{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:H5NP3OTSQSNKFFDT35ZIIELGDD","short_pith_number":"pith:H5NP3OTS","schema_version":"1.0","canonical_sha256":"3f5afdba72849aa29473df7284116618f4b67c2ced9584552a3436bac652976f","source":{"kind":"arxiv","id":"1604.00513","version":2},"attestation_state":"computed","paper":{"title":"Towards an accurate solution of wireless network design problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI"],"primary_cat":"math.OC","authors_text":"Ambros Gleixner, Fabio D'Andreagiovanni","submitted_at":"2016-04-02T15:06:44Z","abstract_excerpt":"The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service coverage conditions. This leads to mixed-integer linear programs with constraint matrices containing tiny coefficients that vary widely in their order of magnitude. These formulations are known to be challenging even for state-of-the-art solvers: the standard numerical precision supported by these solvers is usually not sufficient to reliably guarantee feasib"},"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":"1604.00513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-02T15:06:44Z","cross_cats_sorted":["cs.NI"],"title_canon_sha256":"93ad8bf773d42a267498765a2dd5e7665d59ed0635b2a3dd515fee8932e204ab","abstract_canon_sha256":"88c2a161b0064a41f8a39fb240a70a62f395cd5be4e98d209c2d955d841866eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:26.163000Z","signature_b64":"5bk0pyOpucB77qEKVdBdFw6T9i4ulEA2ov4BducWs8Sk2TXi0emxoYVhOKq6nzOBmajWq1jcpbDPf01lJVQXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f5afdba72849aa29473df7284116618f4b67c2ced9584552a3436bac652976f","last_reissued_at":"2026-05-18T00:45:26.162298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:26.162298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards an accurate solution of wireless network design problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI"],"primary_cat":"math.OC","authors_text":"Ambros Gleixner, Fabio D'Andreagiovanni","submitted_at":"2016-04-02T15:06:44Z","abstract_excerpt":"The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service coverage conditions. This leads to mixed-integer linear programs with constraint matrices containing tiny coefficients that vary widely in their order of magnitude. These formulations are known to be challenging even for state-of-the-art solvers: the standard numerical precision supported by these solvers is usually not sufficient to reliably guarantee feasib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00513","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":"1604.00513","created_at":"2026-05-18T00:45:26.162421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.00513v2","created_at":"2026-05-18T00:45:26.162421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00513","created_at":"2026-05-18T00:45:26.162421+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5NP3OTSQSNK","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5NP3OTSQSNKFFDT","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5NP3OTS","created_at":"2026-05-18T12:30:19.053100+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/H5NP3OTSQSNKFFDT35ZIIELGDD","json":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD.json","graph_json":"https://pith.science/api/pith-number/H5NP3OTSQSNKFFDT35ZIIELGDD/graph.json","events_json":"https://pith.science/api/pith-number/H5NP3OTSQSNKFFDT35ZIIELGDD/events.json","paper":"https://pith.science/paper/H5NP3OTS"},"agent_actions":{"view_html":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD","download_json":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD.json","view_paper":"https://pith.science/paper/H5NP3OTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.00513&json=true","fetch_graph":"https://pith.science/api/pith-number/H5NP3OTSQSNKFFDT35ZIIELGDD/graph.json","fetch_events":"https://pith.science/api/pith-number/H5NP3OTSQSNKFFDT35ZIIELGDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD/action/storage_attestation","attest_author":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD/action/author_attestation","sign_citation":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD/action/citation_signature","submit_replication":"https://pith.science/pith/H5NP3OTSQSNKFFDT35ZIIELGDD/action/replication_record"}},"created_at":"2026-05-18T00:45:26.162421+00:00","updated_at":"2026-05-18T00:45:26.162421+00:00"}