{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:N563QM4VS5B4KER4TP2QLTFRQ3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b1c5447b463897486736a3770130a8521c817ba6f5b7b65b4df356966dacd6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T01:39:19Z","title_canon_sha256":"8ee714e0bc6529aa2f7995fb05a6a93da7d87589568a39d5100f1e339a90c7ed"},"schema_version":"1.0","source":{"id":"2312.03981","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.03981","created_at":"2026-07-05T10:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"2312.03981v2","created_at":"2026-07-05T10:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.03981","created_at":"2026-07-05T10:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"N563QM4VS5B4","created_at":"2026-07-05T10:12:13Z"},{"alias_kind":"pith_short_16","alias_value":"N563QM4VS5B4KER4","created_at":"2026-07-05T10:12:13Z"},{"alias_kind":"pith_short_8","alias_value":"N563QM4V","created_at":"2026-07-05T10:12:13Z"}],"graph_snapshots":[{"event_id":"sha256:6db589328dc508a0adb2b2a5c78bcebfae5f5ae704236d13b19dcb1fa35dff6c","target":"graph","created_at":"2026-07-05T10:12:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.03981/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we study the orbifold fundamental group $\\pi_1^{\\rm orb}(X,\\Delta)$ of a Calabi--Yau pair $(X,\\Delta)$ with log canonical singularities. We conjecture that the orbifold fundamental group $\\pi_1^{\\rm orb}(X,\\Delta)$ of a $n$-dimensional log Calabi--Yau pair admits a normal solvable subgroup of rank at most $2n$ and index at most $c(n)$. We prove this conjecture in the case that $n=2$. More precisely, for a log Calabi--Yau surface pair $(X,\\Delta)$ we show that $\\pi_1^{\\rm orb}(X,\\Delta)$ is the extension of a nilpotent group of length at most $2$ and rank at most $4$ by a finit","authors_text":"C\\'ecile Gachet, Joaqu\\'in Moraga, Zhining Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T01:39:19Z","title":"Fundamental groups of log Calabi-Yau surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.03981","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:33ceb425b7cac47dd9e20a97263bb7f925cf6ce8ec1b00958084fb4741c89d44","target":"record","created_at":"2026-07-05T10:12:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b1c5447b463897486736a3770130a8521c817ba6f5b7b65b4df356966dacd6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-12-07T01:39:19Z","title_canon_sha256":"8ee714e0bc6529aa2f7995fb05a6a93da7d87589568a39d5100f1e339a90c7ed"},"schema_version":"1.0","source":{"id":"2312.03981","kind":"arxiv","version":2}},"canonical_sha256":"6f7db833959743c5123c9bf505ccb186c8565f4feffab67e6870fe5bb6745427","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f7db833959743c5123c9bf505ccb186c8565f4feffab67e6870fe5bb6745427","first_computed_at":"2026-07-05T10:12:13.805788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:12:13.805788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"khALJ2xeDPjhrn0B6NB6V4im7RX3dADBZY8muI9rS7BNKXYUF0H9+ANEq+sjmUQyNRdoRyw8g1ToLxX3H+5GAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:12:13.806273Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.03981","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33ceb425b7cac47dd9e20a97263bb7f925cf6ce8ec1b00958084fb4741c89d44","sha256:6db589328dc508a0adb2b2a5c78bcebfae5f5ae704236d13b19dcb1fa35dff6c"],"state_sha256":"5233affdca8c7ebd2c90b2f670b18f55af8da40ccc0466b0ee56cd3346022436"}