{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:EB4RHPZOBRM3WY4UH6FEVQFW5F","short_pith_number":"pith:EB4RHPZO","schema_version":"1.0","canonical_sha256":"207913bf2e0c59bb63943f8a4ac0b6e94116c7ef2c86007f08e62b7b4b31f460","source":{"kind":"arxiv","id":"math/0505183","version":2},"attestation_state":"computed","paper":{"title":"New effective bounds on the dimension of a linear system in $\\mathbb P^2$","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Marcin Dumnicki, Witold Jarnicki","submitted_at":"2005-05-10T14:44:13Z","abstract_excerpt":"The main goal of this paper is to present an algorithm bounding the dimension of a linear system of curves of given degree (or monomial basis) with multiple points in general position. As a result we prove the Hirschowitz--Harbourne Conjecture when the multiplicities of base points are bounded by 11."},"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":"math/0505183","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-05-10T14:44:13Z","cross_cats_sorted":[],"title_canon_sha256":"f8d9bff760fb86fc5b20529aa8339d2a1a89c994083253f17a724b9cad7b6e15","abstract_canon_sha256":"d6561fbc0bfa8b91beb76fae5abbc3c738db0f90c1e0686f54831a239e238088"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:23.469452Z","signature_b64":"Kbrsp+QdWnzfNW4VygkbANcVBFFT3hsVIpbk9vBOp7R7kviPlpDP3ovsP5VfT+suaVSHKnmvaEKl6wZHdwrdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"207913bf2e0c59bb63943f8a4ac0b6e94116c7ef2c86007f08e62b7b4b31f460","last_reissued_at":"2026-05-18T01:05:23.468929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:23.468929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New effective bounds on the dimension of a linear system in $\\mathbb P^2$","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Marcin Dumnicki, Witold Jarnicki","submitted_at":"2005-05-10T14:44:13Z","abstract_excerpt":"The main goal of this paper is to present an algorithm bounding the dimension of a linear system of curves of given degree (or monomial basis) with multiple points in general position. As a result we prove the Hirschowitz--Harbourne Conjecture when the multiplicities of base points are bounded by 11."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0505183","kind":"arxiv","version":2},"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":"math/0505183","created_at":"2026-05-18T01:05:23.469003+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0505183v2","created_at":"2026-05-18T01:05:23.469003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0505183","created_at":"2026-05-18T01:05:23.469003+00:00"},{"alias_kind":"pith_short_12","alias_value":"EB4RHPZOBRM3","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"EB4RHPZOBRM3WY4U","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"EB4RHPZO","created_at":"2026-05-18T12:25:53.335082+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/EB4RHPZOBRM3WY4UH6FEVQFW5F","json":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F.json","graph_json":"https://pith.science/api/pith-number/EB4RHPZOBRM3WY4UH6FEVQFW5F/graph.json","events_json":"https://pith.science/api/pith-number/EB4RHPZOBRM3WY4UH6FEVQFW5F/events.json","paper":"https://pith.science/paper/EB4RHPZO"},"agent_actions":{"view_html":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F","download_json":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F.json","view_paper":"https://pith.science/paper/EB4RHPZO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0505183&json=true","fetch_graph":"https://pith.science/api/pith-number/EB4RHPZOBRM3WY4UH6FEVQFW5F/graph.json","fetch_events":"https://pith.science/api/pith-number/EB4RHPZOBRM3WY4UH6FEVQFW5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F/action/storage_attestation","attest_author":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F/action/author_attestation","sign_citation":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F/action/citation_signature","submit_replication":"https://pith.science/pith/EB4RHPZOBRM3WY4UH6FEVQFW5F/action/replication_record"}},"created_at":"2026-05-18T01:05:23.469003+00:00","updated_at":"2026-05-18T01:05:23.469003+00:00"}