{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:J6R2SD5XD7KHP6STBAJPREQBGX","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":"f2c6882c273b1a305c6409cad2661ab275a02d581f11c96b64de94325e21351e","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-23T11:46:11Z","title_canon_sha256":"64e656bffb31b49a7ce7cfb3b3e5131e22c4702ada3379d3e608a890d61d57bf"},"schema_version":"1.0","source":{"id":"1902.08780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08780","created_at":"2026-05-17T23:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08780v1","created_at":"2026-05-17T23:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08780","created_at":"2026-05-17T23:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"J6R2SD5XD7KH","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"J6R2SD5XD7KHP6ST","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"J6R2SD5X","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:272a25343caf42aabd04fa7a0a4b034a6907309f4a02eccbf68d2972704e8fdf","target":"graph","created_at":"2026-05-17T23:52:49Z","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":"Hosting capacity is defined as the level of penetration that a particular technology can connect to a distribution network without causing power quality problems. In this work, we study the impact of solar photovoltaics (PV) on voltage rise. In most cases, the locations and sizes of the PV are not known in advance, so hosting capacity must be considered as a random variable. Most hosting capacity methods study the problem considering a large number of scenarios, many of which provide little additional information. We overcome this problem by studying only cases where voltage constraints are ac","authors_text":"Constance Crozier, Dimitra Apostolopoulou, Malcolm McCulloch, Matthew Deakin, Thomas Morstyn","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-23T11:46:11Z","title":"Stochastic Hosting Capacity in LV Distribution Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08780","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:f37e2a8ddddd2e4b103e528da1f2f2d0719b26f1b1cab62f04c046464787c9cc","target":"record","created_at":"2026-05-17T23:52:49Z","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":"f2c6882c273b1a305c6409cad2661ab275a02d581f11c96b64de94325e21351e","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-23T11:46:11Z","title_canon_sha256":"64e656bffb31b49a7ce7cfb3b3e5131e22c4702ada3379d3e608a890d61d57bf"},"schema_version":"1.0","source":{"id":"1902.08780","kind":"arxiv","version":1}},"canonical_sha256":"4fa3a90fb71fd477fa530812f8920135dba9c4d0a48299c592352a38b077368d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fa3a90fb71fd477fa530812f8920135dba9c4d0a48299c592352a38b077368d","first_computed_at":"2026-05-17T23:52:49.948945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:49.948945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R0DUeqoxw5UKLWUqN3v8JTgYmIJIkMmopz0PzZn4VxFPtA/EEdkyxWO8rTF4c6pr3G4UoeqfEIO6fpjGXy3WDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:49.949662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.08780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f37e2a8ddddd2e4b103e528da1f2f2d0719b26f1b1cab62f04c046464787c9cc","sha256:272a25343caf42aabd04fa7a0a4b034a6907309f4a02eccbf68d2972704e8fdf"],"state_sha256":"db882beb8ccffe361a729f1620f03a762cd731020e9e5c297604c9259bac84cb"}