{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BECE4QTHY3XRXUPHLO77LMATRK","short_pith_number":"pith:BECE4QTH","schema_version":"1.0","canonical_sha256":"09044e4267c6ef1bd1e75bbff5b0138a8a7a008265693577d95d22369d8c2e43","source":{"kind":"arxiv","id":"1406.5941","version":1},"attestation_state":"computed","paper":{"title":"On positivity and base loci of vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex K\\\"uronya, Ernesto Carlo Mistretta, S\\'andor J Kov\\'acs, Stefano Urbinati, Thomas Bauer, Tomasz Szemberg","submitted_at":"2014-06-23T15:22:45Z","abstract_excerpt":"The aim of this note is to shed some light on the relationships among some notions of positivity for vector bundles that arose in recent decades.\n  Our purpose is to study several of the positivity notions studied for vector bundles with some notions of asymptotic base loci that can be defined on the variety itself, rather than on the projectivization of the given vector bundle. We relate some of the different notions conjectured to be equivalent with the help of these base loci, and we show that these can help simplify the various relationships between the positivity properties present in the"},"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":"1406.5941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-23T15:22:45Z","cross_cats_sorted":[],"title_canon_sha256":"8551fb41187fd51cfa451bf7fb4c795630b220e6895a2402c5661f46ff8d954a","abstract_canon_sha256":"e5b5ec0d8c81564a0f9bae7ddd403ce769ea727664cafc800931e419980de2c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:10.423598Z","signature_b64":"yi5UnUlhDDYrFQ3VKUyGRQUMc1ksKc4kDJgEbQnD2UFVXDjwDAjJgZ6SVomLMN4sxp7lWX0jF4miQYr3MqKqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09044e4267c6ef1bd1e75bbff5b0138a8a7a008265693577d95d22369d8c2e43","last_reissued_at":"2026-05-18T02:49:10.422973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:10.422973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On positivity and base loci of vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex K\\\"uronya, Ernesto Carlo Mistretta, S\\'andor J Kov\\'acs, Stefano Urbinati, Thomas Bauer, Tomasz Szemberg","submitted_at":"2014-06-23T15:22:45Z","abstract_excerpt":"The aim of this note is to shed some light on the relationships among some notions of positivity for vector bundles that arose in recent decades.\n  Our purpose is to study several of the positivity notions studied for vector bundles with some notions of asymptotic base loci that can be defined on the variety itself, rather than on the projectivization of the given vector bundle. We relate some of the different notions conjectured to be equivalent with the help of these base loci, and we show that these can help simplify the various relationships between the positivity properties present in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5941","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":"1406.5941","created_at":"2026-05-18T02:49:10.423064+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.5941v1","created_at":"2026-05-18T02:49:10.423064+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5941","created_at":"2026-05-18T02:49:10.423064+00:00"},{"alias_kind":"pith_short_12","alias_value":"BECE4QTHY3XR","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BECE4QTHY3XRXUPH","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BECE4QTH","created_at":"2026-05-18T12:28:22.404517+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/BECE4QTHY3XRXUPHLO77LMATRK","json":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK.json","graph_json":"https://pith.science/api/pith-number/BECE4QTHY3XRXUPHLO77LMATRK/graph.json","events_json":"https://pith.science/api/pith-number/BECE4QTHY3XRXUPHLO77LMATRK/events.json","paper":"https://pith.science/paper/BECE4QTH"},"agent_actions":{"view_html":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK","download_json":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK.json","view_paper":"https://pith.science/paper/BECE4QTH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.5941&json=true","fetch_graph":"https://pith.science/api/pith-number/BECE4QTHY3XRXUPHLO77LMATRK/graph.json","fetch_events":"https://pith.science/api/pith-number/BECE4QTHY3XRXUPHLO77LMATRK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK/action/storage_attestation","attest_author":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK/action/author_attestation","sign_citation":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK/action/citation_signature","submit_replication":"https://pith.science/pith/BECE4QTHY3XRXUPHLO77LMATRK/action/replication_record"}},"created_at":"2026-05-18T02:49:10.423064+00:00","updated_at":"2026-05-18T02:49:10.423064+00:00"}