{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:A5YZJWZDSWENR23KHWY3FGKTUI","short_pith_number":"pith:A5YZJWZD","schema_version":"1.0","canonical_sha256":"077194db239588d8eb6a3db1b29953a203cba9f070cab1c7d00679f17c30d1f7","source":{"kind":"arxiv","id":"1603.05330","version":1},"attestation_state":"computed","paper":{"title":"Groups not acting on compact metric spaces by homeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GN"],"primary_cat":"math.GR","authors_text":"Azer Akhmedov","submitted_at":"2016-03-17T01:34:58Z","abstract_excerpt":"We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space."},"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":"1603.05330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-03-17T01:34:58Z","cross_cats_sorted":["math.DS","math.GN"],"title_canon_sha256":"a8db3b90f0119a2b8690a87a02ed8ab0f385b52617a289f120ad2863d262cd62","abstract_canon_sha256":"94a6ac3dc200990d0a7887860d8136fa1f41700f08865bb54489dbe7ac90315d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:56.631585Z","signature_b64":"O2sTMtBOosR4oB+C3np8AXTUUXgFv9fGK536fgeuYPxcGf2Vi9/3gidx6IFZ4Mq7SdNAT3zRWMAaSmzb68wbAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"077194db239588d8eb6a3db1b29953a203cba9f070cab1c7d00679f17c30d1f7","last_reissued_at":"2026-05-18T01:18:56.631111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:56.631111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Groups not acting on compact metric spaces by homeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GN"],"primary_cat":"math.GR","authors_text":"Azer Akhmedov","submitted_at":"2016-03-17T01:34:58Z","abstract_excerpt":"We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05330","kind":"arxiv","version":1},"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":"1603.05330","created_at":"2026-05-18T01:18:56.631182+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05330v1","created_at":"2026-05-18T01:18:56.631182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05330","created_at":"2026-05-18T01:18:56.631182+00:00"},{"alias_kind":"pith_short_12","alias_value":"A5YZJWZDSWEN","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"A5YZJWZDSWENR23K","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"A5YZJWZD","created_at":"2026-05-18T12:30:04.600751+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/A5YZJWZDSWENR23KHWY3FGKTUI","json":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI.json","graph_json":"https://pith.science/api/pith-number/A5YZJWZDSWENR23KHWY3FGKTUI/graph.json","events_json":"https://pith.science/api/pith-number/A5YZJWZDSWENR23KHWY3FGKTUI/events.json","paper":"https://pith.science/paper/A5YZJWZD"},"agent_actions":{"view_html":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI","download_json":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI.json","view_paper":"https://pith.science/paper/A5YZJWZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05330&json=true","fetch_graph":"https://pith.science/api/pith-number/A5YZJWZDSWENR23KHWY3FGKTUI/graph.json","fetch_events":"https://pith.science/api/pith-number/A5YZJWZDSWENR23KHWY3FGKTUI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI/action/storage_attestation","attest_author":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI/action/author_attestation","sign_citation":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI/action/citation_signature","submit_replication":"https://pith.science/pith/A5YZJWZDSWENR23KHWY3FGKTUI/action/replication_record"}},"created_at":"2026-05-18T01:18:56.631182+00:00","updated_at":"2026-05-18T01:18:56.631182+00:00"}