{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NHNP7E35BSF3TCKXV6T7IAN63B","short_pith_number":"pith:NHNP7E35","canonical_record":{"source":{"id":"1702.04937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-16T12:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"7ff259cbbbee990583799ce20f0dac8bc2956bd96a714724af557c7e0ba1c666","abstract_canon_sha256":"39664c59797ef8f18239ec3049aac08076037648375eba9bf61b26b320834d1f"},"schema_version":"1.0"},"canonical_sha256":"69daff937d0c8bb98957afa7f401bed87b90b428715d1ba2f9ea1469107f774c","source":{"kind":"arxiv","id":"1702.04937","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04937","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04937v1","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04937","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"NHNP7E35BSF3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NHNP7E35BSF3TCKX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NHNP7E35","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NHNP7E35BSF3TCKXV6T7IAN63B","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-16T12:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"7ff259cbbbee990583799ce20f0dac8bc2956bd96a714724af557c7e0ba1c666","abstract_canon_sha256":"39664c59797ef8f18239ec3049aac08076037648375eba9bf61b26b320834d1f"},"schema_version":"1.0"},"canonical_sha256":"69daff937d0c8bb98957afa7f401bed87b90b428715d1ba2f9ea1469107f774c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:36.730487Z","signature_b64":"QU2TonkSC7Ln+wve1aPA4DB+Oq7ab1k/LuTndsF+Ieck/EZvAwNlQAkrglG3XsrhYO2vbCAZckxELYHbt0ijCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69daff937d0c8bb98957afa7f401bed87b90b428715d1ba2f9ea1469107f774c","last_reissued_at":"2026-05-18T00:50:36.729757Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:36.729757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04937","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":"2026-05-18T00:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Ua4QKGVphYkHOb0+63Mkg6M3Lhu9OoXBXMr8Hk629Vu2/Y+wCw+6O4TKwsaj22UpkMqq9PyKlcwbW+nKE6wAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:44:30.630073Z"},"content_sha256":"906357272e2f5a515f1fab9cea60c6cceb660ce3de5d263dade535e74a53e213","schema_version":"1.0","event_id":"sha256:906357272e2f5a515f1fab9cea60c6cceb660ce3de5d263dade535e74a53e213"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NHNP7E35BSF3TCKXV6T7IAN63B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Mixed Integer Linear Programming Method for Dynamic Economic Dispatch with Valve Point Effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jinbao Jian, LinFeng Yang, Shanshan Pan","submitted_at":"2017-02-16T12:04:49Z","abstract_excerpt":"In this paper, a mixed integer linear programming (MILP) formulation is proposed to solve the dynamic economic dispatch with valve-point effect (DED-VPE). Based on piecewise linearization technique, the non-convex and non-smooth generation cost is reformulated into a linear lower approximation which is better than the quadratic one, yielding an MILP formulation for the DED-VPE. When the segment parameter is set appropriately, the MILP formulation can be solved by a mixed integer programming (MIP) solver directly and efficiently. Thus, a global optimal solution within a preset tolerance can be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04937","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":"2026-05-18T00:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VcVKw5E/0g73jtSuPtbaicexX95LzkUxQgn8GX7td7DgI+kVoGpGN7ACFt/Ez/JKCe9ouzI8KAG/UY2Rhbx8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:44:30.630418Z"},"content_sha256":"ab54e3d9598001a33ee8e9cb87e728d0509a69911285d31283c24b1be62ca81c","schema_version":"1.0","event_id":"sha256:ab54e3d9598001a33ee8e9cb87e728d0509a69911285d31283c24b1be62ca81c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NHNP7E35BSF3TCKXV6T7IAN63B/bundle.json","state_url":"https://pith.science/pith/NHNP7E35BSF3TCKXV6T7IAN63B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NHNP7E35BSF3TCKXV6T7IAN63B/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":"2026-06-27T05:44:30Z","links":{"resolver":"https://pith.science/pith/NHNP7E35BSF3TCKXV6T7IAN63B","bundle":"https://pith.science/pith/NHNP7E35BSF3TCKXV6T7IAN63B/bundle.json","state":"https://pith.science/pith/NHNP7E35BSF3TCKXV6T7IAN63B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NHNP7E35BSF3TCKXV6T7IAN63B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NHNP7E35BSF3TCKXV6T7IAN63B","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":"39664c59797ef8f18239ec3049aac08076037648375eba9bf61b26b320834d1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-16T12:04:49Z","title_canon_sha256":"7ff259cbbbee990583799ce20f0dac8bc2956bd96a714724af557c7e0ba1c666"},"schema_version":"1.0","source":{"id":"1702.04937","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04937","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04937v1","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04937","created_at":"2026-05-18T00:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"NHNP7E35BSF3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NHNP7E35BSF3TCKX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NHNP7E35","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:ab54e3d9598001a33ee8e9cb87e728d0509a69911285d31283c24b1be62ca81c","target":"graph","created_at":"2026-05-18T00:50:36Z","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":"In this paper, a mixed integer linear programming (MILP) formulation is proposed to solve the dynamic economic dispatch with valve-point effect (DED-VPE). Based on piecewise linearization technique, the non-convex and non-smooth generation cost is reformulated into a linear lower approximation which is better than the quadratic one, yielding an MILP formulation for the DED-VPE. When the segment parameter is set appropriately, the MILP formulation can be solved by a mixed integer programming (MIP) solver directly and efficiently. Thus, a global optimal solution within a preset tolerance can be ","authors_text":"Jinbao Jian, LinFeng Yang, Shanshan Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-16T12:04:49Z","title":"A Mixed Integer Linear Programming Method for Dynamic Economic Dispatch with Valve Point Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04937","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":"sha256:906357272e2f5a515f1fab9cea60c6cceb660ce3de5d263dade535e74a53e213","target":"record","created_at":"2026-05-18T00:50:36Z","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":"39664c59797ef8f18239ec3049aac08076037648375eba9bf61b26b320834d1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-02-16T12:04:49Z","title_canon_sha256":"7ff259cbbbee990583799ce20f0dac8bc2956bd96a714724af557c7e0ba1c666"},"schema_version":"1.0","source":{"id":"1702.04937","kind":"arxiv","version":1}},"canonical_sha256":"69daff937d0c8bb98957afa7f401bed87b90b428715d1ba2f9ea1469107f774c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69daff937d0c8bb98957afa7f401bed87b90b428715d1ba2f9ea1469107f774c","first_computed_at":"2026-05-18T00:50:36.729757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:36.729757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QU2TonkSC7Ln+wve1aPA4DB+Oq7ab1k/LuTndsF+Ieck/EZvAwNlQAkrglG3XsrhYO2vbCAZckxELYHbt0ijCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:36.730487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04937","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:906357272e2f5a515f1fab9cea60c6cceb660ce3de5d263dade535e74a53e213","sha256:ab54e3d9598001a33ee8e9cb87e728d0509a69911285d31283c24b1be62ca81c"],"state_sha256":"71706dc4cc787cd56df05f1d6aac22a7bc9011000127685a86847930b23b34fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mf9jE4LBgoLK/6XypP2cI64WlSZiOl0K9gV+6jbT20U0tvdfQGwgR87YHiaX4BPCQMC4izHJYKUsG77r8QIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T05:44:30.632163Z","bundle_sha256":"914b629aefffe756863f85e7066ab6f0874d0a9aa1f088562e3345a6f81a1032"}}