{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OZZX2JRSAG2TNOIMIK75GDIM7N","short_pith_number":"pith:OZZX2JRS","schema_version":"1.0","canonical_sha256":"76737d263201b536b90c42bfd30d0cfb6f9100d7f259feb1ce7645479320524b","source":{"kind":"arxiv","id":"1212.4417","version":1},"attestation_state":"computed","paper":{"title":"The Nakano vanishing theorem and a vanishing theorem of Demailly-Nadel type for holomorphic vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Hossein Raufi","submitted_at":"2012-12-18T16:38:43Z","abstract_excerpt":"We prove the classical Nakano vanishing theorem with H\\\"ormander $L^2$-estimates on a compact K\\\"ahler manifold using Siu's so called $\\partial\\dbar$-Bochner-Kodaira method, thereby avoiding the K\\\"ahler identities completely. We then introduce singular hermitian metrics on holomorphic vector bundles, and proceed to prove a vanishing theorem of Demailly-Nadel type for these in the special case where the base manifold is a Riemann surface."},"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":"1212.4417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-12-18T16:38:43Z","cross_cats_sorted":["math.AG","math.DG"],"title_canon_sha256":"f096425fda6b5f5908abe40b8cd998f6f7604451b27b25e357009023c850de0e","abstract_canon_sha256":"897ae1a6c4bf9099aeff7868108ed5111a5ce707a40fa5810275284d0109fb57"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:13.082028Z","signature_b64":"MvlSOHEMD5EoRRwYKgbaWyF/Cltr/g+CRalZRkhxeCKpoHoNGYm19mlg0d60CofBvlohaAqbdDB6M+JiCDm7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76737d263201b536b90c42bfd30d0cfb6f9100d7f259feb1ce7645479320524b","last_reissued_at":"2026-05-18T03:38:13.081462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:13.081462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Nakano vanishing theorem and a vanishing theorem of Demailly-Nadel type for holomorphic vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Hossein Raufi","submitted_at":"2012-12-18T16:38:43Z","abstract_excerpt":"We prove the classical Nakano vanishing theorem with H\\\"ormander $L^2$-estimates on a compact K\\\"ahler manifold using Siu's so called $\\partial\\dbar$-Bochner-Kodaira method, thereby avoiding the K\\\"ahler identities completely. We then introduce singular hermitian metrics on holomorphic vector bundles, and proceed to prove a vanishing theorem of Demailly-Nadel type for these in the special case where the base manifold is a Riemann surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4417","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":"1212.4417","created_at":"2026-05-18T03:38:13.081553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4417v1","created_at":"2026-05-18T03:38:13.081553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4417","created_at":"2026-05-18T03:38:13.081553+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZZX2JRSAG2T","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZZX2JRSAG2TNOIM","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZZX2JRS","created_at":"2026-05-18T12:27:18.751474+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/OZZX2JRSAG2TNOIMIK75GDIM7N","json":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N.json","graph_json":"https://pith.science/api/pith-number/OZZX2JRSAG2TNOIMIK75GDIM7N/graph.json","events_json":"https://pith.science/api/pith-number/OZZX2JRSAG2TNOIMIK75GDIM7N/events.json","paper":"https://pith.science/paper/OZZX2JRS"},"agent_actions":{"view_html":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N","download_json":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N.json","view_paper":"https://pith.science/paper/OZZX2JRS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4417&json=true","fetch_graph":"https://pith.science/api/pith-number/OZZX2JRSAG2TNOIMIK75GDIM7N/graph.json","fetch_events":"https://pith.science/api/pith-number/OZZX2JRSAG2TNOIMIK75GDIM7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N/action/storage_attestation","attest_author":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N/action/author_attestation","sign_citation":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N/action/citation_signature","submit_replication":"https://pith.science/pith/OZZX2JRSAG2TNOIMIK75GDIM7N/action/replication_record"}},"created_at":"2026-05-18T03:38:13.081553+00:00","updated_at":"2026-05-18T03:38:13.081553+00:00"}