{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AYABT3BCAD6AUYILYOU2UAS6PU","short_pith_number":"pith:AYABT3BC","canonical_record":{"source":{"id":"1903.10621","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-25T22:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"f7a8ba90fa41e61393497ba6f0abb0c276a49c3f121846fa017a02ceafbc7d98","abstract_canon_sha256":"265b0c08bd0728a5507fe859d014808bf66add5076361d959d6a23196d327740"},"schema_version":"1.0"},"canonical_sha256":"060019ec2200fc0a610bc3a9aa025e7d2003eb89ea1f0f97eb5e1e0b4d160f17","source":{"kind":"arxiv","id":"1903.10621","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10621","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10621v2","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10621","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"pith_short_12","alias_value":"AYABT3BCAD6A","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AYABT3BCAD6AUYIL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AYABT3BC","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AYABT3BCAD6AUYILYOU2UAS6PU","target":"record","payload":{"canonical_record":{"source":{"id":"1903.10621","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-25T22:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"f7a8ba90fa41e61393497ba6f0abb0c276a49c3f121846fa017a02ceafbc7d98","abstract_canon_sha256":"265b0c08bd0728a5507fe859d014808bf66add5076361d959d6a23196d327740"},"schema_version":"1.0"},"canonical_sha256":"060019ec2200fc0a610bc3a9aa025e7d2003eb89ea1f0f97eb5e1e0b4d160f17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:41.584388Z","signature_b64":"9g9+q/g4kWWsrvfv+Z4qjxypq/GypOPyD2I7KctEvkfjKQ+srq2tlZpDimeqmy2M6yRb+kQkB6hZDtjl/bgOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"060019ec2200fc0a610bc3a9aa025e7d2003eb89ea1f0f97eb5e1e0b4d160f17","last_reissued_at":"2026-05-17T23:48:41.583922Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:41.583922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.10621","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":"2026-05-17T23:48:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wksLyfRH9i7yz0g8rx999oQPWGUnQrhFX6xmK+xhPFDwAb7UVpeldlvlDSodv8j/fUkZqr2FFytrhckWgcowDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:44:26.607928Z"},"content_sha256":"99354751873b06728884fdee7aa91d877c109c5bbb489fa4339fce93a5a92f72","schema_version":"1.0","event_id":"sha256:99354751873b06728884fdee7aa91d877c109c5bbb489fa4339fce93a5a92f72"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AYABT3BCAD6AUYILYOU2UAS6PU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-driven Decision Making with Probabilistic Guarantees (Part 1): A Schematic Overview of Chance-constrained Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Le Xie, Xinbo Geng","submitted_at":"2019-03-25T22:32:13Z","abstract_excerpt":"Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments, this paper focuses on chance-constrained optimization, which provides explicit probabilistic guarantees on the feasibility of optimal solutions. Although quite a few methods have been proposed to solve chance-constrained optimization problems, there is a lack of comprehensive review and comparative analysis of the proposed methods. Part I of this two-part pape"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10621","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":"2026-05-17T23:48:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFW8IB3rVMMQZauWqmjI2JEoErCq9Ciog66DYhXYwzjtts7TNotRJLI4TS9zNJXeljzo+4pPS/u/iEy7BMsGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:44:26.608280Z"},"content_sha256":"89db381b16bae6b1c8f41aab146a221b3c9cc2c88e35e58789e586f51e89e7fd","schema_version":"1.0","event_id":"sha256:89db381b16bae6b1c8f41aab146a221b3c9cc2c88e35e58789e586f51e89e7fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYABT3BCAD6AUYILYOU2UAS6PU/bundle.json","state_url":"https://pith.science/pith/AYABT3BCAD6AUYILYOU2UAS6PU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYABT3BCAD6AUYILYOU2UAS6PU/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":"2026-06-04T17:44:26Z","links":{"resolver":"https://pith.science/pith/AYABT3BCAD6AUYILYOU2UAS6PU","bundle":"https://pith.science/pith/AYABT3BCAD6AUYILYOU2UAS6PU/bundle.json","state":"https://pith.science/pith/AYABT3BCAD6AUYILYOU2UAS6PU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYABT3BCAD6AUYILYOU2UAS6PU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AYABT3BCAD6AUYILYOU2UAS6PU","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":"265b0c08bd0728a5507fe859d014808bf66add5076361d959d6a23196d327740","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-25T22:32:13Z","title_canon_sha256":"f7a8ba90fa41e61393497ba6f0abb0c276a49c3f121846fa017a02ceafbc7d98"},"schema_version":"1.0","source":{"id":"1903.10621","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.10621","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.10621v2","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10621","created_at":"2026-05-17T23:48:41Z"},{"alias_kind":"pith_short_12","alias_value":"AYABT3BCAD6A","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AYABT3BCAD6AUYIL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AYABT3BC","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:89db381b16bae6b1c8f41aab146a221b3c9cc2c88e35e58789e586f51e89e7fd","target":"graph","created_at":"2026-05-17T23:48:41Z","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":"Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments, this paper focuses on chance-constrained optimization, which provides explicit probabilistic guarantees on the feasibility of optimal solutions. Although quite a few methods have been proposed to solve chance-constrained optimization problems, there is a lack of comprehensive review and comparative analysis of the proposed methods. Part I of this two-part pape","authors_text":"Le Xie, Xinbo Geng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-25T22:32:13Z","title":"Data-driven Decision Making with Probabilistic Guarantees (Part 1): A Schematic Overview of Chance-constrained Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10621","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":"sha256:99354751873b06728884fdee7aa91d877c109c5bbb489fa4339fce93a5a92f72","target":"record","created_at":"2026-05-17T23:48:41Z","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":"265b0c08bd0728a5507fe859d014808bf66add5076361d959d6a23196d327740","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-25T22:32:13Z","title_canon_sha256":"f7a8ba90fa41e61393497ba6f0abb0c276a49c3f121846fa017a02ceafbc7d98"},"schema_version":"1.0","source":{"id":"1903.10621","kind":"arxiv","version":2}},"canonical_sha256":"060019ec2200fc0a610bc3a9aa025e7d2003eb89ea1f0f97eb5e1e0b4d160f17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"060019ec2200fc0a610bc3a9aa025e7d2003eb89ea1f0f97eb5e1e0b4d160f17","first_computed_at":"2026-05-17T23:48:41.583922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:41.583922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9g9+q/g4kWWsrvfv+Z4qjxypq/GypOPyD2I7KctEvkfjKQ+srq2tlZpDimeqmy2M6yRb+kQkB6hZDtjl/bgOBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:41.584388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.10621","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99354751873b06728884fdee7aa91d877c109c5bbb489fa4339fce93a5a92f72","sha256:89db381b16bae6b1c8f41aab146a221b3c9cc2c88e35e58789e586f51e89e7fd"],"state_sha256":"6b5bbba9f48c1dfb1380ed70805ca86abb72a500f8bc8ad75a8c0dda5bc90b28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9pZXuiPQRr6P284zOeMPkvA8IXIA3ddle3+OPNjUGb3UXbOXwXcFzYjnocYbbsOOolkumiqxFNGWx/XhS7H6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:44:26.610372Z","bundle_sha256":"4193c607fa382bdb7ad6ce7b38c4bd99c420dbab76dc7f22d48c1e4976e7130d"}}