{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q64XL6L2RMBPM3VCCIUVOOFS54","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":"d43ae5dc1bbfb51087ad8224ffe699bc4968e29605a00bd6ee1790f4b29ffcd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-26T20:01:44Z","title_canon_sha256":"ed636b1250f6a2be18006e0dcd1e2be4a4899f5e44b2d44d1a51b0865e816f61"},"schema_version":"1.0","source":{"id":"1103.5154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5154","created_at":"2026-05-18T04:10:34Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5154v2","created_at":"2026-05-18T04:10:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5154","created_at":"2026-05-18T04:10:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q64XL6L2RMBP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q64XL6L2RMBPM3VC","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q64XL6L2","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:d58b14255e4a8792aa1d70575b465369b95f05f9fe8047c002f1e40e85cd7730","target":"graph","created_at":"2026-05-18T04:10:34Z","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":"We determine the effective cone of the Quot scheme parametrizing all rank r, degree d quotient sheaves of the trivial bundle of rank n on P^1. More specifically, we explicitly construct two effective divisors which span the effective cone, and we also express their classes in the Picard group in terms of a known basis.","authors_text":"Shin-Yao Jow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-26T20:01:44Z","title":"The effective cone of the space of parametrized rational curves in a Grassmannian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5154","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":"sha256:8f0174022196de4a1ec52a7632e4528df11cbab801a462111857b7e6bf7a4cbf","target":"record","created_at":"2026-05-18T04:10:34Z","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":"d43ae5dc1bbfb51087ad8224ffe699bc4968e29605a00bd6ee1790f4b29ffcd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-26T20:01:44Z","title_canon_sha256":"ed636b1250f6a2be18006e0dcd1e2be4a4899f5e44b2d44d1a51b0865e816f61"},"schema_version":"1.0","source":{"id":"1103.5154","kind":"arxiv","version":2}},"canonical_sha256":"87b975f97a8b02f66ea212295738b2ef387fc21d8fe878c67edd4fd1ff4aeef9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87b975f97a8b02f66ea212295738b2ef387fc21d8fe878c67edd4fd1ff4aeef9","first_computed_at":"2026-05-18T04:10:34.310828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:34.310828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3VS/ZY5MaTEjEc5RlxwK/OWt8yw+j/BQxgbPKx1Dvut4w4i+/wEszrcaBdUH00qSDIOSuhtQNWCG+MfnAXjdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:34.311586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f0174022196de4a1ec52a7632e4528df11cbab801a462111857b7e6bf7a4cbf","sha256:d58b14255e4a8792aa1d70575b465369b95f05f9fe8047c002f1e40e85cd7730"],"state_sha256":"078470b8b93d92a5e4eae220f20634fe54600f5c5b5748b06a801e16d4fec2d6"}