{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QUY7VTM566BVVGQ4Q5PVAIQESA","short_pith_number":"pith:QUY7VTM5","schema_version":"1.0","canonical_sha256":"8531facd9df7835a9a1c875f5022049015c61ea11474af527b040766dc5f04ea","source":{"kind":"arxiv","id":"1302.0871","version":1},"attestation_state":"computed","paper":{"title":"A vanishing theorem and symbolic powers of planar point ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Halszka Tutaj-Gasinska, Marcin Dumnicki, Tomasz Szemberg","submitted_at":"2013-02-04T21:29:26Z","abstract_excerpt":"The purpose of this note is twofold. We present first a vanishing theorem for families of linear series with base ideal being a fat points ideal. We apply then this result in order to give a partial proof of a conjecture raised by Bocci, Harbourne and Huneke concerning containment relations between ordinary and symbolic powers of planar point ideals."},"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":"1302.0871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-02-04T21:29:26Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"d23bd3d60482264198d8457c1e40ffb0601335bf7835de54da1ce1b8432538b7","abstract_canon_sha256":"0072ca79bb3df3525dfc01ad0e215d53918d0dd18349f39be9599785a3853d44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:35.786118Z","signature_b64":"dEaCfDlhy6Kd+OUlY6XbOOOU9X7McDat1fc9S9xCW3OB7E7KKFn8sGBSUsB2RK3CemkkDHs2g2U/LlEfS4a0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8531facd9df7835a9a1c875f5022049015c61ea11474af527b040766dc5f04ea","last_reissued_at":"2026-05-17T23:53:35.785357Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:35.785357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A vanishing theorem and symbolic powers of planar point ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Halszka Tutaj-Gasinska, Marcin Dumnicki, Tomasz Szemberg","submitted_at":"2013-02-04T21:29:26Z","abstract_excerpt":"The purpose of this note is twofold. We present first a vanishing theorem for families of linear series with base ideal being a fat points ideal. We apply then this result in order to give a partial proof of a conjecture raised by Bocci, Harbourne and Huneke concerning containment relations between ordinary and symbolic powers of planar point ideals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0871","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":"1302.0871","created_at":"2026-05-17T23:53:35.785481+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.0871v1","created_at":"2026-05-17T23:53:35.785481+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0871","created_at":"2026-05-17T23:53:35.785481+00:00"},{"alias_kind":"pith_short_12","alias_value":"QUY7VTM566BV","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QUY7VTM566BVVGQ4","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QUY7VTM5","created_at":"2026-05-18T12:27:57.521954+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/QUY7VTM566BVVGQ4Q5PVAIQESA","json":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA.json","graph_json":"https://pith.science/api/pith-number/QUY7VTM566BVVGQ4Q5PVAIQESA/graph.json","events_json":"https://pith.science/api/pith-number/QUY7VTM566BVVGQ4Q5PVAIQESA/events.json","paper":"https://pith.science/paper/QUY7VTM5"},"agent_actions":{"view_html":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA","download_json":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA.json","view_paper":"https://pith.science/paper/QUY7VTM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.0871&json=true","fetch_graph":"https://pith.science/api/pith-number/QUY7VTM566BVVGQ4Q5PVAIQESA/graph.json","fetch_events":"https://pith.science/api/pith-number/QUY7VTM566BVVGQ4Q5PVAIQESA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA/action/storage_attestation","attest_author":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA/action/author_attestation","sign_citation":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA/action/citation_signature","submit_replication":"https://pith.science/pith/QUY7VTM566BVVGQ4Q5PVAIQESA/action/replication_record"}},"created_at":"2026-05-17T23:53:35.785481+00:00","updated_at":"2026-05-17T23:53:35.785481+00:00"}