{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ES2N3B6NGOQTCDLBRCJGUY54AG","short_pith_number":"pith:ES2N3B6N","canonical_record":{"source":{"id":"2507.05501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-07T21:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"d73b0422c007ec22e35902499d10ed4d30fd6442990d1e3a87a2c504150d85f0","abstract_canon_sha256":"c0bd0aae8bfa3c30b4d655552811232268037ae919490421c023120c0c2defc7"},"schema_version":"1.0"},"canonical_sha256":"24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614","source":{"kind":"arxiv","id":"2507.05501","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05501","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05501v2","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05501","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_12","alias_value":"ES2N3B6NGOQT","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_16","alias_value":"ES2N3B6NGOQTCDLB","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_8","alias_value":"ES2N3B6N","created_at":"2026-05-26T02:03:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ES2N3B6NGOQTCDLBRCJGUY54AG","target":"record","payload":{"canonical_record":{"source":{"id":"2507.05501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-07T21:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"d73b0422c007ec22e35902499d10ed4d30fd6442990d1e3a87a2c504150d85f0","abstract_canon_sha256":"c0bd0aae8bfa3c30b4d655552811232268037ae919490421c023120c0c2defc7"},"schema_version":"1.0"},"canonical_sha256":"24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:52.450773Z","signature_b64":"LoAZYbrSUHNNKG1+inagySL/UnPRoAx44UayY9hZ/FpfJoXpVfhRisdUsXWG03WVPn9ylSSyQwQDlX9xZZyXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614","last_reissued_at":"2026-05-26T02:03:52.449931Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:52.449931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.05501","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":"2026-05-26T02:03:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rdUoKRFjo0y9TtI2eCBDLyb543w7ClRa5q+VUTL0JGqFZYa8k5J8m0G3huQ4HFmGoOov7WmvLoweIpuqappqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:37:01.610814Z"},"content_sha256":"b3c09907bde3e7739db4d30ae8142350408895ce118661f1e5465909efe59001","schema_version":"1.0","event_id":"sha256:b3c09907bde3e7739db4d30ae8142350408895ce118661f1e5465909efe59001"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ES2N3B6NGOQTCDLBRCJGUY54AG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MultiObjectiveAlgorithms.jl: a Julia package for solving multi-objective optimization problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"G\\\"okhan Kof, Oscar Dowson, Xavier Gandibleux","submitted_at":"2025-07-07T21:53:13Z","abstract_excerpt":"We present MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an iterative scalarization of the problem from a multi-objective optimization problem to a sequence of single-objective subproblems. As part of this work, we extended JuMP to support vector-valued objective functions. Because it is based on JuMP, MultiObjectiveAlgorithms.jl can use a wide variety of commercial and open-source solvers to solve the single-objectiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05501","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/2507.05501/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":"2026-05-26T02:03:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvF2zngMtFrvgrMFSWIwvEzHa2VQDHSMIjMlEgDcDRq7bShmKcIfRFGEDERlXGVCbgrbQ+maKvZWKHb8rLLpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:37:01.611185Z"},"content_sha256":"c27f05351f6902a2fcfc49a17360e884924c8a855e11526796627aeb7742d2a5","schema_version":"1.0","event_id":"sha256:c27f05351f6902a2fcfc49a17360e884924c8a855e11526796627aeb7742d2a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/bundle.json","state_url":"https://pith.science/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/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":"2026-06-03T22:37:01Z","links":{"resolver":"https://pith.science/pith/ES2N3B6NGOQTCDLBRCJGUY54AG","bundle":"https://pith.science/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/bundle.json","state":"https://pith.science/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ES2N3B6NGOQTCDLBRCJGUY54AG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ES2N3B6NGOQTCDLBRCJGUY54AG","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":"c0bd0aae8bfa3c30b4d655552811232268037ae919490421c023120c0c2defc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-07T21:53:13Z","title_canon_sha256":"d73b0422c007ec22e35902499d10ed4d30fd6442990d1e3a87a2c504150d85f0"},"schema_version":"1.0","source":{"id":"2507.05501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05501","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05501v2","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05501","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_12","alias_value":"ES2N3B6NGOQT","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_16","alias_value":"ES2N3B6NGOQTCDLB","created_at":"2026-05-26T02:03:52Z"},{"alias_kind":"pith_short_8","alias_value":"ES2N3B6N","created_at":"2026-05-26T02:03:52Z"}],"graph_snapshots":[{"event_id":"sha256:c27f05351f6902a2fcfc49a17360e884924c8a855e11526796627aeb7742d2a5","target":"graph","created_at":"2026-05-26T02:03:52Z","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/2507.05501/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an iterative scalarization of the problem from a multi-objective optimization problem to a sequence of single-objective subproblems. As part of this work, we extended JuMP to support vector-valued objective functions. Because it is based on JuMP, MultiObjectiveAlgorithms.jl can use a wide variety of commercial and open-source solvers to solve the single-objectiv","authors_text":"G\\\"okhan Kof, Oscar Dowson, Xavier Gandibleux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-07T21:53:13Z","title":"MultiObjectiveAlgorithms.jl: a Julia package for solving multi-objective optimization problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05501","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:b3c09907bde3e7739db4d30ae8142350408895ce118661f1e5465909efe59001","target":"record","created_at":"2026-05-26T02:03:52Z","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":"c0bd0aae8bfa3c30b4d655552811232268037ae919490421c023120c0c2defc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-07-07T21:53:13Z","title_canon_sha256":"d73b0422c007ec22e35902499d10ed4d30fd6442990d1e3a87a2c504150d85f0"},"schema_version":"1.0","source":{"id":"2507.05501","kind":"arxiv","version":2}},"canonical_sha256":"24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24b4dd87cd33a1310d6188926a63bc01a0affc366a43f321f4913b6c82f94614","first_computed_at":"2026-05-26T02:03:52.449931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:52.449931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LoAZYbrSUHNNKG1+inagySL/UnPRoAx44UayY9hZ/FpfJoXpVfhRisdUsXWG03WVPn9ylSSyQwQDlX9xZZyXBg==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:52.450773Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.05501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3c09907bde3e7739db4d30ae8142350408895ce118661f1e5465909efe59001","sha256:c27f05351f6902a2fcfc49a17360e884924c8a855e11526796627aeb7742d2a5"],"state_sha256":"5990c6e839cae1427f4a28cfe9df59dff731bfc9e73bcc90c2e0d22d789be670"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KevN2HCk6cRQWLg/7VWx5ijGeXHl4KgaRDXL6gci5WUEO4om+V8eGMsoHZU9gVOBjRFektCYH6s14J1OUqkgAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:37:01.613079Z","bundle_sha256":"acaec38af2b845aa1322fd33113551e53e00b975017db37f360dc0bc51fac0a9"}}