{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7BESQIOW2GJYXNHYTG4AOQG3U2","short_pith_number":"pith:7BESQIOW","canonical_record":{"source":{"id":"1507.01540","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-06T17:00:16Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"17760ec2105ba768b6346f26a55197bb6a89d4f9b9f5410691f9d2ce363d048d","abstract_canon_sha256":"8676d50eafc1a60d63d330cc74f2e8f95106b44b254edc336316b99366edcee6"},"schema_version":"1.0"},"canonical_sha256":"f8492821d6d1938bb4f899b80740dba68c2c0b59b89029f30f88e07594efedb2","source":{"kind":"arxiv","id":"1507.01540","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01540","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01540v3","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01540","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"7BESQIOW2GJY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7BESQIOW2GJYXNHY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7BESQIOW","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7BESQIOW2GJYXNHYTG4AOQG3U2","target":"record","payload":{"canonical_record":{"source":{"id":"1507.01540","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-06T17:00:16Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"17760ec2105ba768b6346f26a55197bb6a89d4f9b9f5410691f9d2ce363d048d","abstract_canon_sha256":"8676d50eafc1a60d63d330cc74f2e8f95106b44b254edc336316b99366edcee6"},"schema_version":"1.0"},"canonical_sha256":"f8492821d6d1938bb4f899b80740dba68c2c0b59b89029f30f88e07594efedb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:10.445049Z","signature_b64":"xeTWVQNwCQI3AEOSLWwWOKscHtzqR+1AaAJVoCXmfJJBCJwhaFd8178JC/KbcaymqyWl1eWsb/Yf1eR48syECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8492821d6d1938bb4f899b80740dba68c2c0b59b89029f30f88e07594efedb2","last_reissued_at":"2026-05-18T01:10:10.444391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:10.444391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.01540","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tfruj5sC8QZmzBetzTcGx/44gX8uSAlGZZh6tj+CQAfptFpC4XR0XIa0txImNWkMmAU4YGXp8U9uZmNRsY9pDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:38:24.656257Z"},"content_sha256":"cf89bd100b11f3e0bea1c8c1b0985a6c355633020454393a339596bcfd8dbf00","schema_version":"1.0","event_id":"sha256:cf89bd100b11f3e0bea1c8c1b0985a6c355633020454393a339596bcfd8dbf00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7BESQIOW2GJYXNHYTG4AOQG3U2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uncertainty Marginal Price, Transmission Reserve, and Day-ahead Market Clearing with Robust Unit Commitment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Hongxing Ye, Mohammad Shahidehpour, Yinyin Ge, Zuyi Li","submitted_at":"2015-07-06T17:00:16Z","abstract_excerpt":"The increasing penetration of renewable energy in recent years has led to more uncertainties in power systems. These uncertainties have to be accommodated by flexible re- sources (i.e. upward and downward generation reserves). In this paper, a novel concept, Uncertainty Marginal Price (UMP), is proposed to price both the uncertainty and reserve. At the same time, the energy is priced at Locational Marginal Price (LMP). A novel market clearing mechanism is proposed to credit the gener- ation and reserve and to charge the load and uncertainty within the Robust Unit Commitment (RUC) in the Day-ah"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01540","kind":"arxiv","version":3},"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":"2026-05-18T01:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EyXDbXbXZuxSTX66ni/ExqmeDKI73NE6MtMkoy1hnaTEGX+aQpKePOg4vM9g/yQlb0o9IUaMKW3VtPiJT7H8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:38:24.657276Z"},"content_sha256":"316743d8bc7fd768c5d93bb2b569b31c6ca594dadbab260605c642510dbea393","schema_version":"1.0","event_id":"sha256:316743d8bc7fd768c5d93bb2b569b31c6ca594dadbab260605c642510dbea393"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/bundle.json","state_url":"https://pith.science/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/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":"2026-05-31T13:38:24Z","links":{"resolver":"https://pith.science/pith/7BESQIOW2GJYXNHYTG4AOQG3U2","bundle":"https://pith.science/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/bundle.json","state":"https://pith.science/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BESQIOW2GJYXNHYTG4AOQG3U2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7BESQIOW2GJYXNHYTG4AOQG3U2","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":"8676d50eafc1a60d63d330cc74f2e8f95106b44b254edc336316b99366edcee6","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-06T17:00:16Z","title_canon_sha256":"17760ec2105ba768b6346f26a55197bb6a89d4f9b9f5410691f9d2ce363d048d"},"schema_version":"1.0","source":{"id":"1507.01540","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01540","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01540v3","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01540","created_at":"2026-05-18T01:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"7BESQIOW2GJY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7BESQIOW2GJYXNHY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7BESQIOW","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:316743d8bc7fd768c5d93bb2b569b31c6ca594dadbab260605c642510dbea393","target":"graph","created_at":"2026-05-18T01:10:10Z","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":"The increasing penetration of renewable energy in recent years has led to more uncertainties in power systems. These uncertainties have to be accommodated by flexible re- sources (i.e. upward and downward generation reserves). In this paper, a novel concept, Uncertainty Marginal Price (UMP), is proposed to price both the uncertainty and reserve. At the same time, the energy is priced at Locational Marginal Price (LMP). A novel market clearing mechanism is proposed to credit the gener- ation and reserve and to charge the load and uncertainty within the Robust Unit Commitment (RUC) in the Day-ah","authors_text":"Hongxing Ye, Mohammad Shahidehpour, Yinyin Ge, Zuyi Li","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-06T17:00:16Z","title":"Uncertainty Marginal Price, Transmission Reserve, and Day-ahead Market Clearing with Robust Unit Commitment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01540","kind":"arxiv","version":3},"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:cf89bd100b11f3e0bea1c8c1b0985a6c355633020454393a339596bcfd8dbf00","target":"record","created_at":"2026-05-18T01:10:10Z","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":"8676d50eafc1a60d63d330cc74f2e8f95106b44b254edc336316b99366edcee6","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-07-06T17:00:16Z","title_canon_sha256":"17760ec2105ba768b6346f26a55197bb6a89d4f9b9f5410691f9d2ce363d048d"},"schema_version":"1.0","source":{"id":"1507.01540","kind":"arxiv","version":3}},"canonical_sha256":"f8492821d6d1938bb4f899b80740dba68c2c0b59b89029f30f88e07594efedb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8492821d6d1938bb4f899b80740dba68c2c0b59b89029f30f88e07594efedb2","first_computed_at":"2026-05-18T01:10:10.444391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:10.444391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xeTWVQNwCQI3AEOSLWwWOKscHtzqR+1AaAJVoCXmfJJBCJwhaFd8178JC/KbcaymqyWl1eWsb/Yf1eR48syECw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:10.445049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.01540","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf89bd100b11f3e0bea1c8c1b0985a6c355633020454393a339596bcfd8dbf00","sha256:316743d8bc7fd768c5d93bb2b569b31c6ca594dadbab260605c642510dbea393"],"state_sha256":"927b53d3a8f64a2e167ec36b86134bd0ad20f75072daec72d3f39c24f59e2e55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFuvaF97oEhilJMgBLXtwoNA9Pc1qtlVJTmdT+dx55SXpnc3AmTE0+hgD7H6rKUZ6xWDRnY1EN4X18gVsYzxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T13:38:24.662591Z","bundle_sha256":"a6626d4af4044e121f01e100d9693de2b2b043b55280b74833a74654a60b648a"}}