{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:BD572U4QD7NJ6YLYAYNU5DH362","short_pith_number":"pith:BD572U4Q","schema_version":"1.0","canonical_sha256":"08fbfd53901fda9f6178061b4e8cfbf686084bc99d2b0a84c7803ef407c91881","source":{"kind":"arxiv","id":"2409.19079","version":1},"attestation_state":"computed","paper":{"title":"Improved formulation for long-duration storage in capacity expansion models using representative periods","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Federico Parolin, Paolo Colbertaldo, Ruaridh Macdonald","submitted_at":"2024-09-27T18:26:12Z","abstract_excerpt":"With the increasing complexity and size of capacity expansion models, temporal aggregation has emerged as a common method to improve computational tractability. However, this approach inherently complicates the inclusion of long-duration storage (LDS) systems, whose operation involves the entire time horizon connecting all time steps. This work presents a detailed investigation of LDS modelling with temporal aggregation. A novel compact formulation is proposed to reduce the number of constraints while effectively tracking the storage content and enforcing limits on the state of charge througho"},"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":"2409.19079","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"eess.SY","submitted_at":"2024-09-27T18:26:12Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"f922599cff898c2cec30c946db2e691a0c34b126d1ef56fc8c7239d1288ef873","abstract_canon_sha256":"e6bc93a4dff54cf958d04f2eeedf3fd68e16c74de7fe9183c5206f2ee901ca70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:10.337657Z","signature_b64":"uQpyEfgO13//fPmmTF8RRwuJn3Xx0ag/P7BjJzs3vdaMRgZsNMYsjFM0fWDQFHN+h6KwAmCKFGiei6OmGVayDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08fbfd53901fda9f6178061b4e8cfbf686084bc99d2b0a84c7803ef407c91881","last_reissued_at":"2026-07-05T09:13:10.337029Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:10.337029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Improved formulation for long-duration storage in capacity expansion models using representative periods","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Federico Parolin, Paolo Colbertaldo, Ruaridh Macdonald","submitted_at":"2024-09-27T18:26:12Z","abstract_excerpt":"With the increasing complexity and size of capacity expansion models, temporal aggregation has emerged as a common method to improve computational tractability. However, this approach inherently complicates the inclusion of long-duration storage (LDS) systems, whose operation involves the entire time horizon connecting all time steps. This work presents a detailed investigation of LDS modelling with temporal aggregation. A novel compact formulation is proposed to reduce the number of constraints while effectively tracking the storage content and enforcing limits on the state of charge througho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19079","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/2409.19079/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":"2409.19079","created_at":"2026-07-05T09:13:10.337109+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.19079v1","created_at":"2026-07-05T09:13:10.337109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19079","created_at":"2026-07-05T09:13:10.337109+00:00"},{"alias_kind":"pith_short_12","alias_value":"BD572U4QD7NJ","created_at":"2026-07-05T09:13:10.337109+00:00"},{"alias_kind":"pith_short_16","alias_value":"BD572U4QD7NJ6YLY","created_at":"2026-07-05T09:13:10.337109+00:00"},{"alias_kind":"pith_short_8","alias_value":"BD572U4Q","created_at":"2026-07-05T09:13:10.337109+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/BD572U4QD7NJ6YLYAYNU5DH362","json":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362.json","graph_json":"https://pith.science/api/pith-number/BD572U4QD7NJ6YLYAYNU5DH362/graph.json","events_json":"https://pith.science/api/pith-number/BD572U4QD7NJ6YLYAYNU5DH362/events.json","paper":"https://pith.science/paper/BD572U4Q"},"agent_actions":{"view_html":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362","download_json":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362.json","view_paper":"https://pith.science/paper/BD572U4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.19079&json=true","fetch_graph":"https://pith.science/api/pith-number/BD572U4QD7NJ6YLYAYNU5DH362/graph.json","fetch_events":"https://pith.science/api/pith-number/BD572U4QD7NJ6YLYAYNU5DH362/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362/action/storage_attestation","attest_author":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362/action/author_attestation","sign_citation":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362/action/citation_signature","submit_replication":"https://pith.science/pith/BD572U4QD7NJ6YLYAYNU5DH362/action/replication_record"}},"created_at":"2026-07-05T09:13:10.337109+00:00","updated_at":"2026-07-05T09:13:10.337109+00:00"}