{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KAPD63VQOZMS4MIJ72EOQ2WLH7","short_pith_number":"pith:KAPD63VQ","schema_version":"1.0","canonical_sha256":"501e3f6eb076592e3109fe88e86acb3ff83623dab03b14ae0b5549c2606f36af","source":{"kind":"arxiv","id":"1407.0135","version":3},"attestation_state":"computed","paper":{"title":"Geometry and combinatoric of Minkowski--Voronoi 3-dimesional continued fractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.NT","authors_text":"Alexey Ustinov, Oleg Karpenkov","submitted_at":"2014-07-01T08:22:38Z","abstract_excerpt":"In this paper we investigate the combinatorial structure of 3-dimensional Minkowski-Voronoi continued fractions. Our main goal is to prove the asymptotic stability of Minkowski-Voronoi complexes in special two-parametric families of rank-1 lattices. In addition we construct explicitly the complexes for the case of White's rank-1 lattices and provide with a hypothetic description in a more complicated settings."},"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":"1407.0135","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-01T08:22:38Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"f92314d8b7eb86cccb269dd57c6b7ed813cdc9c9f8b132d92a6438c43533a2c7","abstract_canon_sha256":"92e0c2cb48937d16f8f4529c29d833b8f33f169d008cb818bfd5c67e4149a03d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:37.678074Z","signature_b64":"9hua7rutxCg+s+m+c0wFnnoF82FuG6aQSb4NwP6YC6Fs0t7//ioM3yEVMk55hbotKPs4rnIO/PTxJ0c+vlA3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"501e3f6eb076592e3109fe88e86acb3ff83623dab03b14ae0b5549c2606f36af","last_reissued_at":"2026-05-18T00:51:37.677541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:37.677541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry and combinatoric of Minkowski--Voronoi 3-dimesional continued fractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.NT","authors_text":"Alexey Ustinov, Oleg Karpenkov","submitted_at":"2014-07-01T08:22:38Z","abstract_excerpt":"In this paper we investigate the combinatorial structure of 3-dimensional Minkowski-Voronoi continued fractions. Our main goal is to prove the asymptotic stability of Minkowski-Voronoi complexes in special two-parametric families of rank-1 lattices. In addition we construct explicitly the complexes for the case of White's rank-1 lattices and provide with a hypothetic description in a more complicated settings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0135","kind":"arxiv","version":3},"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":"1407.0135","created_at":"2026-05-18T00:51:37.677620+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0135v3","created_at":"2026-05-18T00:51:37.677620+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0135","created_at":"2026-05-18T00:51:37.677620+00:00"},{"alias_kind":"pith_short_12","alias_value":"KAPD63VQOZMS","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KAPD63VQOZMS4MIJ","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KAPD63VQ","created_at":"2026-05-18T12:28:35.611951+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/KAPD63VQOZMS4MIJ72EOQ2WLH7","json":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7.json","graph_json":"https://pith.science/api/pith-number/KAPD63VQOZMS4MIJ72EOQ2WLH7/graph.json","events_json":"https://pith.science/api/pith-number/KAPD63VQOZMS4MIJ72EOQ2WLH7/events.json","paper":"https://pith.science/paper/KAPD63VQ"},"agent_actions":{"view_html":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7","download_json":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7.json","view_paper":"https://pith.science/paper/KAPD63VQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0135&json=true","fetch_graph":"https://pith.science/api/pith-number/KAPD63VQOZMS4MIJ72EOQ2WLH7/graph.json","fetch_events":"https://pith.science/api/pith-number/KAPD63VQOZMS4MIJ72EOQ2WLH7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7/action/storage_attestation","attest_author":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7/action/author_attestation","sign_citation":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7/action/citation_signature","submit_replication":"https://pith.science/pith/KAPD63VQOZMS4MIJ72EOQ2WLH7/action/replication_record"}},"created_at":"2026-05-18T00:51:37.677620+00:00","updated_at":"2026-05-18T00:51:37.677620+00:00"}