{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QUNAM2ZVVOP3KUE7OSIJPYJHUP","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":"5ccefc6ef5f31cf1c1d0930454b57d0d2010d06ce1225d2740e6df38430728c9","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T20:01:16Z","title_canon_sha256":"90d1b976e6729b416b3d5b747bba2a6b98dc29e0eedfb6b1c0e4d1906e0304d0"},"schema_version":"1.0","source":{"id":"1003.5217","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5217","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5217v3","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5217","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"QUNAM2ZVVOP3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QUNAM2ZVVOP3KUE7","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QUNAM2ZV","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:3a880ff7aed0955f771f37fdd9b5311e9a607dc1d0e1119e7f10ba75b13b559c","target":"graph","created_at":"2026-05-18T04:36:33Z","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 present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic and Type IIB/F-theory compactifications, where the manifolds of interest are complete intersections of hypersurfaces in toric varieties supporting additional vector bundles.","authors_text":"Benjamin Jurke, Helmut Roschy, Ralph Blumenhagen, Thorsten Rahn","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T20:01:16Z","title":"Cohomology of Line Bundles: A Computational Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5217","kind":"arxiv","version":3},"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":"sha256:62d5b3637ecc0d0ea835ef0691e92093b06f7a2afc0177966349363febe0a5dd","target":"record","created_at":"2026-05-18T04:36:33Z","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":"5ccefc6ef5f31cf1c1d0930454b57d0d2010d06ce1225d2740e6df38430728c9","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T20:01:16Z","title_canon_sha256":"90d1b976e6729b416b3d5b747bba2a6b98dc29e0eedfb6b1c0e4d1906e0304d0"},"schema_version":"1.0","source":{"id":"1003.5217","kind":"arxiv","version":3}},"canonical_sha256":"851a066b35ab9fb5509f749097e127a3ed8917feb9fdbe73038f602ef45b083e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"851a066b35ab9fb5509f749097e127a3ed8917feb9fdbe73038f602ef45b083e","first_computed_at":"2026-05-18T04:36:33.830427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:33.830427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dN7h3COM9EzZSoKjn7z6Vk9O72xOKdTuHBO5q8sPvs8+sONWXmpMguZjd/Gtz1bu0Qb7hSv2/mUg3i9VbgD9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:33.830835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5217","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62d5b3637ecc0d0ea835ef0691e92093b06f7a2afc0177966349363febe0a5dd","sha256:3a880ff7aed0955f771f37fdd9b5311e9a607dc1d0e1119e7f10ba75b13b559c"],"state_sha256":"77f335ea1ec17a1d264e35ee4a92f05f4536f8fcc9ac2d85fb872a0acb175018"}