ2INYG/events.json","paper":"https://pith.science/paper/NOZPV72D"},"agent_actions":{"view_html":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG","download_json":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG.json","view_paper":"https://pith.science/paper/NOZPV72D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.12688&json=true","fetch_graph":"https://pith.science/api/pith-number/NOZPV72D73UYU5Y5VDWJQ2INYG/graph.json","fetch_events":"https://pith.science/api/pith-number/NOZPV72D73UYU5Y5VDWJQ2INYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG/action/storage_attestation","attest_author":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG/action/author_attestation","sign_citation":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG/action/citation_signature","submit_replication":"https://pith.science/pith/NOZPV72D73UYU5Y5VDWJQ2INYG/action/replication_record"}},"created_at":"2026-07-05T11:58:15.552194+00:00","updated_at":"2026-07-05T11:58:15.552194+00:00"}