{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:V3HD3POVRDPIERT4ZEVKUBDTLS","short_pith_number":"pith:V3HD3POV","canonical_record":{"source":{"id":"1902.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-13T10:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"9b66094e9786e41de0b2845356269d8d0a829314b863c32aa58bbcb2fec55fa5","abstract_canon_sha256":"6aeb529058dfb7e74e0ca6a5efafcd638003b437670c63339f081767be51ef17"},"schema_version":"1.0"},"canonical_sha256":"aece3dbdd588de82467cc92aaa04735ca19f56549a00e40327bca548a9bd1cf1","source":{"kind":"arxiv","id":"1902.04834","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04834","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04834v1","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04834","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"pith_short_12","alias_value":"V3HD3POVRDPI","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V3HD3POVRDPIERT4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V3HD3POV","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:V3HD3POVRDPIERT4ZEVKUBDTLS","target":"record","payload":{"canonical_record":{"source":{"id":"1902.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-13T10:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"9b66094e9786e41de0b2845356269d8d0a829314b863c32aa58bbcb2fec55fa5","abstract_canon_sha256":"6aeb529058dfb7e74e0ca6a5efafcd638003b437670c63339f081767be51ef17"},"schema_version":"1.0"},"canonical_sha256":"aece3dbdd588de82467cc92aaa04735ca19f56549a00e40327bca548a9bd1cf1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:49.226238Z","signature_b64":"9uOrV83ZiI23qyVbj142vpjlqniwHZTH3wgCeReVDKrrdaIWRGSd4svlQJqDkBvjz/PUjC4/4fjp6rJzcz1rDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aece3dbdd588de82467cc92aaa04735ca19f56549a00e40327bca548a9bd1cf1","last_reissued_at":"2026-05-17T23:53:49.225541Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:49.225541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.04834","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":"2026-05-17T23:53:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uk6PKxcXnq3nlxtnCzHnKTsMYGDXEFHedO52Iia4SDRlI5G5vifnBt3bru+4A/Xz/DWGJTnjFPD8oqSS1BK3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:05:59.033214Z"},"content_sha256":"df905b0c77803d7ee374b7262b0371346d1d5702e2ede324770fc7b26c233446","schema_version":"1.0","event_id":"sha256:df905b0c77803d7ee374b7262b0371346d1d5702e2ede324770fc7b26c233446"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:V3HD3POVRDPIERT4ZEVKUBDTLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamic Non-Diagonal Regularization in Interior Point Methods for Linear and Convex Quadratic Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jacek Gondzio, Spyridon Pougkakiotis","submitted_at":"2019-02-13T10:10:42Z","abstract_excerpt":"In this paper, we present a dynamic non-diagonal regularization for interior point methods. The non-diagonal aspect of this regularization is implicit, since all the off-diagonal elements of the regularization matrices are cancelled out by those elements present in the Newton system, which do not contribute important information in the computation of the Newton direction. Such a regularization has multiple goals. The obvious one is to improve the spectral properties of the Newton system solved at each iteration of the interior point method. On the other hand, the regularization matrices introd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04834","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":"2026-05-17T23:53:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qvtdJ5BeG7lW0yEaXN6PASMT0g7tumthOsZzS9yUtwJhqMlKvv9Zi6UB9W+pWGmnVv6wLoaYI+ydW8AfP22KCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:05:59.033893Z"},"content_sha256":"67d4cbf9985851531789076aba6b457c1f4dab9c3cc1c0a510ff2b84146117dc","schema_version":"1.0","event_id":"sha256:67d4cbf9985851531789076aba6b457c1f4dab9c3cc1c0a510ff2b84146117dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/bundle.json","state_url":"https://pith.science/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/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":"2026-06-06T20:05:59Z","links":{"resolver":"https://pith.science/pith/V3HD3POVRDPIERT4ZEVKUBDTLS","bundle":"https://pith.science/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/bundle.json","state":"https://pith.science/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3HD3POVRDPIERT4ZEVKUBDTLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V3HD3POVRDPIERT4ZEVKUBDTLS","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":"6aeb529058dfb7e74e0ca6a5efafcd638003b437670c63339f081767be51ef17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-13T10:10:42Z","title_canon_sha256":"9b66094e9786e41de0b2845356269d8d0a829314b863c32aa58bbcb2fec55fa5"},"schema_version":"1.0","source":{"id":"1902.04834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04834","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04834v1","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04834","created_at":"2026-05-17T23:53:49Z"},{"alias_kind":"pith_short_12","alias_value":"V3HD3POVRDPI","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V3HD3POVRDPIERT4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V3HD3POV","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:67d4cbf9985851531789076aba6b457c1f4dab9c3cc1c0a510ff2b84146117dc","target":"graph","created_at":"2026-05-17T23:53:49Z","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 present a dynamic non-diagonal regularization for interior point methods. The non-diagonal aspect of this regularization is implicit, since all the off-diagonal elements of the regularization matrices are cancelled out by those elements present in the Newton system, which do not contribute important information in the computation of the Newton direction. Such a regularization has multiple goals. The obvious one is to improve the spectral properties of the Newton system solved at each iteration of the interior point method. On the other hand, the regularization matrices introd","authors_text":"Jacek Gondzio, Spyridon Pougkakiotis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-13T10:10:42Z","title":"Dynamic Non-Diagonal Regularization in Interior Point Methods for Linear and Convex Quadratic Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04834","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:df905b0c77803d7ee374b7262b0371346d1d5702e2ede324770fc7b26c233446","target":"record","created_at":"2026-05-17T23:53:49Z","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":"6aeb529058dfb7e74e0ca6a5efafcd638003b437670c63339f081767be51ef17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-13T10:10:42Z","title_canon_sha256":"9b66094e9786e41de0b2845356269d8d0a829314b863c32aa58bbcb2fec55fa5"},"schema_version":"1.0","source":{"id":"1902.04834","kind":"arxiv","version":1}},"canonical_sha256":"aece3dbdd588de82467cc92aaa04735ca19f56549a00e40327bca548a9bd1cf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aece3dbdd588de82467cc92aaa04735ca19f56549a00e40327bca548a9bd1cf1","first_computed_at":"2026-05-17T23:53:49.225541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:49.225541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9uOrV83ZiI23qyVbj142vpjlqniwHZTH3wgCeReVDKrrdaIWRGSd4svlQJqDkBvjz/PUjC4/4fjp6rJzcz1rDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:49.226238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df905b0c77803d7ee374b7262b0371346d1d5702e2ede324770fc7b26c233446","sha256:67d4cbf9985851531789076aba6b457c1f4dab9c3cc1c0a510ff2b84146117dc"],"state_sha256":"278f368d40f17b5f3d24467d595eb00960f7705eb234943f736227752e2c0b5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gvJZW9f8V4LECdfXyiIY7qc6XYuzYGmkOvqxllUkOLQg3QIrS++VeiLnjwsrFayn8+4s045nxEx/bC/asPiTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:05:59.037448Z","bundle_sha256":"219babe47cd5038f7831126956870368720c9b079ba7cdf16472b03a52d69951"}}