{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3GKMXQTJ5KU43UW5YPGJ2JQXXV","short_pith_number":"pith:3GKMXQTJ","schema_version":"1.0","canonical_sha256":"d994cbc269eaa9cdd2ddc3cc9d2617bd6be31c49ac66c00ffa7cdc474a04f5dc","source":{"kind":"arxiv","id":"1304.7651","version":2},"attestation_state":"computed","paper":{"title":"On asymptotically hereditarily aspherical groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Damian Osajda, Jacek Swiatkowski","submitted_at":"2013-04-29T13:00:10Z","abstract_excerpt":"We undertake a systematic study of asymptotically hereditarily aspherical (AHA) groups - the class of groups introduced by Tadeusz Januszkiewicz and the second author as a tool for exhibiting exotic properties of systolic groups. We provide many new examples of AHA groups, also in high dimensions. We relate AHA property with the topology at infinity of a group, and deduce in this way some new properties of (weakly) systolic groups. We also exhibit an interesting property of boundary at infinity for few classes of AHA groups."},"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":"1304.7651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-29T13:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"85ed2f7bd13c52cd66e5964dcfeeb0511a15b1a172472e954279396b167a0095","abstract_canon_sha256":"ad716635654a716b27b4124fd020bf9ffeec5750a45204d47924a8f204c281b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:09.857975Z","signature_b64":"UtmR06RApmh5jIHwx/HlS4v25n5XclXYujgnEEgtoKwzmjyAqu91DmJ/Du0W8bMBe1uLmOu+dbZlCuCkMQuOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d994cbc269eaa9cdd2ddc3cc9d2617bd6be31c49ac66c00ffa7cdc474a04f5dc","last_reissued_at":"2026-05-18T01:53:09.857494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:09.857494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On asymptotically hereditarily aspherical groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Damian Osajda, Jacek Swiatkowski","submitted_at":"2013-04-29T13:00:10Z","abstract_excerpt":"We undertake a systematic study of asymptotically hereditarily aspherical (AHA) groups - the class of groups introduced by Tadeusz Januszkiewicz and the second author as a tool for exhibiting exotic properties of systolic groups. We provide many new examples of AHA groups, also in high dimensions. We relate AHA property with the topology at infinity of a group, and deduce in this way some new properties of (weakly) systolic groups. We also exhibit an interesting property of boundary at infinity for few classes of AHA groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7651","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":""},"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":"1304.7651","created_at":"2026-05-18T01:53:09.857577+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.7651v2","created_at":"2026-05-18T01:53:09.857577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7651","created_at":"2026-05-18T01:53:09.857577+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GKMXQTJ5KU4","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GKMXQTJ5KU43UW5","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GKMXQTJ","created_at":"2026-05-18T12:27:32.513160+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV","json":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV.json","graph_json":"https://pith.science/api/pith-number/3GKMXQTJ5KU43UW5YPGJ2JQXXV/graph.json","events_json":"https://pith.science/api/pith-number/3GKMXQTJ5KU43UW5YPGJ2JQXXV/events.json","paper":"https://pith.science/paper/3GKMXQTJ"},"agent_actions":{"view_html":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV","download_json":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV.json","view_paper":"https://pith.science/paper/3GKMXQTJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.7651&json=true","fetch_graph":"https://pith.science/api/pith-number/3GKMXQTJ5KU43UW5YPGJ2JQXXV/graph.json","fetch_events":"https://pith.science/api/pith-number/3GKMXQTJ5KU43UW5YPGJ2JQXXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV/action/storage_attestation","attest_author":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV/action/author_attestation","sign_citation":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV/action/citation_signature","submit_replication":"https://pith.science/pith/3GKMXQTJ5KU43UW5YPGJ2JQXXV/action/replication_record"}},"created_at":"2026-05-18T01:53:09.857577+00:00","updated_at":"2026-05-18T01:53:09.857577+00:00"}