{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TZKCFDILZDN3HX373UFM6DJA63","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":"27ed45ab06656046f050d2c7c5f53240f15227296d9025daad856fdf743614a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-11T00:44:17Z","title_canon_sha256":"20c50d23fadf13863152153964cef3c635b656552ea368a0e84ff28384d033f3"},"schema_version":"1.0","source":{"id":"1505.02460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02460","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02460v1","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02460","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"TZKCFDILZDN3","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"TZKCFDILZDN3HX37","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"TZKCFDIL","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:309ab6d5103a9cecd58068a5cdd92b1bad497067eef848df28f3fbf841712b80","target":"graph","created_at":"2026-05-18T00:44:28Z","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"},"paper":{"abstract_excerpt":"In this paper we determine which blow-ups $X$ of $\\mathbb{P}^n$ at general points are log Fano, that is, when there exists an effective $\\mathbb{Q}$-divisor $\\Delta$ such that $-(K_X+\\Delta)$ is ample and the pair $(X,\\Delta)$ is klt. For these blow-ups, we produce explicit boundary divisors $\\Delta$ making $X$ log Fano.","authors_text":"Alex Massarenti, Carolina Araujo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-11T00:44:17Z","title":"Explicit log Fano structures on blow-ups of projective spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02460","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:a6238741f12451a9e842be1900cbbfae17b167600efd2f21151bd4a4a818c278","target":"record","created_at":"2026-05-18T00:44:28Z","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":"27ed45ab06656046f050d2c7c5f53240f15227296d9025daad856fdf743614a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-11T00:44:17Z","title_canon_sha256":"20c50d23fadf13863152153964cef3c635b656552ea368a0e84ff28384d033f3"},"schema_version":"1.0","source":{"id":"1505.02460","kind":"arxiv","version":1}},"canonical_sha256":"9e54228d0bc8dbb3df7fdd0acf0d20f6f47521330f86975730ae61ce6ff2c153","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e54228d0bc8dbb3df7fdd0acf0d20f6f47521330f86975730ae61ce6ff2c153","first_computed_at":"2026-05-18T00:44:28.388059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:28.388059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcJFsxjco4Z5QAeup28Nf37OqFBBjPkN3AVm93pOnHx3auRZZdXUdHOOnvy5X2gG6vwh4bGw2RqMPuhOs2woCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:28.388529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6238741f12451a9e842be1900cbbfae17b167600efd2f21151bd4a4a818c278","sha256:309ab6d5103a9cecd58068a5cdd92b1bad497067eef848df28f3fbf841712b80"],"state_sha256":"4f2028c70cec8b50ef0b74a17d842c2f91c9c297dba9a5387de8c5aab6ffc439"}