{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QL5UA6OSD4GHP2HNNFGEBFAN2K","short_pith_number":"pith:QL5UA6OS","schema_version":"1.0","canonical_sha256":"82fb4079d21f0c77e8ed694c40940dd28e9ada486335a02c00c7f1d2d636d170","source":{"kind":"arxiv","id":"1604.06606","version":1},"attestation_state":"computed","paper":{"title":"Reduced normal form of local integral bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Enric Nart, Nath\\'alia Moraes de Oliveira","submitted_at":"2016-04-22T11:03:20Z","abstract_excerpt":"We introduce a canonical form for reduced bases of integral closures of discrete valuation rings, and we describe an algorithm for computing a basis in reduced normal form. This normal form has the same applications as the Hermite normal form: identification of isomorphic objects, construction of global bases by patching local ones, etc. but in addition the bases are reduced, which is a crutial property for several important applications. Except for very particular cases, a basis in Hermite normal form cannot be reduced."},"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":"1604.06606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-22T11:03:20Z","cross_cats_sorted":[],"title_canon_sha256":"dda910728447f0065e4a279eaf4082a7b4e37779d68f8ffab7af16d96292cdab","abstract_canon_sha256":"a19d2a9eef40c95d0fa23ab8f7a1dde33e0db907e03bf17cf444f56fc0ae0ab7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:28.655145Z","signature_b64":"PZ+w1TYOYsKq5OUTpx541lYmYdeA2oC9g+UH1Hih15ufQv/1M1LFGNmovxvGjjyl3la+L/+LRa9Aqt0niViCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82fb4079d21f0c77e8ed694c40940dd28e9ada486335a02c00c7f1d2d636d170","last_reissued_at":"2026-05-18T01:16:28.654632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:28.654632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reduced normal form of local integral bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Enric Nart, Nath\\'alia Moraes de Oliveira","submitted_at":"2016-04-22T11:03:20Z","abstract_excerpt":"We introduce a canonical form for reduced bases of integral closures of discrete valuation rings, and we describe an algorithm for computing a basis in reduced normal form. This normal form has the same applications as the Hermite normal form: identification of isomorphic objects, construction of global bases by patching local ones, etc. but in addition the bases are reduced, which is a crutial property for several important applications. Except for very particular cases, a basis in Hermite normal form cannot be reduced."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06606","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":"1604.06606","created_at":"2026-05-18T01:16:28.654717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.06606v1","created_at":"2026-05-18T01:16:28.654717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06606","created_at":"2026-05-18T01:16:28.654717+00:00"},{"alias_kind":"pith_short_12","alias_value":"QL5UA6OSD4GH","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QL5UA6OSD4GHP2HN","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QL5UA6OS","created_at":"2026-05-18T12:30:39.010887+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/QL5UA6OSD4GHP2HNNFGEBFAN2K","json":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K.json","graph_json":"https://pith.science/api/pith-number/QL5UA6OSD4GHP2HNNFGEBFAN2K/graph.json","events_json":"https://pith.science/api/pith-number/QL5UA6OSD4GHP2HNNFGEBFAN2K/events.json","paper":"https://pith.science/paper/QL5UA6OS"},"agent_actions":{"view_html":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K","download_json":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K.json","view_paper":"https://pith.science/paper/QL5UA6OS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.06606&json=true","fetch_graph":"https://pith.science/api/pith-number/QL5UA6OSD4GHP2HNNFGEBFAN2K/graph.json","fetch_events":"https://pith.science/api/pith-number/QL5UA6OSD4GHP2HNNFGEBFAN2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K/action/storage_attestation","attest_author":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K/action/author_attestation","sign_citation":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K/action/citation_signature","submit_replication":"https://pith.science/pith/QL5UA6OSD4GHP2HNNFGEBFAN2K/action/replication_record"}},"created_at":"2026-05-18T01:16:28.654717+00:00","updated_at":"2026-05-18T01:16:28.654717+00:00"}