{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:T7RFNPT6UFUMQPAP2UG5UDEBI4","short_pith_number":"pith:T7RFNPT6","canonical_record":{"source":{"id":"1907.06930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-07-16T10:23:37Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"41f77f726ca9986891254eb11cec826d952619c33455a7f69239673e73ba66df","abstract_canon_sha256":"0b8af17e0934dceb1762e33024f9773bef21bd3aff8cb319cb516e75b1e0757b"},"schema_version":"1.0"},"canonical_sha256":"9fe256be7ea168c83c0fd50dda0c81473250648f81ea132bf72013462f628cd1","source":{"kind":"arxiv","id":"1907.06930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06930","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06930v1","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06930","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"T7RFNPT6UFUM","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"T7RFNPT6UFUMQPAP","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"T7RFNPT6","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:T7RFNPT6UFUMQPAP2UG5UDEBI4","target":"record","payload":{"canonical_record":{"source":{"id":"1907.06930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-07-16T10:23:37Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"41f77f726ca9986891254eb11cec826d952619c33455a7f69239673e73ba66df","abstract_canon_sha256":"0b8af17e0934dceb1762e33024f9773bef21bd3aff8cb319cb516e75b1e0757b"},"schema_version":"1.0"},"canonical_sha256":"9fe256be7ea168c83c0fd50dda0c81473250648f81ea132bf72013462f628cd1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:28.651504Z","signature_b64":"+4naIEI9sPKN5My6UX1optCyklcVMnFIQ0VAZcTENnUMnNlt0nS6Y6N3RHkBFHkD03NA/gtT7KUS8ce1UVrfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fe256be7ea168c83c0fd50dda0c81473250648f81ea132bf72013462f628cd1","last_reissued_at":"2026-05-17T23:40:28.650892Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:28.650892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.06930","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EvH+qyVeNYFe+wvMjvZRcwvn4PejPTq2MuLUgDOVidF+jyTVkkwRtfFr5RczdQVUx4JKtjblAjUUGZcHy67ZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:20:00.156387Z"},"content_sha256":"15452fd9297ce2d465d067410bdc509119dd3fce792dce943d5413c1805231c9","schema_version":"1.0","event_id":"sha256:15452fd9297ce2d465d067410bdc509119dd3fce792dce943d5413c1805231c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:T7RFNPT6UFUMQPAP2UG5UDEBI4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Performance Assessment of Kron Reduction in the Numerical Analysis of Polyphase Power Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Andreas Martin Kettner, Mario Paolone","submitted_at":"2019-07-16T10:23:37Z","abstract_excerpt":"This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage stability assessment. For these applications, the standard Newton-Raphson method, linear weighted-least-squares regression, and homotopy continuation method are used, respectively. The performance of the said numerical methods is assessed in a series of simulations, in which the zero-injection nodes of a test system are successively eliminated through Kron r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06930","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w20X/RlOFflD036JA9mOuxDVIlUqKcm89ZK+WcAzk2h3aY+C1mqlsTGY7t4HNKYJw2j/JwdOdm8g7scxu3ueCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:20:00.156730Z"},"content_sha256":"05519cf1eac3ea93df8adce183cc1462208b872e9b6403b0e9a4feb07113141e","schema_version":"1.0","event_id":"sha256:05519cf1eac3ea93df8adce183cc1462208b872e9b6403b0e9a4feb07113141e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/bundle.json","state_url":"https://pith.science/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T10:20:00Z","links":{"resolver":"https://pith.science/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4","bundle":"https://pith.science/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/bundle.json","state":"https://pith.science/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7RFNPT6UFUMQPAP2UG5UDEBI4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:T7RFNPT6UFUMQPAP2UG5UDEBI4","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":"0b8af17e0934dceb1762e33024f9773bef21bd3aff8cb319cb516e75b1e0757b","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-07-16T10:23:37Z","title_canon_sha256":"41f77f726ca9986891254eb11cec826d952619c33455a7f69239673e73ba66df"},"schema_version":"1.0","source":{"id":"1907.06930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06930","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06930v1","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06930","created_at":"2026-05-17T23:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"T7RFNPT6UFUM","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"T7RFNPT6UFUMQPAP","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"T7RFNPT6","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:05519cf1eac3ea93df8adce183cc1462208b872e9b6403b0e9a4feb07113141e","target":"graph","created_at":"2026-05-17T23:40:28Z","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":"This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage stability assessment. For these applications, the standard Newton-Raphson method, linear weighted-least-squares regression, and homotopy continuation method are used, respectively. The performance of the said numerical methods is assessed in a series of simulations, in which the zero-injection nodes of a test system are successively eliminated through Kron r","authors_text":"Andreas Martin Kettner, Mario Paolone","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-07-16T10:23:37Z","title":"Performance Assessment of Kron Reduction in the Numerical Analysis of Polyphase Power Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06930","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":"sha256:15452fd9297ce2d465d067410bdc509119dd3fce792dce943d5413c1805231c9","target":"record","created_at":"2026-05-17T23:40:28Z","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":"0b8af17e0934dceb1762e33024f9773bef21bd3aff8cb319cb516e75b1e0757b","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2019-07-16T10:23:37Z","title_canon_sha256":"41f77f726ca9986891254eb11cec826d952619c33455a7f69239673e73ba66df"},"schema_version":"1.0","source":{"id":"1907.06930","kind":"arxiv","version":1}},"canonical_sha256":"9fe256be7ea168c83c0fd50dda0c81473250648f81ea132bf72013462f628cd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fe256be7ea168c83c0fd50dda0c81473250648f81ea132bf72013462f628cd1","first_computed_at":"2026-05-17T23:40:28.650892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:28.650892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+4naIEI9sPKN5My6UX1optCyklcVMnFIQ0VAZcTENnUMnNlt0nS6Y6N3RHkBFHkD03NA/gtT7KUS8ce1UVrfAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:28.651504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15452fd9297ce2d465d067410bdc509119dd3fce792dce943d5413c1805231c9","sha256:05519cf1eac3ea93df8adce183cc1462208b872e9b6403b0e9a4feb07113141e"],"state_sha256":"4e3d959e6d37be92f4f20393a234aa71a6351bed7d85550abf4334d39531d4d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2HDUs9AU13PeFnDNziJ3g/tfAel7TTX5XTtE6feuF9Wn8zeFYM/TMaWILAJtfG6iD+KXe8KvCfURnb9nqidBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T10:20:00.158615Z","bundle_sha256":"44a714c9201952752fd2b6403c2612de05ccae9ce4e4c880fd11696e27ac7971"}}