{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LSZCFNGCVRX4PTKHZVNGLZR6BY","short_pith_number":"pith:LSZCFNGC","schema_version":"1.0","canonical_sha256":"5cb222b4c2ac6fc7cd47cd5a65e63e0e1144e4ec600722054e6e5cec8a75a5e3","source":{"kind":"arxiv","id":"1506.04372","version":1},"attestation_state":"computed","paper":{"title":"A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lucja Farnik","submitted_at":"2015-06-14T10:02:37Z","abstract_excerpt":"We study k-very ampleness of line bundles on blow-ups of hyperelliptic surfaces at r very general points. We obtain a numerical condition on the number of points for which a line bundle on the blow-up of a hyperelliptic surface at these r points gives an embedding of order k."},"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":"1506.04372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-14T10:02:37Z","cross_cats_sorted":[],"title_canon_sha256":"417478980b2dad794c4e47e5869fe128075b9283ac49c5837f78bd406b792a46","abstract_canon_sha256":"c787ab6c6fc1ca6c3931a2a18382ec5de5e2038b20f65c66c7cadccf4feab5bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:52.613689Z","signature_b64":"s6FJY8AXLCwqt3CFwAKaDqH7NXdvF5ZDTzn8JAPmuu3geFnJYJ0GlqQHfgI1AdsNcvYodLEELuSkiz02i0SeDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cb222b4c2ac6fc7cd47cd5a65e63e0e1144e4ec600722054e6e5cec8a75a5e3","last_reissued_at":"2026-05-18T01:18:52.613145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:52.613145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lucja Farnik","submitted_at":"2015-06-14T10:02:37Z","abstract_excerpt":"We study k-very ampleness of line bundles on blow-ups of hyperelliptic surfaces at r very general points. We obtain a numerical condition on the number of points for which a line bundle on the blow-up of a hyperelliptic surface at these r points gives an embedding of order k."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04372","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":"1506.04372","created_at":"2026-05-18T01:18:52.613219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.04372v1","created_at":"2026-05-18T01:18:52.613219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04372","created_at":"2026-05-18T01:18:52.613219+00:00"},{"alias_kind":"pith_short_12","alias_value":"LSZCFNGCVRX4","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LSZCFNGCVRX4PTKH","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LSZCFNGC","created_at":"2026-05-18T12:29:29.992203+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/LSZCFNGCVRX4PTKHZVNGLZR6BY","json":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY.json","graph_json":"https://pith.science/api/pith-number/LSZCFNGCVRX4PTKHZVNGLZR6BY/graph.json","events_json":"https://pith.science/api/pith-number/LSZCFNGCVRX4PTKHZVNGLZR6BY/events.json","paper":"https://pith.science/paper/LSZCFNGC"},"agent_actions":{"view_html":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY","download_json":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY.json","view_paper":"https://pith.science/paper/LSZCFNGC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.04372&json=true","fetch_graph":"https://pith.science/api/pith-number/LSZCFNGCVRX4PTKHZVNGLZR6BY/graph.json","fetch_events":"https://pith.science/api/pith-number/LSZCFNGCVRX4PTKHZVNGLZR6BY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY/action/storage_attestation","attest_author":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY/action/author_attestation","sign_citation":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY/action/citation_signature","submit_replication":"https://pith.science/pith/LSZCFNGCVRX4PTKHZVNGLZR6BY/action/replication_record"}},"created_at":"2026-05-18T01:18:52.613219+00:00","updated_at":"2026-05-18T01:18:52.613219+00:00"}