{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:NHTLOY5JQJTWYJZZAWJXQOLW2D","short_pith_number":"pith:NHTLOY5J","schema_version":"1.0","canonical_sha256":"69e6b763a982676c27390593783976d0cd795ae1dff423e605a9cc7c0fb596bb","source":{"kind":"arxiv","id":"2109.03434","version":1},"attestation_state":"computed","paper":{"title":"Flexibility Requirement when Tracking Renewable Power Fluctuation with Peer-to-Peer Energy Sharing","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Jo\\~ao P. S. Catal\\~ao, Laijun Chen, Mingxuan Li, Wei Wei, Yue Chen","submitted_at":"2021-09-08T05:01:23Z","abstract_excerpt":"Flexible load at the demand-side has been regarded as an effective measure to cope with volatile distributed renewable generations. To unlock the demand-side flexibility, this paper proposes a peer-to-peer energy sharing mechanism that facilitates energy exchange among users while preserving privacy. We prove the existence and partial uniqueness of the energy sharing market equilibrium and provide a centralized optimization to obtain the equilibrium. The centralized optimization is further linearized by a convex combination approach, turning into a multi-parametric linear program (MP-LP) with "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2109.03434","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2021-09-08T05:01:23Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"e1d04cade0f997cc8f6d85f8ad575e9442a43f853bfa5d7cdacca3060992f6c4","abstract_canon_sha256":"4d27360f7e6172ad7c43204bc0f05f1c486f5d1b7fe2996fa9363c0bc6a8628d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:12:31.088839Z","signature_b64":"+eX7ptUG2vTSsMOTAc/JwisTxlYIPVtiNpqr+goIPyp/MmvjsNhvhQEjNlOlRjgxeGQmvJ73xO1UzjHjM0rOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69e6b763a982676c27390593783976d0cd795ae1dff423e605a9cc7c0fb596bb","last_reissued_at":"2026-07-05T03:12:31.088295Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:12:31.088295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flexibility Requirement when Tracking Renewable Power Fluctuation with Peer-to-Peer Energy Sharing","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Jo\\~ao P. S. Catal\\~ao, Laijun Chen, Mingxuan Li, Wei Wei, Yue Chen","submitted_at":"2021-09-08T05:01:23Z","abstract_excerpt":"Flexible load at the demand-side has been regarded as an effective measure to cope with volatile distributed renewable generations. To unlock the demand-side flexibility, this paper proposes a peer-to-peer energy sharing mechanism that facilitates energy exchange among users while preserving privacy. We prove the existence and partial uniqueness of the energy sharing market equilibrium and provide a centralized optimization to obtain the equilibrium. The centralized optimization is further linearized by a convex combination approach, turning into a multi-parametric linear program (MP-LP) with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.03434","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.03434/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2109.03434","created_at":"2026-07-05T03:12:31.088365+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.03434v1","created_at":"2026-07-05T03:12:31.088365+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.03434","created_at":"2026-07-05T03:12:31.088365+00:00"},{"alias_kind":"pith_short_12","alias_value":"NHTLOY5JQJTW","created_at":"2026-07-05T03:12:31.088365+00:00"},{"alias_kind":"pith_short_16","alias_value":"NHTLOY5JQJTWYJZZ","created_at":"2026-07-05T03:12:31.088365+00:00"},{"alias_kind":"pith_short_8","alias_value":"NHTLOY5J","created_at":"2026-07-05T03:12:31.088365+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D","json":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D.json","graph_json":"https://pith.science/api/pith-number/NHTLOY5JQJTWYJZZAWJXQOLW2D/graph.json","events_json":"https://pith.science/api/pith-number/NHTLOY5JQJTWYJZZAWJXQOLW2D/events.json","paper":"https://pith.science/paper/NHTLOY5J"},"agent_actions":{"view_html":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D","download_json":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D.json","view_paper":"https://pith.science/paper/NHTLOY5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.03434&json=true","fetch_graph":"https://pith.science/api/pith-number/NHTLOY5JQJTWYJZZAWJXQOLW2D/graph.json","fetch_events":"https://pith.science/api/pith-number/NHTLOY5JQJTWYJZZAWJXQOLW2D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D/action/storage_attestation","attest_author":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D/action/author_attestation","sign_citation":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D/action/citation_signature","submit_replication":"https://pith.science/pith/NHTLOY5JQJTWYJZZAWJXQOLW2D/action/replication_record"}},"created_at":"2026-07-05T03:12:31.088365+00:00","updated_at":"2026-07-05T03:12:31.088365+00:00"}