{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Z4O7SJ76SVCHDXNLXC5ZF2MBWE","short_pith_number":"pith:Z4O7SJ76","schema_version":"1.0","canonical_sha256":"cf1df927fe954471ddabb8bb92e981b10523197659c921bab4c87d02a7be0b4e","source":{"kind":"arxiv","id":"1005.2766","version":2},"attestation_state":"computed","paper":{"title":"Topological properties of spaces admitting free group actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Craig R. Guilbault, Ross Geoghegan","submitted_at":"2010-05-16T18:38:53Z","abstract_excerpt":"In 1992, David Wright proved a remarkable theorem about which contractible open manifolds are covering spaces. He showed that if a one-ended open manifold M has pro-monomorphic fundamental group at infinity which is not pro-trivial and is not stably Z, then M does not cover any manifold (except itself). In the non-manifold case, Wright's method showed that when a one-ended, simply connected, locally compact ANR X with pro-monomorphic fundamental group at infinity admits an action of Z by covering transformations then the fundamental group at infinity of X is (up to pro-isomorphism) an inverse "},"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":"1005.2766","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-05-16T18:38:53Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"979100a0ed7d5ec1fb7156944cfe92e8cdb870f0333ee1aa248f7bf0c72dcd57","abstract_canon_sha256":"463ce7c38c9746a5a69d4b2f39fad9d516c40f23a97aa93233f5c1d51278c371"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:06.524718Z","signature_b64":"jkZU920YMPTxQZddaYoTFfqVDonocH6NY1+etN300EoAnFDW5zrjTpLMttRMfbToRuyutcH/UHMantOf70HsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf1df927fe954471ddabb8bb92e981b10523197659c921bab4c87d02a7be0b4e","last_reissued_at":"2026-05-18T02:24:06.523985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:06.523985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological properties of spaces admitting free group actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Craig R. Guilbault, Ross Geoghegan","submitted_at":"2010-05-16T18:38:53Z","abstract_excerpt":"In 1992, David Wright proved a remarkable theorem about which contractible open manifolds are covering spaces. He showed that if a one-ended open manifold M has pro-monomorphic fundamental group at infinity which is not pro-trivial and is not stably Z, then M does not cover any manifold (except itself). In the non-manifold case, Wright's method showed that when a one-ended, simply connected, locally compact ANR X with pro-monomorphic fundamental group at infinity admits an action of Z by covering transformations then the fundamental group at infinity of X is (up to pro-isomorphism) an inverse "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2766","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":"1005.2766","created_at":"2026-05-18T02:24:06.524119+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.2766v2","created_at":"2026-05-18T02:24:06.524119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2766","created_at":"2026-05-18T02:24:06.524119+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4O7SJ76SVCH","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4O7SJ76SVCHDXNL","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4O7SJ76","created_at":"2026-05-18T12:26:17.028572+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/Z4O7SJ76SVCHDXNLXC5ZF2MBWE","json":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE.json","graph_json":"https://pith.science/api/pith-number/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/graph.json","events_json":"https://pith.science/api/pith-number/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/events.json","paper":"https://pith.science/paper/Z4O7SJ76"},"agent_actions":{"view_html":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE","download_json":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE.json","view_paper":"https://pith.science/paper/Z4O7SJ76","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.2766&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/action/storage_attestation","attest_author":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/action/author_attestation","sign_citation":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/action/citation_signature","submit_replication":"https://pith.science/pith/Z4O7SJ76SVCHDXNLXC5ZF2MBWE/action/replication_record"}},"created_at":"2026-05-18T02:24:06.524119+00:00","updated_at":"2026-05-18T02:24:06.524119+00:00"}