{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NT623JMAKMUNQS4G3C7KYY7ROH","short_pith_number":"pith:NT623JMA","schema_version":"1.0","canonical_sha256":"6cfdada5805328d84b86d8beac63f171e7153a98e99c613d37f592728aec5735","source":{"kind":"arxiv","id":"1712.04346","version":1},"attestation_state":"computed","paper":{"title":"Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jean-Pierre Demailly (IF)","submitted_at":"2017-12-11T12:19:53Z","abstract_excerpt":"The goal of this survey is to describe some recent results concerning the L 2 extension of holomorphic sections or cohomology classes with values in vector bundles satisfying weak semi-positivity properties. The results presented here are generalized versions of the Ohsawa-Takegoshi extension theorem, and borrow many techniques from the long series of papers by T. Ohsawa. The recent achievement that we want to point out is that the surjectivity property holds true for restriction morphisms to non necessarily reduced subvarieties, provided these are defined as zero varieties of multiplier ideal"},"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":"1712.04346","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-11T12:19:53Z","cross_cats_sorted":[],"title_canon_sha256":"60e9b2dcc5cb44cd9e04f86c0cfd2d7ca6f26f06e7b0848807636ab951895460","abstract_canon_sha256":"531f4acfc2739292dd3543728c53e76cf925c3c19a83c968f23643d984cf3ae6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:08.258659Z","signature_b64":"KOCFpvqNFHz8O9FvbS5e/WMfjbAit958XVx4JR3QUNrb+na6HlswSEBp5F/uajYplvLIt4vEE1EY1KoAO2ogBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cfdada5805328d84b86d8beac63f171e7153a98e99c613d37f592728aec5735","last_reissued_at":"2026-05-18T00:28:08.257976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:08.257976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jean-Pierre Demailly (IF)","submitted_at":"2017-12-11T12:19:53Z","abstract_excerpt":"The goal of this survey is to describe some recent results concerning the L 2 extension of holomorphic sections or cohomology classes with values in vector bundles satisfying weak semi-positivity properties. The results presented here are generalized versions of the Ohsawa-Takegoshi extension theorem, and borrow many techniques from the long series of papers by T. Ohsawa. The recent achievement that we want to point out is that the surjectivity property holds true for restriction morphisms to non necessarily reduced subvarieties, provided these are defined as zero varieties of multiplier ideal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04346","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":"1712.04346","created_at":"2026-05-18T00:28:08.258077+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.04346v1","created_at":"2026-05-18T00:28:08.258077+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04346","created_at":"2026-05-18T00:28:08.258077+00:00"},{"alias_kind":"pith_short_12","alias_value":"NT623JMAKMUN","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NT623JMAKMUNQS4G","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NT623JMA","created_at":"2026-05-18T12:31:34.259226+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/NT623JMAKMUNQS4G3C7KYY7ROH","json":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH.json","graph_json":"https://pith.science/api/pith-number/NT623JMAKMUNQS4G3C7KYY7ROH/graph.json","events_json":"https://pith.science/api/pith-number/NT623JMAKMUNQS4G3C7KYY7ROH/events.json","paper":"https://pith.science/paper/NT623JMA"},"agent_actions":{"view_html":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH","download_json":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH.json","view_paper":"https://pith.science/paper/NT623JMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.04346&json=true","fetch_graph":"https://pith.science/api/pith-number/NT623JMAKMUNQS4G3C7KYY7ROH/graph.json","fetch_events":"https://pith.science/api/pith-number/NT623JMAKMUNQS4G3C7KYY7ROH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH/action/storage_attestation","attest_author":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH/action/author_attestation","sign_citation":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH/action/citation_signature","submit_replication":"https://pith.science/pith/NT623JMAKMUNQS4G3C7KYY7ROH/action/replication_record"}},"created_at":"2026-05-18T00:28:08.258077+00:00","updated_at":"2026-05-18T00:28:08.258077+00:00"}