{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MKCLNVUM32GOX6TZ3IHIGFMWXV","short_pith_number":"pith:MKCLNVUM","schema_version":"1.0","canonical_sha256":"6284b6d68cde8cebfa79da0e831596bd78c8e5b3ced91d4c283adcb42ad16f08","source":{"kind":"arxiv","id":"1702.04476","version":1},"attestation_state":"computed","paper":{"title":"Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D.S. Nagaraj, F. Laytimi","submitted_at":"2017-02-15T06:51:26Z","abstract_excerpt":"In this article we prove a general result on a nef vector bundle $E$ on a projective manifold $X$ of dimension $n$ depending on the vector space $H^{n,n} (X, E). $ It is also shown that $H^{n,n} (X, E)=0$ for an indecomposable nef rank 2 vector bundles $E$ on some specific type of $n$ dimensional projective manifold $X.$ The same vanishing shown to hold for indecomposable nef and big rank 2 vector bundles on any variety with trivial canonical bundle."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1702.04476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-02-15T06:51:26Z","cross_cats_sorted":[],"title_canon_sha256":"59e301b649c374ac02a69285958c95441e37f8603a55c008a1d220db28c95925","abstract_canon_sha256":"4560647a55af6b68ddbe666bfde265ecbba0747a70063e453a82cbf1ec30359d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:41.578441Z","signature_b64":"6lRLb67EegLhnmCDZ9dPta7g3ydJPRpGy5+qDN/pOJJ4vpJ5kuiu5qr8LtMZjmoJorpxbEVD8AqVURDsEwtODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6284b6d68cde8cebfa79da0e831596bd78c8e5b3ced91d4c283adcb42ad16f08","last_reissued_at":"2026-05-18T00:50:41.577729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:41.577729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"D.S. Nagaraj, F. Laytimi","submitted_at":"2017-02-15T06:51:26Z","abstract_excerpt":"In this article we prove a general result on a nef vector bundle $E$ on a projective manifold $X$ of dimension $n$ depending on the vector space $H^{n,n} (X, E). $ It is also shown that $H^{n,n} (X, E)=0$ for an indecomposable nef rank 2 vector bundles $E$ on some specific type of $n$ dimensional projective manifold $X.$ The same vanishing shown to hold for indecomposable nef and big rank 2 vector bundles on any variety with trivial canonical bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04476","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1702.04476","created_at":"2026-05-18T00:50:41.577823+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.04476v1","created_at":"2026-05-18T00:50:41.577823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04476","created_at":"2026-05-18T00:50:41.577823+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKCLNVUM32GO","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKCLNVUM32GOX6TZ","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKCLNVUM","created_at":"2026-05-18T12:31:31.346846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV","json":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV.json","graph_json":"https://pith.science/api/pith-number/MKCLNVUM32GOX6TZ3IHIGFMWXV/graph.json","events_json":"https://pith.science/api/pith-number/MKCLNVUM32GOX6TZ3IHIGFMWXV/events.json","paper":"https://pith.science/paper/MKCLNVUM"},"agent_actions":{"view_html":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV","download_json":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV.json","view_paper":"https://pith.science/paper/MKCLNVUM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.04476&json=true","fetch_graph":"https://pith.science/api/pith-number/MKCLNVUM32GOX6TZ3IHIGFMWXV/graph.json","fetch_events":"https://pith.science/api/pith-number/MKCLNVUM32GOX6TZ3IHIGFMWXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV/action/storage_attestation","attest_author":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV/action/author_attestation","sign_citation":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV/action/citation_signature","submit_replication":"https://pith.science/pith/MKCLNVUM32GOX6TZ3IHIGFMWXV/action/replication_record"}},"created_at":"2026-05-18T00:50:41.577823+00:00","updated_at":"2026-05-18T00:50:41.577823+00:00"}