{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:UWKPXNI34WYILINFQWFTOBSVPN","short_pith_number":"pith:UWKPXNI3","schema_version":"1.0","canonical_sha256":"a594fbb51be5b085a1a5858b3706557b6827b7ee1bdf909d250a4fb8fc26b91b","source":{"kind":"arxiv","id":"0904.3771","version":3},"attestation_state":"computed","paper":{"title":"Compactifications and algebraic completions of Limit groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Jonathan Barlev, Tsachik Gelander","submitted_at":"2009-04-24T13:36:24Z","abstract_excerpt":"In this paper we consider the existence of dense embeddings of Limit groups in locally compact groups generalizing earlier work of Breuillard, Gelander, Souto and Storm [GBSS] where surface groups were considered. Our main results are proved in the context of compact groups and algebraic groups over local fields. In addition we prove a generalization of the classical Baumslag lemma which is a useful tool for generating eventually faithful sequences of homomorphisms. The last section is dedicated to correct a mistake from [BGSS] and to get rid of the even genus assumption."},"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":"0904.3771","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2009-04-24T13:36:24Z","cross_cats_sorted":[],"title_canon_sha256":"87c335722e6a5bbc76a67bc65dc3949b29d6b6036e023e89667e4a58ddec6159","abstract_canon_sha256":"c2bd20beccdad60d5c17c4f31fa935067462c4339b7d4e2bad2dc2b17e7e0371"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:53.823990Z","signature_b64":"bBQ10Xu8LYme0wzPZndrbKrNa2p5LmelZsEAF5ZZZbGgW55TYo3g49TfkRwJYg+MIyRTPJIXx5TIEgw5hxPEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a594fbb51be5b085a1a5858b3706557b6827b7ee1bdf909d250a4fb8fc26b91b","last_reissued_at":"2026-05-18T03:57:53.823367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:53.823367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compactifications and algebraic completions of Limit groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Jonathan Barlev, Tsachik Gelander","submitted_at":"2009-04-24T13:36:24Z","abstract_excerpt":"In this paper we consider the existence of dense embeddings of Limit groups in locally compact groups generalizing earlier work of Breuillard, Gelander, Souto and Storm [GBSS] where surface groups were considered. Our main results are proved in the context of compact groups and algebraic groups over local fields. In addition we prove a generalization of the classical Baumslag lemma which is a useful tool for generating eventually faithful sequences of homomorphisms. The last section is dedicated to correct a mistake from [BGSS] and to get rid of the even genus assumption."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3771","kind":"arxiv","version":3},"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":"0904.3771","created_at":"2026-05-18T03:57:53.823461+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.3771v3","created_at":"2026-05-18T03:57:53.823461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3771","created_at":"2026-05-18T03:57:53.823461+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWKPXNI34WYI","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWKPXNI34WYILINF","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWKPXNI3","created_at":"2026-05-18T12:26:02.257875+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/UWKPXNI34WYILINFQWFTOBSVPN","json":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN.json","graph_json":"https://pith.science/api/pith-number/UWKPXNI34WYILINFQWFTOBSVPN/graph.json","events_json":"https://pith.science/api/pith-number/UWKPXNI34WYILINFQWFTOBSVPN/events.json","paper":"https://pith.science/paper/UWKPXNI3"},"agent_actions":{"view_html":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN","download_json":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN.json","view_paper":"https://pith.science/paper/UWKPXNI3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.3771&json=true","fetch_graph":"https://pith.science/api/pith-number/UWKPXNI34WYILINFQWFTOBSVPN/graph.json","fetch_events":"https://pith.science/api/pith-number/UWKPXNI34WYILINFQWFTOBSVPN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN/action/storage_attestation","attest_author":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN/action/author_attestation","sign_citation":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN/action/citation_signature","submit_replication":"https://pith.science/pith/UWKPXNI34WYILINFQWFTOBSVPN/action/replication_record"}},"created_at":"2026-05-18T03:57:53.823461+00:00","updated_at":"2026-05-18T03:57:53.823461+00:00"}