{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:GXPYB24VM6MSBAWXNVDSQMRNZR","short_pith_number":"pith:GXPYB24V","schema_version":"1.0","canonical_sha256":"35df80eb9567992082d76d4728322dcc507ed9f3cca6e8570d390d7883788599","source":{"kind":"arxiv","id":"1908.07856","version":2},"attestation_state":"computed","paper":{"title":"Optimal Portfolio of Distinct Frequency-Response Services in Low-Inertia Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Fei Teng, Goran Strbac, Luis Badesa","submitted_at":"2019-08-21T13:17:28Z","abstract_excerpt":"A reduced level of system inertia due to renewable integration increases the need for cost-effective provision of ancillary services, such as Frequency Response (FR). In this paper we propose a closed-form solution to the differential equation describing frequency dynamics, which allows to obtain frequency-security algebraic constraints to be implemented in optimisation routines. This is done while considering any finite number of FR services with distinguished characteristics, such as different delivery times and activation delays. The problem defined by these frequency-security constraints c"},"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":"1908.07856","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-08-21T13:17:28Z","cross_cats_sorted":[],"title_canon_sha256":"89b03fed96f1f2baf6cff36489ed429237e1d2742ef15f7e6140a89b6f6b3d39","abstract_canon_sha256":"89daaec1fe610efe13b390e4bf7500f8853341187496c2877d0e044e3bcc83db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:07:43.881512Z","signature_b64":"H2yocbZBV+f2oTCGI9UvF8Wve9np3nVK30MGMkCtCA3qtlGQNV8zJr1szk79BYb29A38tqMB7smy8hDz71DrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35df80eb9567992082d76d4728322dcc507ed9f3cca6e8570d390d7883788599","last_reissued_at":"2026-07-05T02:07:43.880933Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:07:43.880933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Portfolio of Distinct Frequency-Response Services in Low-Inertia Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Fei Teng, Goran Strbac, Luis Badesa","submitted_at":"2019-08-21T13:17:28Z","abstract_excerpt":"A reduced level of system inertia due to renewable integration increases the need for cost-effective provision of ancillary services, such as Frequency Response (FR). In this paper we propose a closed-form solution to the differential equation describing frequency dynamics, which allows to obtain frequency-security algebraic constraints to be implemented in optimisation routines. This is done while considering any finite number of FR services with distinguished characteristics, such as different delivery times and activation delays. The problem defined by these frequency-security constraints c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07856","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.07856/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":"1908.07856","created_at":"2026-07-05T02:07:43.881001+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.07856v2","created_at":"2026-07-05T02:07:43.881001+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07856","created_at":"2026-07-05T02:07:43.881001+00:00"},{"alias_kind":"pith_short_12","alias_value":"GXPYB24VM6MS","created_at":"2026-07-05T02:07:43.881001+00:00"},{"alias_kind":"pith_short_16","alias_value":"GXPYB24VM6MSBAWX","created_at":"2026-07-05T02:07:43.881001+00:00"},{"alias_kind":"pith_short_8","alias_value":"GXPYB24V","created_at":"2026-07-05T02:07:43.881001+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/GXPYB24VM6MSBAWXNVDSQMRNZR","json":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR.json","graph_json":"https://pith.science/api/pith-number/GXPYB24VM6MSBAWXNVDSQMRNZR/graph.json","events_json":"https://pith.science/api/pith-number/GXPYB24VM6MSBAWXNVDSQMRNZR/events.json","paper":"https://pith.science/paper/GXPYB24V"},"agent_actions":{"view_html":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR","download_json":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR.json","view_paper":"https://pith.science/paper/GXPYB24V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.07856&json=true","fetch_graph":"https://pith.science/api/pith-number/GXPYB24VM6MSBAWXNVDSQMRNZR/graph.json","fetch_events":"https://pith.science/api/pith-number/GXPYB24VM6MSBAWXNVDSQMRNZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR/action/storage_attestation","attest_author":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR/action/author_attestation","sign_citation":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR/action/citation_signature","submit_replication":"https://pith.science/pith/GXPYB24VM6MSBAWXNVDSQMRNZR/action/replication_record"}},"created_at":"2026-07-05T02:07:43.881001+00:00","updated_at":"2026-07-05T02:07:43.881001+00:00"}