{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CJ2QZXH3GKDHUAGSYVMLCYZQ5R","short_pith_number":"pith:CJ2QZXH3","canonical_record":{"source":{"id":"1903.08354","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-20T06:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"66399b0fb9a1d708535a8f57682d8132817b1fa894e19b6b7b038ed4931f41b3","abstract_canon_sha256":"06806752203f1e97b4989f5a23a8787bf5a5697b2101235a3f334f30bbf8afae"},"schema_version":"1.0"},"canonical_sha256":"12750cdcfb32867a00d2c558b16330ec66e76391ee11630020411634f4d425e6","source":{"kind":"arxiv","id":"1903.08354","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.08354","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"arxiv_version","alias_value":"1903.08354v1","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08354","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"pith_short_12","alias_value":"CJ2QZXH3GKDH","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CJ2QZXH3GKDHUAGS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CJ2QZXH3","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CJ2QZXH3GKDHUAGSYVMLCYZQ5R","target":"record","payload":{"canonical_record":{"source":{"id":"1903.08354","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-20T06:13:11Z","cross_cats_sorted":[],"title_canon_sha256":"66399b0fb9a1d708535a8f57682d8132817b1fa894e19b6b7b038ed4931f41b3","abstract_canon_sha256":"06806752203f1e97b4989f5a23a8787bf5a5697b2101235a3f334f30bbf8afae"},"schema_version":"1.0"},"canonical_sha256":"12750cdcfb32867a00d2c558b16330ec66e76391ee11630020411634f4d425e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:48.347845Z","signature_b64":"M+kjxdzLEDrwaWUoBZq9DSTNDda2l+q+Q7uhLPWe6E0p0JPPSfCPA34VaRgr/H9Q2JyN11jHmWs5P5MbdjnIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12750cdcfb32867a00d2c558b16330ec66e76391ee11630020411634f4d425e6","last_reissued_at":"2026-05-17T23:50:48.347132Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:48.347132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.08354","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":"2026-05-17T23:50:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BHYyJr7lQ6WOo1EfFI8bEmvpeEk9/uT5c2ymEKL7Cqq3yZa9Ni5FRDK7RGDVUS+KVOQADKO2uXqrNgFkJgHrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:08:28.018230Z"},"content_sha256":"b33fb07a5fd6acd105d785144fcb4515298c22b9ffb52956d9ba7045fa1ba296","schema_version":"1.0","event_id":"sha256:b33fb07a5fd6acd105d785144fcb4515298c22b9ffb52956d9ba7045fa1ba296"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CJ2QZXH3GKDHUAGSYVMLCYZQ5R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Deepjyoti Deka, Harsha Nagarajan, Siddharth Bhela, Vassilis Kekatos","submitted_at":"2019-03-20T06:13:11Z","abstract_excerpt":"The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a variety of stability metrics, a unified framework based on the $H_2$-norm of the system is presented. The proposed framework assesses the robustness of power grids to small disturbances and is used to study the optimal placement of new lines on existing networks as well as the design of radial (tree) and meshed (loopy) topologies for new networks. Although t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08354","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":"2026-05-17T23:50:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bw/lBF5X6qwqXp+Q1+m/zqekROM3AjKffpbx6XiT+NJpPA7Mj/SkZLu7FCiaUlzgfBNoZqx+twEaAd0HRJy+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:08:28.018951Z"},"content_sha256":"738427473137d9ebb8839e30c5b66452d15cc035cda9db5cc2c03349367fb857","schema_version":"1.0","event_id":"sha256:738427473137d9ebb8839e30c5b66452d15cc035cda9db5cc2c03349367fb857"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/bundle.json","state_url":"https://pith.science/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/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":"2026-06-11T22:08:28Z","links":{"resolver":"https://pith.science/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R","bundle":"https://pith.science/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/bundle.json","state":"https://pith.science/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJ2QZXH3GKDHUAGSYVMLCYZQ5R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CJ2QZXH3GKDHUAGSYVMLCYZQ5R","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":"06806752203f1e97b4989f5a23a8787bf5a5697b2101235a3f334f30bbf8afae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-20T06:13:11Z","title_canon_sha256":"66399b0fb9a1d708535a8f57682d8132817b1fa894e19b6b7b038ed4931f41b3"},"schema_version":"1.0","source":{"id":"1903.08354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.08354","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"arxiv_version","alias_value":"1903.08354v1","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08354","created_at":"2026-05-17T23:50:48Z"},{"alias_kind":"pith_short_12","alias_value":"CJ2QZXH3GKDH","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CJ2QZXH3GKDHUAGS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CJ2QZXH3","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:738427473137d9ebb8839e30c5b66452d15cc035cda9db5cc2c03349367fb857","target":"graph","created_at":"2026-05-17T23:50:48Z","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":"The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a variety of stability metrics, a unified framework based on the $H_2$-norm of the system is presented. The proposed framework assesses the robustness of power grids to small disturbances and is used to study the optimal placement of new lines on existing networks as well as the design of radial (tree) and meshed (loopy) topologies for new networks. Although t","authors_text":"Deepjyoti Deka, Harsha Nagarajan, Siddharth Bhela, Vassilis Kekatos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-20T06:13:11Z","title":"Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08354","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:b33fb07a5fd6acd105d785144fcb4515298c22b9ffb52956d9ba7045fa1ba296","target":"record","created_at":"2026-05-17T23:50:48Z","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":"06806752203f1e97b4989f5a23a8787bf5a5697b2101235a3f334f30bbf8afae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-20T06:13:11Z","title_canon_sha256":"66399b0fb9a1d708535a8f57682d8132817b1fa894e19b6b7b038ed4931f41b3"},"schema_version":"1.0","source":{"id":"1903.08354","kind":"arxiv","version":1}},"canonical_sha256":"12750cdcfb32867a00d2c558b16330ec66e76391ee11630020411634f4d425e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12750cdcfb32867a00d2c558b16330ec66e76391ee11630020411634f4d425e6","first_computed_at":"2026-05-17T23:50:48.347132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:48.347132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M+kjxdzLEDrwaWUoBZq9DSTNDda2l+q+Q7uhLPWe6E0p0JPPSfCPA34VaRgr/H9Q2JyN11jHmWs5P5MbdjnIDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:48.347845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.08354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b33fb07a5fd6acd105d785144fcb4515298c22b9ffb52956d9ba7045fa1ba296","sha256:738427473137d9ebb8839e30c5b66452d15cc035cda9db5cc2c03349367fb857"],"state_sha256":"ae46884b18c86b8ff9c2d85d220e286306a9d88fe65555d616b53bd05a470981"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pj+JqdWhzO9RJLJmk9XumKd5rROVeM4pf6f61EmbWQrjynzofOoqECQo+9sDaV9beF42N0Z40imSbTMMX1wcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:08:28.023544Z","bundle_sha256":"541893fbb5834816bcb0ecc038786118ce7b9b50bf9ec2dd2c1148ec2c17f8d4"}}