{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4QF7ZNHWNUZCHZ5L4EIXNZTRC4","short_pith_number":"pith:4QF7ZNHW","canonical_record":{"source":{"id":"1305.0144","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-01T11:12:47Z","cross_cats_sorted":["math.OC","q-fin.CP"],"title_canon_sha256":"74afe24b913f663b06135abcc6ec12a9d4af795926fc2b457185339904272580","abstract_canon_sha256":"5fdb605fda5e494d3f3edfc2eeffdd464da75bd4e1b8824a67980e241e62552e"},"schema_version":"1.0"},"canonical_sha256":"e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c","source":{"kind":"arxiv","id":"1305.0144","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0144","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0144v2","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0144","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"pith_short_12","alias_value":"4QF7ZNHWNUZC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4QF7ZNHWNUZCHZ5L","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4QF7ZNHW","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4QF7ZNHWNUZCHZ5L4EIXNZTRC4","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0144","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-01T11:12:47Z","cross_cats_sorted":["math.OC","q-fin.CP"],"title_canon_sha256":"74afe24b913f663b06135abcc6ec12a9d4af795926fc2b457185339904272580","abstract_canon_sha256":"5fdb605fda5e494d3f3edfc2eeffdd464da75bd4e1b8824a67980e241e62552e"},"schema_version":"1.0"},"canonical_sha256":"e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:58.062385Z","signature_b64":"7Yw/siSlfM4HQnSNCM+/iTaELsZEc6wB2LCOD1ETq5Ne0o/DLjtijZbRTeFO0NSFM9ZtaD8XQruTr7uU0sfPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c","last_reissued_at":"2026-05-18T03:25:58.061876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:58.061876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0144","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":"2026-05-18T03:25:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RF97tApP0bl+YVntf+zBaz6mMwUOpzPDt0WhbbA2vgNQLELjgF2MLITKvp7O/WuHV5xxF9uERZUm0feUUboSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:27:11.184458Z"},"content_sha256":"7b61e6480bb908ecc511aaeb6220c79c1b8ee173873b95328b351e84d9b03cc8","schema_version":"1.0","event_id":"sha256:7b61e6480bb908ecc511aaeb6220c79c1b8ee173873b95328b351e84d9b03cc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4QF7ZNHWNUZCHZ5L4EIXNZTRC4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relative Robust Portfolio Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","q-fin.CP"],"primary_cat":"q-fin.PM","authors_text":"Raphael Hauser, Reha T\\\"ut\\\"unc\\\"u, Vijay Krishnamurthy","submitted_at":"2013-05-01T11:12:47Z","abstract_excerpt":"Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems are NP-hard in general, we show that tractable inner and outer approximations exist in several cases that are of central interest in asset management."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0144","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":""},"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":"2026-05-18T03:25:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/iSaBYTRuw7liaFJTK1rI4XnKArhm/PXY0ubfPY/F8zaDmNHGa1Nu8DqbZ4YyQgOJXVcWA03nieGcMoWhZNeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:27:11.185097Z"},"content_sha256":"bdd7f46dc99bd2b88c14861dc99eee0817bec37740185b7a942fa0a9e590d5e6","schema_version":"1.0","event_id":"sha256:bdd7f46dc99bd2b88c14861dc99eee0817bec37740185b7a942fa0a9e590d5e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/bundle.json","state_url":"https://pith.science/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/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":"2026-06-21T11:27:11Z","links":{"resolver":"https://pith.science/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4","bundle":"https://pith.science/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/bundle.json","state":"https://pith.science/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4QF7ZNHWNUZCHZ5L4EIXNZTRC4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4QF7ZNHWNUZCHZ5L4EIXNZTRC4","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":"5fdb605fda5e494d3f3edfc2eeffdd464da75bd4e1b8824a67980e241e62552e","cross_cats_sorted":["math.OC","q-fin.CP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-01T11:12:47Z","title_canon_sha256":"74afe24b913f663b06135abcc6ec12a9d4af795926fc2b457185339904272580"},"schema_version":"1.0","source":{"id":"1305.0144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0144","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0144v2","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0144","created_at":"2026-05-18T03:25:58Z"},{"alias_kind":"pith_short_12","alias_value":"4QF7ZNHWNUZC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4QF7ZNHWNUZCHZ5L","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4QF7ZNHW","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:bdd7f46dc99bd2b88c14861dc99eee0817bec37740185b7a942fa0a9e590d5e6","target":"graph","created_at":"2026-05-18T03:25:58Z","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":"Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems are NP-hard in general, we show that tractable inner and outer approximations exist in several cases that are of central interest in asset management.","authors_text":"Raphael Hauser, Reha T\\\"ut\\\"unc\\\"u, Vijay Krishnamurthy","cross_cats":["math.OC","q-fin.CP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-01T11:12:47Z","title":"Relative Robust Portfolio Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0144","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":"sha256:7b61e6480bb908ecc511aaeb6220c79c1b8ee173873b95328b351e84d9b03cc8","target":"record","created_at":"2026-05-18T03:25:58Z","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":"5fdb605fda5e494d3f3edfc2eeffdd464da75bd4e1b8824a67980e241e62552e","cross_cats_sorted":["math.OC","q-fin.CP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.PM","submitted_at":"2013-05-01T11:12:47Z","title_canon_sha256":"74afe24b913f663b06135abcc6ec12a9d4af795926fc2b457185339904272580"},"schema_version":"1.0","source":{"id":"1305.0144","kind":"arxiv","version":2}},"canonical_sha256":"e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c","first_computed_at":"2026-05-18T03:25:58.061876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:58.061876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Yw/siSlfM4HQnSNCM+/iTaELsZEc6wB2LCOD1ETq5Ne0o/DLjtijZbRTeFO0NSFM9ZtaD8XQruTr7uU0sfPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:58.062385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b61e6480bb908ecc511aaeb6220c79c1b8ee173873b95328b351e84d9b03cc8","sha256:bdd7f46dc99bd2b88c14861dc99eee0817bec37740185b7a942fa0a9e590d5e6"],"state_sha256":"9c53ca76a4d675f6a419314f185eac81808edb5ad412c067a95c1a930660e5c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFGelufCCF6m65llO+VXQBwUvdegLiaWnq6BRlP7BwwIBiBC6SYTO9hN9E2h7vt+v2HpNwxwt1AXwUy3jy03Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:27:11.188121Z","bundle_sha256":"d2de95157eef22134d6781ce720d7ad038b59eb144c72229c344594613a2f351"}}