{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NAVO6R4BMPZ4SBQMVAFHWDAUIP","short_pith_number":"pith:NAVO6R4B","canonical_record":{"source":{"id":"2201.00387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-01-02T18:04:52Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"b46540059e1f2d3d230fb7b1b1757dad8d2ca6876f91a11ffc3ce69ae957c8dc","abstract_canon_sha256":"fd3138e2c1c6f378273d2655abce1c7013fd2ff1f93d3165c25dd8e6631d1987"},"schema_version":"1.0"},"canonical_sha256":"682aef478163f3c9060ca80a7b0c1443eced64f3f370024eabde6b49ced99860","source":{"kind":"arxiv","id":"2201.00387","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.00387","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"2201.00387v2","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.00387","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"NAVO6R4BMPZ4","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"NAVO6R4BMPZ4SBQM","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"NAVO6R4B","created_at":"2026-07-05T05:19:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NAVO6R4BMPZ4SBQMVAFHWDAUIP","target":"record","payload":{"canonical_record":{"source":{"id":"2201.00387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-01-02T18:04:52Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"b46540059e1f2d3d230fb7b1b1757dad8d2ca6876f91a11ffc3ce69ae957c8dc","abstract_canon_sha256":"fd3138e2c1c6f378273d2655abce1c7013fd2ff1f93d3165c25dd8e6631d1987"},"schema_version":"1.0"},"canonical_sha256":"682aef478163f3c9060ca80a7b0c1443eced64f3f370024eabde6b49ced99860","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:19:51.663881Z","signature_b64":"CsF98XGMZxtICq+0ihDm/tGObsBaZWvcye5s59P0n10SDMDf1FxKSJF4S7exOtZ2LOkGKpD7EQc8pFNkCXtuDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"682aef478163f3c9060ca80a7b0c1443eced64f3f370024eabde6b49ced99860","last_reissued_at":"2026-07-05T05:19:51.663464Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:19:51.663464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.00387","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MNZd04YLCs3tRXtllDUsWlL19tY1hinQQv6+s6/dldRtQAIKF9GqQ9ZVDzd3SNKP3eQuANBqsvmp2euIjMDTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T01:08:38.707198Z"},"content_sha256":"791941350f2c24b65fd2845b643fd2445bdc6a695b3480eb06fce7f4b2b9069f","schema_version":"1.0","event_id":"sha256:791941350f2c24b65fd2845b643fd2445bdc6a695b3480eb06fce7f4b2b9069f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NAVO6R4BMPZ4SBQMVAFHWDAUIP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the convex hull of convex quadratic optimization problems with indicators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Alper Atamt\\\"urk, Andr\\'es G\\'omez, Linchuan Wei, Simge K\\\"u\\c{c}\\\"ukyavuz","submitted_at":"2022-01-02T18:04:52Z","abstract_excerpt":"We consider the convex quadratic optimization problem with indicator variables and arbitrary constraints on the indicators. We show that a convex hull description of the associated mixed-integer set in an extended space with a quadratic number of additional variables consists of a single positive semidefinite constraint (explicitly stated) and linear constraints. In particular, convexification of this class of problems reduces to describing a polyhedral set in an extended formulation. While the vertex representation of this polyhedral set is exponential and an explicit linear inequality descri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.00387","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.00387/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDfWNnFNtL1UlJNjOEpJF6dbeilmBPAPhHpHvYqQYSbeLywN+LTgIeBQzgCVzDTYf0Vqq3xAhZiEsziaTjJXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T01:08:38.707765Z"},"content_sha256":"b42423d8c570cfdaabcdc6ed82acd068c80d35f230b0b118204509f4e9aed80f","schema_version":"1.0","event_id":"sha256:b42423d8c570cfdaabcdc6ed82acd068c80d35f230b0b118204509f4e9aed80f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/bundle.json","state_url":"https://pith.science/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/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":"2026-08-24T01:08:38Z","links":{"resolver":"https://pith.science/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP","bundle":"https://pith.science/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/bundle.json","state":"https://pith.science/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAVO6R4BMPZ4SBQMVAFHWDAUIP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NAVO6R4BMPZ4SBQMVAFHWDAUIP","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":"fd3138e2c1c6f378273d2655abce1c7013fd2ff1f93d3165c25dd8e6631d1987","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-01-02T18:04:52Z","title_canon_sha256":"b46540059e1f2d3d230fb7b1b1757dad8d2ca6876f91a11ffc3ce69ae957c8dc"},"schema_version":"1.0","source":{"id":"2201.00387","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.00387","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"2201.00387v2","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.00387","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"NAVO6R4BMPZ4","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"NAVO6R4BMPZ4SBQM","created_at":"2026-07-05T05:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"NAVO6R4B","created_at":"2026-07-05T05:19:51Z"}],"graph_snapshots":[{"event_id":"sha256:b42423d8c570cfdaabcdc6ed82acd068c80d35f230b0b118204509f4e9aed80f","target":"graph","created_at":"2026-07-05T05:19:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2201.00387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the convex quadratic optimization problem with indicator variables and arbitrary constraints on the indicators. We show that a convex hull description of the associated mixed-integer set in an extended space with a quadratic number of additional variables consists of a single positive semidefinite constraint (explicitly stated) and linear constraints. In particular, convexification of this class of problems reduces to describing a polyhedral set in an extended formulation. While the vertex representation of this polyhedral set is exponential and an explicit linear inequality descri","authors_text":"Alper Atamt\\\"urk, Andr\\'es G\\'omez, Linchuan Wei, Simge K\\\"u\\c{c}\\\"ukyavuz","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-01-02T18:04:52Z","title":"On the convex hull of convex quadratic optimization problems with indicators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.00387","kind":"arxiv","version":2},"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":"sha256:791941350f2c24b65fd2845b643fd2445bdc6a695b3480eb06fce7f4b2b9069f","target":"record","created_at":"2026-07-05T05:19:51Z","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":"fd3138e2c1c6f378273d2655abce1c7013fd2ff1f93d3165c25dd8e6631d1987","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-01-02T18:04:52Z","title_canon_sha256":"b46540059e1f2d3d230fb7b1b1757dad8d2ca6876f91a11ffc3ce69ae957c8dc"},"schema_version":"1.0","source":{"id":"2201.00387","kind":"arxiv","version":2}},"canonical_sha256":"682aef478163f3c9060ca80a7b0c1443eced64f3f370024eabde6b49ced99860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"682aef478163f3c9060ca80a7b0c1443eced64f3f370024eabde6b49ced99860","first_computed_at":"2026-07-05T05:19:51.663464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:19:51.663464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CsF98XGMZxtICq+0ihDm/tGObsBaZWvcye5s59P0n10SDMDf1FxKSJF4S7exOtZ2LOkGKpD7EQc8pFNkCXtuDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:19:51.663881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.00387","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:791941350f2c24b65fd2845b643fd2445bdc6a695b3480eb06fce7f4b2b9069f","sha256:b42423d8c570cfdaabcdc6ed82acd068c80d35f230b0b118204509f4e9aed80f"],"state_sha256":"6571dd2111a97ead4d4bc11131e47efc74062e03bce4c69a3a597da8736555f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvG4ipZ0R1EwqzydJvciTAUh8DUzDpNkKIqOvGF0RNF4t9Vno9zR8C546zAKFQuxW3VawWXZL1gAmu6lOnHUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T01:08:38.711641Z","bundle_sha256":"014201c960a9737e40d482a9b69fe3d7a8950db7fb0e4d76ff2d5654d3fa5013"}}