{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FYYZ7JRMVQU32MLTTO666WVOJ6","short_pith_number":"pith:FYYZ7JRM","schema_version":"1.0","canonical_sha256":"2e319fa62cac29bd31739bbdef5aae4f8216ad271edfca9b5bb1fbee5fefb6b1","source":{"kind":"arxiv","id":"1305.1284","version":2},"attestation_state":"computed","paper":{"title":"Solving the continuous nonlinear resource allocation problem with an interior point method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"James J. Rohal, Stephen E. Wright","submitted_at":"2013-05-06T19:32:36Z","abstract_excerpt":"Resource allocation problems are usually solved with specialized methods exploiting their general sparsity and problem-specific algebraic structure. We show that the sparsity structure alone yields a closed-form Newton search direction for the generic primal-dual interior point method. Computational tests show that the interior point method consistently outperforms the best specialized methods when no additional algebraic structure is available."},"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":"1305.1284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-05-06T19:32:36Z","cross_cats_sorted":[],"title_canon_sha256":"fd282cb77e481855ce8d19103e7a0f932417da391a2458a47ae6f7397a761285","abstract_canon_sha256":"39a4e7e1141a82f0eec66b06e07bb1f086b42bf7c8fda409d95c5716e29529d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:39.432841Z","signature_b64":"X/929O3EGFRpDzUpW0q+22xF4c/Xwj0VztdGk7rMjCtD6i4pPSZI33XbEKKq9qyYYTJBh8xPDTmrG/2Fha3xCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e319fa62cac29bd31739bbdef5aae4f8216ad271edfca9b5bb1fbee5fefb6b1","last_reissued_at":"2026-05-18T02:46:39.432507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:39.432507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solving the continuous nonlinear resource allocation problem with an interior point method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"James J. Rohal, Stephen E. Wright","submitted_at":"2013-05-06T19:32:36Z","abstract_excerpt":"Resource allocation problems are usually solved with specialized methods exploiting their general sparsity and problem-specific algebraic structure. We show that the sparsity structure alone yields a closed-form Newton search direction for the generic primal-dual interior point method. Computational tests show that the interior point method consistently outperforms the best specialized methods when no additional algebraic structure is available."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1284","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":"1305.1284","created_at":"2026-05-18T02:46:39.432560+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.1284v2","created_at":"2026-05-18T02:46:39.432560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1284","created_at":"2026-05-18T02:46:39.432560+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYYZ7JRMVQU3","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYYZ7JRMVQU32MLT","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYYZ7JRM","created_at":"2026-05-18T12:27:45.050594+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/FYYZ7JRMVQU32MLTTO666WVOJ6","json":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6.json","graph_json":"https://pith.science/api/pith-number/FYYZ7JRMVQU32MLTTO666WVOJ6/graph.json","events_json":"https://pith.science/api/pith-number/FYYZ7JRMVQU32MLTTO666WVOJ6/events.json","paper":"https://pith.science/paper/FYYZ7JRM"},"agent_actions":{"view_html":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6","download_json":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6.json","view_paper":"https://pith.science/paper/FYYZ7JRM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.1284&json=true","fetch_graph":"https://pith.science/api/pith-number/FYYZ7JRMVQU32MLTTO666WVOJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/FYYZ7JRMVQU32MLTTO666WVOJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6/action/storage_attestation","attest_author":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6/action/author_attestation","sign_citation":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6/action/citation_signature","submit_replication":"https://pith.science/pith/FYYZ7JRMVQU32MLTTO666WVOJ6/action/replication_record"}},"created_at":"2026-05-18T02:46:39.432560+00:00","updated_at":"2026-05-18T02:46:39.432560+00:00"}