{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DKWHSEJBYFITC743UCZOU3SUX6","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":"66c5411abb4c026eaedabebd163f6408d8c18e86206b4eb1ed1186e9119491c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-12-16T21:56:31Z","title_canon_sha256":"ca01a1a4491fa97c514bf22d095b1dce6817d60b48b869e8f755569d9e7d7627"},"schema_version":"1.0","source":{"id":"1512.05391","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05391","created_at":"2026-05-18T01:10:59Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05391v4","created_at":"2026-05-18T01:10:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05391","created_at":"2026-05-18T01:10:59Z"},{"alias_kind":"pith_short_12","alias_value":"DKWHSEJBYFIT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKWHSEJBYFITC743","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKWHSEJB","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:c8a3576fd999afc5b0951a8c907719d029e6b6cb6712e79796c3447cb23dd0a8","target":"graph","created_at":"2026-05-18T01:10:59Z","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":"Local changes in the topology of electricity grids can cause overloads far away from the disturbance, making the prediction of the robustness against changes in the topology - for example caused by power outages or grid extensions - a challenging task. The impact of single-line additions on the long-range response of DC electricity grids has recently been studied. By solving the real part of the static AC load flow equations, we conduct a similar investigation for AC grids. In a regular 2D grid graph with cyclic boundary conditions, we find a power law decay for the change of power flow as a f","authors_text":"Daniel Jung, Stefan Kettemann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-12-16T21:56:31Z","title":"Long-range Response in AC Electricity Grids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05391","kind":"arxiv","version":4},"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:a94243389e957c42fae4e29e1e4b35d7473fc73c4532e77a655368ab3f1f0ae8","target":"record","created_at":"2026-05-18T01:10:59Z","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":"66c5411abb4c026eaedabebd163f6408d8c18e86206b4eb1ed1186e9119491c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-12-16T21:56:31Z","title_canon_sha256":"ca01a1a4491fa97c514bf22d095b1dce6817d60b48b869e8f755569d9e7d7627"},"schema_version":"1.0","source":{"id":"1512.05391","kind":"arxiv","version":4}},"canonical_sha256":"1aac791121c151317f9ba0b2ea6e54bfb435dab98e891cb6c301dc465476e805","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aac791121c151317f9ba0b2ea6e54bfb435dab98e891cb6c301dc465476e805","first_computed_at":"2026-05-18T01:10:59.578258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:59.578258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dWPQUz3q5eNoLz76LRDs6vY7kFmGMRsdXax6Ku6iG6IVNVLBucZX5xvw1KOoHhjHwce+dORKZ9AprsPImZorCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:59.578807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05391","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a94243389e957c42fae4e29e1e4b35d7473fc73c4532e77a655368ab3f1f0ae8","sha256:c8a3576fd999afc5b0951a8c907719d029e6b6cb6712e79796c3447cb23dd0a8"],"state_sha256":"fa918b1f8d031e508c74890eddbd32df8aa43541edb579028cbf0d92b00e4bcf"}