{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JTBXKWHCNWSFMPC2ZIES6HBON4","short_pith_number":"pith:JTBXKWHC","canonical_record":{"source":{"id":"1412.1857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-04T22:28:58Z","cross_cats_sorted":[],"title_canon_sha256":"c256b8e66376ea58704ca963c02911096872c0c4619fe52dd680f9a6f2e7f63c","abstract_canon_sha256":"3062e9748bb9c780a55c7a6b9546b47cc016166611157dc575909941740af081"},"schema_version":"1.0"},"canonical_sha256":"4cc37558e26da4563c5aca092f1c2e6f11c932a06c43a22ac9d2671b40c19951","source":{"kind":"arxiv","id":"1412.1857","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1857","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1857v1","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1857","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"pith_short_12","alias_value":"JTBXKWHCNWSF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JTBXKWHCNWSFMPC2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JTBXKWHC","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JTBXKWHCNWSFMPC2ZIES6HBON4","target":"record","payload":{"canonical_record":{"source":{"id":"1412.1857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-04T22:28:58Z","cross_cats_sorted":[],"title_canon_sha256":"c256b8e66376ea58704ca963c02911096872c0c4619fe52dd680f9a6f2e7f63c","abstract_canon_sha256":"3062e9748bb9c780a55c7a6b9546b47cc016166611157dc575909941740af081"},"schema_version":"1.0"},"canonical_sha256":"4cc37558e26da4563c5aca092f1c2e6f11c932a06c43a22ac9d2671b40c19951","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:05.884014Z","signature_b64":"NODI/5oSRH1/vNgN6IUSjbSvdLHf8plxt3fpM1QjuCsj/lUMqdr62rU80lmua2Kf43z61n2gREK08r9mGuPpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cc37558e26da4563c5aca092f1c2e6f11c932a06c43a22ac9d2671b40c19951","last_reissued_at":"2026-05-18T02:32:05.883658Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:05.883658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.1857","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kt7MMlScqCTi+JMVY8XKDKx0KiEi4igJvtO3JKgNHCcR0sUzoaSdjpHVowItuGQnlL/3XzM7GrptJ9XDvoX6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:25:26.760270Z"},"content_sha256":"74de98d98c22f30c88fe96e0a43dc2b82148ebfe4764e725b60fd4ba0990c2e5","schema_version":"1.0","event_id":"sha256:74de98d98c22f30c88fe96e0a43dc2b82148ebfe4764e725b60fd4ba0990c2e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JTBXKWHCNWSFMPC2ZIES6HBON4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Superlinear Convergence of Polynomial-Time Interior-Point Methods for Hyperbolic Cone Optimization Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Levent Tuncel, Yu. Nesterov","submitted_at":"2014-12-04T22:28:58Z","abstract_excerpt":"In this paper, we establish the local superlinear convergence property of some polynomial-time interior-point methods for an important family of conic optimization problems. The main structural property used in our analysis is the logarithmic homogeneity of self-concordant barrier function, which must have {\\em negative curvature}. We propose a new path-following predictor-corrector scheme, which work only in the dual space. It is based on an easily computable gradient proximity measure, which ensures an automatic transformation of the global linear rate of convergence to the local superlinear"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1857","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6rpGltqFDZlGJxnEbgU9xwkxOcK04ZAu5N6XC4/uGwIiN/wrb1tRMJ4jQVYLiCVMrsFnNq9dpVTZ7+WbxFtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:25:26.760648Z"},"content_sha256":"1c4febdea09d0b20ebbb519abf29bee1860b14d4b61001e6a544c2a7f5210616","schema_version":"1.0","event_id":"sha256:1c4febdea09d0b20ebbb519abf29bee1860b14d4b61001e6a544c2a7f5210616"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/bundle.json","state_url":"https://pith.science/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T15:25:26Z","links":{"resolver":"https://pith.science/pith/JTBXKWHCNWSFMPC2ZIES6HBON4","bundle":"https://pith.science/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/bundle.json","state":"https://pith.science/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTBXKWHCNWSFMPC2ZIES6HBON4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JTBXKWHCNWSFMPC2ZIES6HBON4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3062e9748bb9c780a55c7a6b9546b47cc016166611157dc575909941740af081","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-04T22:28:58Z","title_canon_sha256":"c256b8e66376ea58704ca963c02911096872c0c4619fe52dd680f9a6f2e7f63c"},"schema_version":"1.0","source":{"id":"1412.1857","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1857","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1857v1","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1857","created_at":"2026-05-18T02:32:05Z"},{"alias_kind":"pith_short_12","alias_value":"JTBXKWHCNWSF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JTBXKWHCNWSFMPC2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JTBXKWHC","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:1c4febdea09d0b20ebbb519abf29bee1860b14d4b61001e6a544c2a7f5210616","target":"graph","created_at":"2026-05-18T02:32:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we establish the local superlinear convergence property of some polynomial-time interior-point methods for an important family of conic optimization problems. The main structural property used in our analysis is the logarithmic homogeneity of self-concordant barrier function, which must have {\\em negative curvature}. We propose a new path-following predictor-corrector scheme, which work only in the dual space. It is based on an easily computable gradient proximity measure, which ensures an automatic transformation of the global linear rate of convergence to the local superlinear","authors_text":"Levent Tuncel, Yu. Nesterov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-04T22:28:58Z","title":"Local Superlinear Convergence of Polynomial-Time Interior-Point Methods for Hyperbolic Cone Optimization Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1857","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:74de98d98c22f30c88fe96e0a43dc2b82148ebfe4764e725b60fd4ba0990c2e5","target":"record","created_at":"2026-05-18T02:32:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3062e9748bb9c780a55c7a6b9546b47cc016166611157dc575909941740af081","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-04T22:28:58Z","title_canon_sha256":"c256b8e66376ea58704ca963c02911096872c0c4619fe52dd680f9a6f2e7f63c"},"schema_version":"1.0","source":{"id":"1412.1857","kind":"arxiv","version":1}},"canonical_sha256":"4cc37558e26da4563c5aca092f1c2e6f11c932a06c43a22ac9d2671b40c19951","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cc37558e26da4563c5aca092f1c2e6f11c932a06c43a22ac9d2671b40c19951","first_computed_at":"2026-05-18T02:32:05.883658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:05.883658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NODI/5oSRH1/vNgN6IUSjbSvdLHf8plxt3fpM1QjuCsj/lUMqdr62rU80lmua2Kf43z61n2gREK08r9mGuPpCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:05.884014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1857","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74de98d98c22f30c88fe96e0a43dc2b82148ebfe4764e725b60fd4ba0990c2e5","sha256:1c4febdea09d0b20ebbb519abf29bee1860b14d4b61001e6a544c2a7f5210616"],"state_sha256":"ab21fb4a457a8920d1c83676188c982899e88521d4b183809f88d3de7d6697fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DdCnNIqjfkZtWPJFD3L7Sb4dSZpBf+N0lhMwzKA0XCzNfR9f25VKj2HrhTw8SeLIVSJEtZJMqxD8qittT8icAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:25:26.762563Z","bundle_sha256":"c2f1b395890887767ba9ae46a2039001539b5429992c970c56b5ea3df7477a2d"}}