{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YTGSX5HPY2OGW6GEWEYK6RC3FS","short_pith_number":"pith:YTGSX5HP","schema_version":"1.0","canonical_sha256":"c4cd2bf4efc69c6b78c4b130af445b2c805169bd73127e1800a3f36c4a2d32a8","source":{"kind":"arxiv","id":"1704.00382","version":1},"attestation_state":"computed","paper":{"title":"Homaloidal nets and ideals of fat points II: subhomaloidal nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Aron Simis, Zaqueu Ramos","submitted_at":"2017-04-02T22:51:32Z","abstract_excerpt":"This paper is a natural sequel to [22] in that it tackles problems of the same nature. Here one aims at the ideal theoretic and homological properties of a class of ideals of general plane fat points whose second symbolic powers hold virtual multiplicities of proper homaloidal types. For this purpose one carries a detailed examination of their linear systems at the initial degree, a good deal of the results depending on the method of applying the classical arithmetic quadratic transformations of Hudson--Nagata. A subsidiary guide to understand these ideals through their initial linear systems "},"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":"1704.00382","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-04-02T22:51:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"811e095a89d0aeaee5d0fd5a7d64df6bf1ae90a7471341bceab7a2d513efe339","abstract_canon_sha256":"56a0865eca5a10b192ff4ce2756879ade14e67c90de281e9fb7dd9f0d9570bf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:24.629964Z","signature_b64":"M9MAT4RP/0d5sLtG0mNV65z1mU9br8HQwwvXT3Xkx4FrZydfEBX8qpfNF+nBp20fhN0L6Eg2YsqGH3tlaeb9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4cd2bf4efc69c6b78c4b130af445b2c805169bd73127e1800a3f36c4a2d32a8","last_reissued_at":"2026-05-18T00:47:24.629404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:24.629404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homaloidal nets and ideals of fat points II: subhomaloidal nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AC","authors_text":"Aron Simis, Zaqueu Ramos","submitted_at":"2017-04-02T22:51:32Z","abstract_excerpt":"This paper is a natural sequel to [22] in that it tackles problems of the same nature. Here one aims at the ideal theoretic and homological properties of a class of ideals of general plane fat points whose second symbolic powers hold virtual multiplicities of proper homaloidal types. For this purpose one carries a detailed examination of their linear systems at the initial degree, a good deal of the results depending on the method of applying the classical arithmetic quadratic transformations of Hudson--Nagata. A subsidiary guide to understand these ideals through their initial linear systems "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00382","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":"1704.00382","created_at":"2026-05-18T00:47:24.629510+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00382v1","created_at":"2026-05-18T00:47:24.629510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00382","created_at":"2026-05-18T00:47:24.629510+00:00"},{"alias_kind":"pith_short_12","alias_value":"YTGSX5HPY2OG","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YTGSX5HPY2OGW6GE","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YTGSX5HP","created_at":"2026-05-18T12:31:56.362134+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/YTGSX5HPY2OGW6GEWEYK6RC3FS","json":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS.json","graph_json":"https://pith.science/api/pith-number/YTGSX5HPY2OGW6GEWEYK6RC3FS/graph.json","events_json":"https://pith.science/api/pith-number/YTGSX5HPY2OGW6GEWEYK6RC3FS/events.json","paper":"https://pith.science/paper/YTGSX5HP"},"agent_actions":{"view_html":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS","download_json":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS.json","view_paper":"https://pith.science/paper/YTGSX5HP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00382&json=true","fetch_graph":"https://pith.science/api/pith-number/YTGSX5HPY2OGW6GEWEYK6RC3FS/graph.json","fetch_events":"https://pith.science/api/pith-number/YTGSX5HPY2OGW6GEWEYK6RC3FS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS/action/storage_attestation","attest_author":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS/action/author_attestation","sign_citation":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS/action/citation_signature","submit_replication":"https://pith.science/pith/YTGSX5HPY2OGW6GEWEYK6RC3FS/action/replication_record"}},"created_at":"2026-05-18T00:47:24.629510+00:00","updated_at":"2026-05-18T00:47:24.629510+00:00"}