{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:C4VEY3S7IROQMIG5BU7QINJI4F","short_pith_number":"pith:C4VEY3S7","canonical_record":{"source":{"id":"1702.04300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-14T17:23:31Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"68ee1bd6cbe601ebce79a7aff24c6e3e556f5f8a5325f8d885d5e350a5296c5f","abstract_canon_sha256":"891bf753f2681081a0f43f769a4ba637d815e028e3c083ebee371eb930d0b4d1"},"schema_version":"1.0"},"canonical_sha256":"172a4c6e5f445d0620dd0d3f043528e1599ca519e2784f9858d9c4593e62d32d","source":{"kind":"arxiv","id":"1702.04300","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04300","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04300v1","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04300","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"C4VEY3S7IROQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C4VEY3S7IROQMIG5","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C4VEY3S7","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:C4VEY3S7IROQMIG5BU7QINJI4F","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-14T17:23:31Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"68ee1bd6cbe601ebce79a7aff24c6e3e556f5f8a5325f8d885d5e350a5296c5f","abstract_canon_sha256":"891bf753f2681081a0f43f769a4ba637d815e028e3c083ebee371eb930d0b4d1"},"schema_version":"1.0"},"canonical_sha256":"172a4c6e5f445d0620dd0d3f043528e1599ca519e2784f9858d9c4593e62d32d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:43.569615Z","signature_b64":"fVMaS24Ri/mRXDqbe2WKya1KI9gHDH1PeKTcnxqr11PWmQlDjs0EwySWupih/uxSkNDwxVdwwMsnPz08s7QMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172a4c6e5f445d0620dd0d3f043528e1599ca519e2784f9858d9c4593e62d32d","last_reissued_at":"2026-05-18T00:50:43.568856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:43.568856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04300","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":"2026-05-18T00:50:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0w6MdWZn3mGq+Iii4gQB1ga3xUmyTltU9uf97ccHb58mv1w6PNZma9rzA+KUORFWPcIfWJdU8ykJrPFKVLY4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:34:23.789267Z"},"content_sha256":"fab516afe775f5847c3b5c47d2b9d692e7ac1c15c8109bef409b40006736070f","schema_version":"1.0","event_id":"sha256:fab516afe775f5847c3b5c47d2b9d692e7ac1c15c8109bef409b40006736070f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:C4VEY3S7IROQMIG5BU7QINJI4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.CC","authors_text":"Gabriel Haeser, Hongcheng Liu, Yinyu Ye","submitted_at":"2017-02-14T17:23:31Z","abstract_excerpt":"In this paper we consider the minimization of a continuous function that is potentially not differentiable or not twice differentiable on the boundary of the feasible region. By exploiting an interior point technique, we present first- and second-order optimality conditions for this problem that reduces to classical ones when the derivative on the boundary is available. For this type of problems, existing necessary conditions often rely on the notion of subdifferential or become non-trivially weaker than the KKT condition in the (twice-)differentiable counterpart problems. In contrast, this pa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04300","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":"2026-05-18T00:50:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lvNxyb5rILlutpVtVKMKxTdbbczvzGqkbeaVaQVqrrB301Qe459FYhMfqXPrDskw7lgcbwyDse1XORTrGckQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:34:23.789628Z"},"content_sha256":"242ebaeaf46aa43977a13dc408f28b6fe723dcf681859bb8e1fe3943661c5a84","schema_version":"1.0","event_id":"sha256:242ebaeaf46aa43977a13dc408f28b6fe723dcf681859bb8e1fe3943661c5a84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4VEY3S7IROQMIG5BU7QINJI4F/bundle.json","state_url":"https://pith.science/pith/C4VEY3S7IROQMIG5BU7QINJI4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4VEY3S7IROQMIG5BU7QINJI4F/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":"2026-06-04T19:34:23Z","links":{"resolver":"https://pith.science/pith/C4VEY3S7IROQMIG5BU7QINJI4F","bundle":"https://pith.science/pith/C4VEY3S7IROQMIG5BU7QINJI4F/bundle.json","state":"https://pith.science/pith/C4VEY3S7IROQMIG5BU7QINJI4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4VEY3S7IROQMIG5BU7QINJI4F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C4VEY3S7IROQMIG5BU7QINJI4F","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":"891bf753f2681081a0f43f769a4ba637d815e028e3c083ebee371eb930d0b4d1","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-14T17:23:31Z","title_canon_sha256":"68ee1bd6cbe601ebce79a7aff24c6e3e556f5f8a5325f8d885d5e350a5296c5f"},"schema_version":"1.0","source":{"id":"1702.04300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04300","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04300v1","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04300","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"C4VEY3S7IROQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C4VEY3S7IROQMIG5","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C4VEY3S7","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:242ebaeaf46aa43977a13dc408f28b6fe723dcf681859bb8e1fe3943661c5a84","target":"graph","created_at":"2026-05-18T00:50:43Z","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 consider the minimization of a continuous function that is potentially not differentiable or not twice differentiable on the boundary of the feasible region. By exploiting an interior point technique, we present first- and second-order optimality conditions for this problem that reduces to classical ones when the derivative on the boundary is available. For this type of problems, existing necessary conditions often rely on the notion of subdifferential or become non-trivially weaker than the KKT condition in the (twice-)differentiable counterpart problems. In contrast, this pa","authors_text":"Gabriel Haeser, Hongcheng Liu, Yinyu Ye","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-14T17:23:31Z","title":"Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04300","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:fab516afe775f5847c3b5c47d2b9d692e7ac1c15c8109bef409b40006736070f","target":"record","created_at":"2026-05-18T00:50:43Z","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":"891bf753f2681081a0f43f769a4ba637d815e028e3c083ebee371eb930d0b4d1","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2017-02-14T17:23:31Z","title_canon_sha256":"68ee1bd6cbe601ebce79a7aff24c6e3e556f5f8a5325f8d885d5e350a5296c5f"},"schema_version":"1.0","source":{"id":"1702.04300","kind":"arxiv","version":1}},"canonical_sha256":"172a4c6e5f445d0620dd0d3f043528e1599ca519e2784f9858d9c4593e62d32d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172a4c6e5f445d0620dd0d3f043528e1599ca519e2784f9858d9c4593e62d32d","first_computed_at":"2026-05-18T00:50:43.568856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:43.568856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fVMaS24Ri/mRXDqbe2WKya1KI9gHDH1PeKTcnxqr11PWmQlDjs0EwySWupih/uxSkNDwxVdwwMsnPz08s7QMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:43.569615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fab516afe775f5847c3b5c47d2b9d692e7ac1c15c8109bef409b40006736070f","sha256:242ebaeaf46aa43977a13dc408f28b6fe723dcf681859bb8e1fe3943661c5a84"],"state_sha256":"948fd023dcb289d642852c3902469132884487145394ce061dbe0bf04aefc498"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uK89oU96bcciY6wu2hhomExOv26+tonXLnkauspukrjhtVQoQUhwOg7K+NTMZXyhvQWGflkup0cvMu3LnCcDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:34:23.792258Z","bundle_sha256":"cbff6015aa083f734338b741213e5f626a962ab0d642e514802888f8200ef006"}}