{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:QERRDGW7WWPGRYUQTP5RXKSLWW","short_pith_number":"pith:QERRDGW7","canonical_record":{"source":{"id":"2102.06349","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-12T04:32:50Z","cross_cats_sorted":["cs.SY","eess.SY","physics.soc-ph"],"title_canon_sha256":"d7022615aadc39cb4dd30ddbab896dd962ea70d962198f2e46a8f839ec58cbf8","abstract_canon_sha256":"bc0f7758e0e0049967a67a2a58f0b697572173904dd9e781128fb6c6e60e7c46"},"schema_version":"1.0"},"canonical_sha256":"8123119adfb59e68e2909bfb1baa4bb59bbf89393848b2a3d0d7af459d48a37f","source":{"kind":"arxiv","id":"2102.06349","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.06349","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"2102.06349v1","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.06349","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"QERRDGW7WWPG","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"QERRDGW7WWPGRYUQ","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"QERRDGW7","created_at":"2026-07-05T02:14:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:QERRDGW7WWPGRYUQTP5RXKSLWW","target":"record","payload":{"canonical_record":{"source":{"id":"2102.06349","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-12T04:32:50Z","cross_cats_sorted":["cs.SY","eess.SY","physics.soc-ph"],"title_canon_sha256":"d7022615aadc39cb4dd30ddbab896dd962ea70d962198f2e46a8f839ec58cbf8","abstract_canon_sha256":"bc0f7758e0e0049967a67a2a58f0b697572173904dd9e781128fb6c6e60e7c46"},"schema_version":"1.0"},"canonical_sha256":"8123119adfb59e68e2909bfb1baa4bb59bbf89393848b2a3d0d7af459d48a37f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:14:47.243370Z","signature_b64":"2EnewM7x922jvXr9cIkhIQKk2sIyShSeCPo2I2f3J9grwGFHnhcCAnj3p3SPi/v5zemegdM+e7txYty9lgILCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8123119adfb59e68e2909bfb1baa4bb59bbf89393848b2a3d0d7af459d48a37f","last_reissued_at":"2026-07-05T02:14:47.242817Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:14:47.242817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.06349","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":"2026-07-05T02:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EbG16qTkZ/P+u3jtHOFxZHRBKd0HOZ69V/pWGxdKBtwMh9c/R73hU3x1k8fxFQ12k5gsabN2YCVQbRADhBMzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:18:22.308064Z"},"content_sha256":"3e3345a4ce1d2225d70dbd8948a3310394ceec4254dde714b3c0e3cd76b027fc","schema_version":"1.0","event_id":"sha256:3e3345a4ce1d2225d70dbd8948a3310394ceec4254dde714b3c0e3cd76b027fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:QERRDGW7WWPGRYUQTP5RXKSLWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physics-Informed Graphical Neural Network for Parameter & State Estimations in Power Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","eess.SY","physics.soc-ph"],"primary_cat":"cs.LG","authors_text":"Laurent Pagnier, Michael Chertkov","submitted_at":"2021-02-12T04:32:50Z","abstract_excerpt":"Parameter Estimation (PE) and State Estimation (SE) are the most wide-spread tasks in the system engineering. They need to be done automatically, fast and frequently, as measurements arrive. Deep Learning (DL) holds the promise of tackling the challenge, however in so far, as PE and SE in power systems is concerned, (a) DL did not win trust of the system operators because of the lack of the physics of electricity based, interpretations and (b) DL remained illusive in the operational regimes were data is scarce. To address this, we present a hybrid scheme which embeds physics modeling of power "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.06349","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.06349/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ecphiWEA1VAypfnkmmPgQZxGwyuvFq+076HUm+BSc9tddfUrlkUGqH1ELm+IotnePYQy5/2i5Flz1WmJSMGrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:18:22.308565Z"},"content_sha256":"fb65f62f27d68bd7186d1ff4a3aca56cff9df4133c3639777b02f4667324b280","schema_version":"1.0","event_id":"sha256:fb65f62f27d68bd7186d1ff4a3aca56cff9df4133c3639777b02f4667324b280"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/bundle.json","state_url":"https://pith.science/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/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":"2026-08-04T11:18:22Z","links":{"resolver":"https://pith.science/pith/QERRDGW7WWPGRYUQTP5RXKSLWW","bundle":"https://pith.science/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/bundle.json","state":"https://pith.science/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QERRDGW7WWPGRYUQTP5RXKSLWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QERRDGW7WWPGRYUQTP5RXKSLWW","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":"bc0f7758e0e0049967a67a2a58f0b697572173904dd9e781128fb6c6e60e7c46","cross_cats_sorted":["cs.SY","eess.SY","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-12T04:32:50Z","title_canon_sha256":"d7022615aadc39cb4dd30ddbab896dd962ea70d962198f2e46a8f839ec58cbf8"},"schema_version":"1.0","source":{"id":"2102.06349","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.06349","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"2102.06349v1","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.06349","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"QERRDGW7WWPG","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"QERRDGW7WWPGRYUQ","created_at":"2026-07-05T02:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"QERRDGW7","created_at":"2026-07-05T02:14:47Z"}],"graph_snapshots":[{"event_id":"sha256:fb65f62f27d68bd7186d1ff4a3aca56cff9df4133c3639777b02f4667324b280","target":"graph","created_at":"2026-07-05T02:14:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2102.06349/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Parameter Estimation (PE) and State Estimation (SE) are the most wide-spread tasks in the system engineering. They need to be done automatically, fast and frequently, as measurements arrive. Deep Learning (DL) holds the promise of tackling the challenge, however in so far, as PE and SE in power systems is concerned, (a) DL did not win trust of the system operators because of the lack of the physics of electricity based, interpretations and (b) DL remained illusive in the operational regimes were data is scarce. To address this, we present a hybrid scheme which embeds physics modeling of power ","authors_text":"Laurent Pagnier, Michael Chertkov","cross_cats":["cs.SY","eess.SY","physics.soc-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-12T04:32:50Z","title":"Physics-Informed Graphical Neural Network for Parameter & State Estimations in Power Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.06349","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":"sha256:3e3345a4ce1d2225d70dbd8948a3310394ceec4254dde714b3c0e3cd76b027fc","target":"record","created_at":"2026-07-05T02:14:47Z","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":"bc0f7758e0e0049967a67a2a58f0b697572173904dd9e781128fb6c6e60e7c46","cross_cats_sorted":["cs.SY","eess.SY","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-12T04:32:50Z","title_canon_sha256":"d7022615aadc39cb4dd30ddbab896dd962ea70d962198f2e46a8f839ec58cbf8"},"schema_version":"1.0","source":{"id":"2102.06349","kind":"arxiv","version":1}},"canonical_sha256":"8123119adfb59e68e2909bfb1baa4bb59bbf89393848b2a3d0d7af459d48a37f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8123119adfb59e68e2909bfb1baa4bb59bbf89393848b2a3d0d7af459d48a37f","first_computed_at":"2026-07-05T02:14:47.242817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:14:47.242817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2EnewM7x922jvXr9cIkhIQKk2sIyShSeCPo2I2f3J9grwGFHnhcCAnj3p3SPi/v5zemegdM+e7txYty9lgILCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:14:47.243370Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.06349","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e3345a4ce1d2225d70dbd8948a3310394ceec4254dde714b3c0e3cd76b027fc","sha256:fb65f62f27d68bd7186d1ff4a3aca56cff9df4133c3639777b02f4667324b280"],"state_sha256":"13619f42bcac287ed2fde481ea20b10c21238421e7f8897c26ba583241eb9183"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JFUJ0D7M3r7HRvP+6omXP+jdC5WgAPcykdjITAr1sRtQWQsk3YurpMHepMfSSLY6vTVTdhglXZPW02nXqrKHDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:18:22.312301Z","bundle_sha256":"ac449c1635f4d49abc2dacd58550b323dba0d1b5993d1af3e96238d4a676ff55"}}