{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OVUPHB35B33MKYHKI5MZ7QE3YQ","short_pith_number":"pith:OVUPHB35","canonical_record":{"source":{"id":"1708.07337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-24T09:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"e2bc1e8845b02172a2f7a5169d78430e08df903f87c2dc5e2348a786911d5279","abstract_canon_sha256":"5672235bc6b08f813ee805863274d054ee6521252b41f7e66151f39e591210d3"},"schema_version":"1.0"},"canonical_sha256":"7568f3877d0ef6c560ea47599fc09bc415fc760c530a6fb703754d78ce7146d9","source":{"kind":"arxiv","id":"1708.07337","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07337","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07337v1","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07337","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"OVUPHB35B33M","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OVUPHB35B33MKYHK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OVUPHB35","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OVUPHB35B33MKYHKI5MZ7QE3YQ","target":"record","payload":{"canonical_record":{"source":{"id":"1708.07337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-24T09:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"e2bc1e8845b02172a2f7a5169d78430e08df903f87c2dc5e2348a786911d5279","abstract_canon_sha256":"5672235bc6b08f813ee805863274d054ee6521252b41f7e66151f39e591210d3"},"schema_version":"1.0"},"canonical_sha256":"7568f3877d0ef6c560ea47599fc09bc415fc760c530a6fb703754d78ce7146d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:46.512235Z","signature_b64":"y/zGIFR7wIv5suOrxbuKL094Lu7XDeQ0LGYP+CswnvZTrg90a6EoUgR2lCQN6e4jAlzISYiP8uG2vTC+ALd4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7568f3877d0ef6c560ea47599fc09bc415fc760c530a6fb703754d78ce7146d9","last_reissued_at":"2026-05-18T00:36:46.511549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:46.511549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.07337","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":"2026-05-18T00:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YENI3VuIhfPQD4dM7KRFocIk7+dVPiloeUggbvu5PlLFMnmt00LAFfxiDSKwZQouL6Z4q00cCPA4yAQZWJPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:43:49.498270Z"},"content_sha256":"8e0e0486bc2e7725a183685caea6cb5a5f09a5171288ca708faec3a4107c18d4","schema_version":"1.0","event_id":"sha256:8e0e0486bc2e7725a183685caea6cb5a5f09a5171288ca708faec3a4107c18d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OVUPHB35B33MKYHKI5MZ7QE3YQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Chance Constrained Information-Gap Decision Model for Multi-Period Microgrid Planning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Bo Zeng, Jianxue Wang, Xiaoyu Cao","submitted_at":"2017-08-24T09:47:25Z","abstract_excerpt":"This paper presents a chance constrained information gap decision model for multi-period microgrid expansion planning (MMEP) considering two categories of uncertainties, namely random and non-random uncertainties. The main task of MMEP is to determine the optimal sizing, type selection, and installation time of distributed energy resources (DER) in microgrid. In the proposed formulation, information gap decision theory (IGDT) is applied to hedge against non-random uncertainties of long-term demand growth. Then, chance constraints are imposed in the operational stage to address the random uncer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07337","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":"2026-05-18T00:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DTi9Y4ftUNSGXxu9ZlI3DWRkQ+kj62PjrJQc1YKfBqemPHMqPSuDfSHmzSAfb/key+pEpDKICpsMA2lQNtYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:43:49.498635Z"},"content_sha256":"d90b597a6f54dda4d6d5a1cfe9f50318507a4d35944e324898b1ca592a52fe98","schema_version":"1.0","event_id":"sha256:d90b597a6f54dda4d6d5a1cfe9f50318507a4d35944e324898b1ca592a52fe98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/bundle.json","state_url":"https://pith.science/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/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":"2026-06-01T02:43:49Z","links":{"resolver":"https://pith.science/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ","bundle":"https://pith.science/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/bundle.json","state":"https://pith.science/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVUPHB35B33MKYHKI5MZ7QE3YQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OVUPHB35B33MKYHKI5MZ7QE3YQ","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":"5672235bc6b08f813ee805863274d054ee6521252b41f7e66151f39e591210d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-24T09:47:25Z","title_canon_sha256":"e2bc1e8845b02172a2f7a5169d78430e08df903f87c2dc5e2348a786911d5279"},"schema_version":"1.0","source":{"id":"1708.07337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07337","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07337v1","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07337","created_at":"2026-05-18T00:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"OVUPHB35B33M","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OVUPHB35B33MKYHK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OVUPHB35","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:d90b597a6f54dda4d6d5a1cfe9f50318507a4d35944e324898b1ca592a52fe98","target":"graph","created_at":"2026-05-18T00:36:46Z","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":"This paper presents a chance constrained information gap decision model for multi-period microgrid expansion planning (MMEP) considering two categories of uncertainties, namely random and non-random uncertainties. The main task of MMEP is to determine the optimal sizing, type selection, and installation time of distributed energy resources (DER) in microgrid. In the proposed formulation, information gap decision theory (IGDT) is applied to hedge against non-random uncertainties of long-term demand growth. Then, chance constraints are imposed in the operational stage to address the random uncer","authors_text":"Bo Zeng, Jianxue Wang, Xiaoyu Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-24T09:47:25Z","title":"A Chance Constrained Information-Gap Decision Model for Multi-Period Microgrid Planning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07337","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":"sha256:8e0e0486bc2e7725a183685caea6cb5a5f09a5171288ca708faec3a4107c18d4","target":"record","created_at":"2026-05-18T00:36:46Z","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":"5672235bc6b08f813ee805863274d054ee6521252b41f7e66151f39e591210d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-24T09:47:25Z","title_canon_sha256":"e2bc1e8845b02172a2f7a5169d78430e08df903f87c2dc5e2348a786911d5279"},"schema_version":"1.0","source":{"id":"1708.07337","kind":"arxiv","version":1}},"canonical_sha256":"7568f3877d0ef6c560ea47599fc09bc415fc760c530a6fb703754d78ce7146d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7568f3877d0ef6c560ea47599fc09bc415fc760c530a6fb703754d78ce7146d9","first_computed_at":"2026-05-18T00:36:46.511549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:46.511549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y/zGIFR7wIv5suOrxbuKL094Lu7XDeQ0LGYP+CswnvZTrg90a6EoUgR2lCQN6e4jAlzISYiP8uG2vTC+ALd4AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:46.512235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.07337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e0e0486bc2e7725a183685caea6cb5a5f09a5171288ca708faec3a4107c18d4","sha256:d90b597a6f54dda4d6d5a1cfe9f50318507a4d35944e324898b1ca592a52fe98"],"state_sha256":"6ef110953ff956522ddd22d0571c2c69eefa8ee128afeca9222d0f60d393d814"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42hMX4IbJhaRkR/xkthGzNFaEI3v/rAqKaSg7l/HX6+yeSAidzZEwkQ1AnthHZLkaysxuvNqwEvXKkPlhlWqBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:43:49.500627Z","bundle_sha256":"5a07989978c119b6a7ed2e3995a7a06771e970d3ce58a1eac3a81572f1381147"}}