{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KPVL5JGCUDVFM3FRWXDBCTQFPT","short_pith_number":"pith:KPVL5JGC","schema_version":"1.0","canonical_sha256":"53eabea4c2a0ea566cb1b5c6114e057cd1b449b0b7e38ba0553a42ecfc0794dd","source":{"kind":"arxiv","id":"1712.02172","version":2},"attestation_state":"computed","paper":{"title":"Fundamental group of log terminal T-varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alvaro Liendo, Antonio Laface, Joaqu\\'in Moraga","submitted_at":"2017-12-06T13:07:23Z","abstract_excerpt":"In this article, we introduce an approach to study the fundamental group of a log terminal T-variety. As applications, we prove the simply connectedness of the spectrum of the Cox ring of a complex Fano variety, we compute the fundamental group of a rational log terminal T-varieties of complexity one, and we study the local fundamental group of log terminal T-singularities with a good torus action and trivial GIT decomposition."},"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":"1712.02172","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-06T13:07:23Z","cross_cats_sorted":[],"title_canon_sha256":"8675862e54273d04303149cb17eee04d561097923d0a3384e1f7b4095f352d45","abstract_canon_sha256":"8120600a400501b076c3a84584f951fc370aa7e18874942490b2bcddde1f43aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:34.275800Z","signature_b64":"y9qXfd+tFjw1QYvTcKeL4gpJShHKR7sqOuwiqyuPOIr8Ims/AnBnvhhnQzGmrkKUhPEyyVi4S+1MFxPzfO0cAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53eabea4c2a0ea566cb1b5c6114e057cd1b449b0b7e38ba0553a42ecfc0794dd","last_reissued_at":"2026-05-18T00:14:34.275324Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:34.275324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fundamental group of log terminal T-varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alvaro Liendo, Antonio Laface, Joaqu\\'in Moraga","submitted_at":"2017-12-06T13:07:23Z","abstract_excerpt":"In this article, we introduce an approach to study the fundamental group of a log terminal T-variety. As applications, we prove the simply connectedness of the spectrum of the Cox ring of a complex Fano variety, we compute the fundamental group of a rational log terminal T-varieties of complexity one, and we study the local fundamental group of log terminal T-singularities with a good torus action and trivial GIT decomposition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02172","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":"1712.02172","created_at":"2026-05-18T00:14:34.275397+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.02172v2","created_at":"2026-05-18T00:14:34.275397+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02172","created_at":"2026-05-18T00:14:34.275397+00:00"},{"alias_kind":"pith_short_12","alias_value":"KPVL5JGCUDVF","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KPVL5JGCUDVFM3FR","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KPVL5JGC","created_at":"2026-05-18T12:31:24.725408+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/KPVL5JGCUDVFM3FRWXDBCTQFPT","json":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT.json","graph_json":"https://pith.science/api/pith-number/KPVL5JGCUDVFM3FRWXDBCTQFPT/graph.json","events_json":"https://pith.science/api/pith-number/KPVL5JGCUDVFM3FRWXDBCTQFPT/events.json","paper":"https://pith.science/paper/KPVL5JGC"},"agent_actions":{"view_html":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT","download_json":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT.json","view_paper":"https://pith.science/paper/KPVL5JGC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.02172&json=true","fetch_graph":"https://pith.science/api/pith-number/KPVL5JGCUDVFM3FRWXDBCTQFPT/graph.json","fetch_events":"https://pith.science/api/pith-number/KPVL5JGCUDVFM3FRWXDBCTQFPT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT/action/storage_attestation","attest_author":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT/action/author_attestation","sign_citation":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT/action/citation_signature","submit_replication":"https://pith.science/pith/KPVL5JGCUDVFM3FRWXDBCTQFPT/action/replication_record"}},"created_at":"2026-05-18T00:14:34.275397+00:00","updated_at":"2026-05-18T00:14:34.275397+00:00"}