{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7YGBGPQEVOJLGK2UI3IGIJDBK4","short_pith_number":"pith:7YGBGPQE","canonical_record":{"source":{"id":"1702.00477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-02-01T22:14:15Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"4f9afbbe204e4850ac9b431851a69dfdc460f2bbb45d7e41464d5f0c617e3f08","abstract_canon_sha256":"e4f2b9f42cb4906da2d6f96eb0d5dbb62b745286fbe66c50bb500b19d500250f"},"schema_version":"1.0"},"canonical_sha256":"fe0c133e04ab92b32b5446d06424615718f3ad4bd0644137fc3cb50e8417cdc7","source":{"kind":"arxiv","id":"1702.00477","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00477","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00477v1","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00477","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"7YGBGPQEVOJL","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7YGBGPQEVOJLGK2U","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7YGBGPQE","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7YGBGPQEVOJLGK2UI3IGIJDBK4","target":"record","payload":{"canonical_record":{"source":{"id":"1702.00477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-02-01T22:14:15Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"4f9afbbe204e4850ac9b431851a69dfdc460f2bbb45d7e41464d5f0c617e3f08","abstract_canon_sha256":"e4f2b9f42cb4906da2d6f96eb0d5dbb62b745286fbe66c50bb500b19d500250f"},"schema_version":"1.0"},"canonical_sha256":"fe0c133e04ab92b32b5446d06424615718f3ad4bd0644137fc3cb50e8417cdc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:33.466080Z","signature_b64":"62riWM4nRUXLdox9ESkcwjjtTSG9gU/WXAtSDNAll0dZ5Ck51nDe8VOzvVj3v7fWVj08tL27xBdAq7bs7ewQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe0c133e04ab92b32b5446d06424615718f3ad4bd0644137fc3cb50e8417cdc7","last_reissued_at":"2026-05-18T00:51:33.465535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:33.465535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.00477","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":"2026-05-18T00:51:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mx5Sr32Yckqrl9jK9tGlB7WXZBhg2HdRX/Unxq6w6aCDNuMSz5LAz8FVDuCxF/F0UtWOl3YWel1SUQ6Lhy/GDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:08.072222Z"},"content_sha256":"26c01916fd39160b3c99e043de1033bf73dacd5cd19dbee225938c13a5003a4d","schema_version":"1.0","event_id":"sha256:26c01916fd39160b3c99e043de1033bf73dacd5cd19dbee225938c13a5003a4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7YGBGPQEVOJLGK2UI3IGIJDBK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dominance Move: A Measure of Comparing Solution Sets in Multiobjective Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.NE","authors_text":"Miqing Li, Xin Yao","submitted_at":"2017-02-01T22:14:15Z","abstract_excerpt":"One of the most common approaches for multiobjective optimization is to generate a solution set that well approximates the whole Pareto-optimal frontier to facilitate the later decision-making process. However, how to evaluate and compare the quality of different solution sets remains challenging. Existing measures typically require additional problem knowledge and information, such as a reference point or a substituted set of the Pareto-optimal frontier. In this paper, we propose a quality measure, called dominance move (DoM), to compare solution sets generated by multiobjective optimizers. G"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00477","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":"2026-05-18T00:51:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Fa+SqWpnh9jNv5LT+8RpbpGVukSSVLB4PS1w9u9JCoxKOIk/WWSm4rF5f6TuaH0ogsdWgY9NF65RgoVWleKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:08.072580Z"},"content_sha256":"a8cc6e5229e307afa6c066e772aa5d72ca3a309514b3468c1af9b93769d0ac4e","schema_version":"1.0","event_id":"sha256:a8cc6e5229e307afa6c066e772aa5d72ca3a309514b3468c1af9b93769d0ac4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/bundle.json","state_url":"https://pith.science/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/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":"2026-05-28T11:46:08Z","links":{"resolver":"https://pith.science/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4","bundle":"https://pith.science/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/bundle.json","state":"https://pith.science/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YGBGPQEVOJLGK2UI3IGIJDBK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7YGBGPQEVOJLGK2UI3IGIJDBK4","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":"e4f2b9f42cb4906da2d6f96eb0d5dbb62b745286fbe66c50bb500b19d500250f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-02-01T22:14:15Z","title_canon_sha256":"4f9afbbe204e4850ac9b431851a69dfdc460f2bbb45d7e41464d5f0c617e3f08"},"schema_version":"1.0","source":{"id":"1702.00477","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00477","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00477v1","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00477","created_at":"2026-05-18T00:51:33Z"},{"alias_kind":"pith_short_12","alias_value":"7YGBGPQEVOJL","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7YGBGPQEVOJLGK2U","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7YGBGPQE","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:a8cc6e5229e307afa6c066e772aa5d72ca3a309514b3468c1af9b93769d0ac4e","target":"graph","created_at":"2026-05-18T00:51:33Z","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":"One of the most common approaches for multiobjective optimization is to generate a solution set that well approximates the whole Pareto-optimal frontier to facilitate the later decision-making process. However, how to evaluate and compare the quality of different solution sets remains challenging. Existing measures typically require additional problem knowledge and information, such as a reference point or a substituted set of the Pareto-optimal frontier. In this paper, we propose a quality measure, called dominance move (DoM), to compare solution sets generated by multiobjective optimizers. G","authors_text":"Miqing Li, Xin Yao","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-02-01T22:14:15Z","title":"Dominance Move: A Measure of Comparing Solution Sets in Multiobjective Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00477","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":"sha256:26c01916fd39160b3c99e043de1033bf73dacd5cd19dbee225938c13a5003a4d","target":"record","created_at":"2026-05-18T00:51:33Z","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":"e4f2b9f42cb4906da2d6f96eb0d5dbb62b745286fbe66c50bb500b19d500250f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-02-01T22:14:15Z","title_canon_sha256":"4f9afbbe204e4850ac9b431851a69dfdc460f2bbb45d7e41464d5f0c617e3f08"},"schema_version":"1.0","source":{"id":"1702.00477","kind":"arxiv","version":1}},"canonical_sha256":"fe0c133e04ab92b32b5446d06424615718f3ad4bd0644137fc3cb50e8417cdc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe0c133e04ab92b32b5446d06424615718f3ad4bd0644137fc3cb50e8417cdc7","first_computed_at":"2026-05-18T00:51:33.465535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:33.465535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"62riWM4nRUXLdox9ESkcwjjtTSG9gU/WXAtSDNAll0dZ5Ck51nDe8VOzvVj3v7fWVj08tL27xBdAq7bs7ewQCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:33.466080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00477","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26c01916fd39160b3c99e043de1033bf73dacd5cd19dbee225938c13a5003a4d","sha256:a8cc6e5229e307afa6c066e772aa5d72ca3a309514b3468c1af9b93769d0ac4e"],"state_sha256":"50b3c164f4a0754207ef0d21e78b90952ce2e5a0cb6019dac45be80121bd01f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDVnJMMitatn8VwU0LgaG3PTUFthDHZL2Ywqi+5zJNgD4VQqLwX7wszNSNaky9oPu5RUpGFwLdvEcR7UiZJ5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:46:08.074586Z","bundle_sha256":"db3c27377265c5f7fc10c631323a7b32f220d0514e132cafb4950add3bcda47b"}}