{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OCFBJUDESRFXRSJJPPEOYTM4JV","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":"80c0d88dbb5d831cd403b29b79c589bb07d857c85f6fde86e19f6566bcfda078","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-27T06:59:56Z","title_canon_sha256":"36ba2235e873c356d44372cc275285d4dd47ac2a245e741c89cfbcbdc5c2cf7c"},"schema_version":"1.0","source":{"id":"2506.21958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.21958","created_at":"2026-07-05T11:28:19Z"},{"alias_kind":"arxiv_version","alias_value":"2506.21958v1","created_at":"2026-07-05T11:28:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21958","created_at":"2026-07-05T11:28:19Z"},{"alias_kind":"pith_short_12","alias_value":"OCFBJUDESRFX","created_at":"2026-07-05T11:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"OCFBJUDESRFXRSJJ","created_at":"2026-07-05T11:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"OCFBJUDE","created_at":"2026-07-05T11:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:f56f4fe610dc8199cb61c0ee546989d1f31cecc5161447f090bf1237741b35d3","target":"graph","created_at":"2026-07-05T11:28:19Z","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/2506.21958/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct well-formed and quasismooth terminal Fano 4-folds of index 1 in low codimension containing at worst isolated orbifold points. We provide a certain classification of these varieties where their images under the anitcanonical embedding can be described as codimension 2, 3, or 4 subvarieties of some weighted projective space. In particular, we focus on isolated terminal Fano 4-folds that either have an empty linear system or a relatively large one, but whose linear section is not an isolated canonical Calabi--Yau 3-fold. In total, we classify 95 families of terminal Fano 4-folds of t","authors_text":"Muhammad Imran Qureshi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-27T06:59:56Z","title":"Terminal Fano four folds in low codimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21958","kind":"arxiv","version":1},"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":"sha256:91eb9235535fb786170e733b5d8af24dca2985d3f2f794cd27e274596b602e3c","target":"record","created_at":"2026-07-05T11:28:19Z","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":"80c0d88dbb5d831cd403b29b79c589bb07d857c85f6fde86e19f6566bcfda078","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-06-27T06:59:56Z","title_canon_sha256":"36ba2235e873c356d44372cc275285d4dd47ac2a245e741c89cfbcbdc5c2cf7c"},"schema_version":"1.0","source":{"id":"2506.21958","kind":"arxiv","version":1}},"canonical_sha256":"708a14d064944b78c9297bc8ec4d9c4d5625f86fceb46f8aefb7729d5728dbea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"708a14d064944b78c9297bc8ec4d9c4d5625f86fceb46f8aefb7729d5728dbea","first_computed_at":"2026-07-05T11:28:19.200726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:19.200726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iWfvpqkTIN+KnEqCrKweC2oYQSwKeKha2Tin4RYk9T3lSlDZ99wsfjM/I5jW9Ryk7FNTaNCj+jw0JySpfmKcBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:19.201126Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.21958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91eb9235535fb786170e733b5d8af24dca2985d3f2f794cd27e274596b602e3c","sha256:f56f4fe610dc8199cb61c0ee546989d1f31cecc5161447f090bf1237741b35d3"],"state_sha256":"af98271f52b630e64f569d6293fc5d6c7bd3e75f1d36ab1b2d5d72432ba91590"}