{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GLCLCMX2SJVEIFZYUCM4Q5ZGSE","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":"4cdc31ae7276cd3fa2b5e340c15697578c4d1ee104f67e51482218e7a64ff10f","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-04T22:58:28Z","title_canon_sha256":"7db05e66e47c89cedd6f3e96552cc0abb21bcd14e221fc1e9e47b5fa0439f6cc"},"schema_version":"1.0","source":{"id":"1603.01650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01650","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01650v1","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01650","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"GLCLCMX2SJVE","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GLCLCMX2SJVEIFZY","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GLCLCMX2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:eff431a2dda05e8b3b09a4d6bfe97b7b3baee2e3ff36f24ce1b80ebf4e7d7d65","target":"graph","created_at":"2026-05-18T01:19:35Z","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":"Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original loopy grid graph by opening switches on some lines. Due to limited presence of real-time switch monitoring devices, the operating structure needs to be estimated indirectly. This paper presents a new learning algorithm that uses only nodal voltage measurements to determine the operational radial structure. The algorithm is based on the key result stating that t","authors_text":"Deepjyoti Deka, Michael Chertkov, Scott Backhaus","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-04T22:58:28Z","title":"Learning Topology of the Power Distribution Grid with and without Missing Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01650","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:f6232a333a81c9c159066876818aea0d472cf1019b81d89354212b01e7f3323c","target":"record","created_at":"2026-05-18T01:19:35Z","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":"4cdc31ae7276cd3fa2b5e340c15697578c4d1ee104f67e51482218e7a64ff10f","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-03-04T22:58:28Z","title_canon_sha256":"7db05e66e47c89cedd6f3e96552cc0abb21bcd14e221fc1e9e47b5fa0439f6cc"},"schema_version":"1.0","source":{"id":"1603.01650","kind":"arxiv","version":1}},"canonical_sha256":"32c4b132fa926a441738a099c877269101473b0b510729ea2b1da0d646730418","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32c4b132fa926a441738a099c877269101473b0b510729ea2b1da0d646730418","first_computed_at":"2026-05-18T01:19:35.079396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:35.079396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CTcwrvgSFQ3jXSsUJhg6H8CK2j38V+RFX3L0iboEgExxYmw4+qCVsArAtvNdaqEnAtVv7FnbhHqqTk6DXBUkDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:35.079932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6232a333a81c9c159066876818aea0d472cf1019b81d89354212b01e7f3323c","sha256:eff431a2dda05e8b3b09a4d6bfe97b7b3baee2e3ff36f24ce1b80ebf4e7d7d65"],"state_sha256":"6a410fc2f791afa17aa164b402c205bbb5066bf508c69d5f1cc3eaee98ec2868"}