{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KHP7A67UZXXHXTTXYTE5UF5URM","short_pith_number":"pith:KHP7A67U","canonical_record":{"source":{"id":"1810.00450","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-09-30T19:03:08Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"title_canon_sha256":"764ac449b88ab6ba45b133b55877d853186e5ecfeeae0e5c0bbae6d2d84612d9","abstract_canon_sha256":"1c087681b5ddea60564d975bc5a84db79aa134062803db601d86a62845c09024"},"schema_version":"1.0"},"canonical_sha256":"51dff07bf4cdee7bce77c4c9da17b48b28466cd2c5612e22a07360051738b1cb","source":{"kind":"arxiv","id":"1810.00450","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00450","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00450v2","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00450","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"KHP7A67UZXXH","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_16","alias_value":"KHP7A67UZXXHXTTX","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_8","alias_value":"KHP7A67U","created_at":"2026-06-04T20:13:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KHP7A67UZXXHXTTXYTE5UF5URM","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00450","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-09-30T19:03:08Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"title_canon_sha256":"764ac449b88ab6ba45b133b55877d853186e5ecfeeae0e5c0bbae6d2d84612d9","abstract_canon_sha256":"1c087681b5ddea60564d975bc5a84db79aa134062803db601d86a62845c09024"},"schema_version":"1.0"},"canonical_sha256":"51dff07bf4cdee7bce77c4c9da17b48b28466cd2c5612e22a07360051738b1cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:13:24.207692Z","signature_b64":"YMCW4+98ra7tb2J5zH6lAWDsT15POg2GYx6qr0BXa6iKmrVGbrWHDxP6wIvAvD1x/iS5CH7nZaZmss0N2mZwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51dff07bf4cdee7bce77c4c9da17b48b28466cd2c5612e22a07360051738b1cb","last_reissued_at":"2026-06-04T20:13:24.207255Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:13:24.207255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00450","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T20:13:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FVwoi81yJSWBZ6QKIA6VfPS51nMDE6G0meLLOFPj0/ceBLw8aS68Wg4n4Y6AWBbxjyXux7n619bC2swS3ga/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:46:19.404728Z"},"content_sha256":"7c8cc780e741cb3cf90457842d4d2bceb3bbd5f1fb5ff3ba20cb018bb9e6a71d","schema_version":"1.0","event_id":"sha256:7c8cc780e741cb3cf90457842d4d2bceb3bbd5f1fb5ff3ba20cb018bb9e6a71d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KHP7A67UZXXHXTTXYTE5UF5URM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean Field Control for Efficient Mixing of Energy Loads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"primary_cat":"eess.SY","authors_text":"David M\\'etivier, Michael Chertkov","submitted_at":"2018-09-30T19:03:08Z","abstract_excerpt":"We pose an engineering challenge of controlling an Ensemble of Energy Devices via coordinated, implementation-light and randomized on/off switching as a problem in Non-Equilibrium Statistical Mechanics. We show that Mean Field Control} with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the Demand Response regime, i.e. transition to a statistical steady state, significantly faster than in the case of the fixed feedback. Moreover when the nonlinearity is suf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00450","kind":"arxiv","version":2},"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/1810.00450/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":"2026-06-04T20:13:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V6Nmk9gzFcnKzjI3Oo/utRyTtWFN4vW+gPihsaB7gVE2Rb+Qxu5DQ+lBqn/Lg0GnotkBW3KflUBYQ32qIe3fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:46:19.405101Z"},"content_sha256":"6de22f365139f93a3916927025e1aac834aadfa348423d74f2bed888eb3433be","schema_version":"1.0","event_id":"sha256:6de22f365139f93a3916927025e1aac834aadfa348423d74f2bed888eb3433be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHP7A67UZXXHXTTXYTE5UF5URM/bundle.json","state_url":"https://pith.science/pith/KHP7A67UZXXHXTTXYTE5UF5URM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHP7A67UZXXHXTTXYTE5UF5URM/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":"2026-07-05T04:46:19Z","links":{"resolver":"https://pith.science/pith/KHP7A67UZXXHXTTXYTE5UF5URM","bundle":"https://pith.science/pith/KHP7A67UZXXHXTTXYTE5UF5URM/bundle.json","state":"https://pith.science/pith/KHP7A67UZXXHXTTXYTE5UF5URM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHP7A67UZXXHXTTXYTE5UF5URM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KHP7A67UZXXHXTTXYTE5UF5URM","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":"1c087681b5ddea60564d975bc5a84db79aa134062803db601d86a62845c09024","cross_cats_sorted":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-09-30T19:03:08Z","title_canon_sha256":"764ac449b88ab6ba45b133b55877d853186e5ecfeeae0e5c0bbae6d2d84612d9"},"schema_version":"1.0","source":{"id":"1810.00450","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00450","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00450v2","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00450","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"KHP7A67UZXXH","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_16","alias_value":"KHP7A67UZXXHXTTX","created_at":"2026-06-04T20:13:24Z"},{"alias_kind":"pith_short_8","alias_value":"KHP7A67U","created_at":"2026-06-04T20:13:24Z"}],"graph_snapshots":[{"event_id":"sha256:6de22f365139f93a3916927025e1aac834aadfa348423d74f2bed888eb3433be","target":"graph","created_at":"2026-06-04T20:13:24Z","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/1810.00450/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We pose an engineering challenge of controlling an Ensemble of Energy Devices via coordinated, implementation-light and randomized on/off switching as a problem in Non-Equilibrium Statistical Mechanics. We show that Mean Field Control} with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the Demand Response regime, i.e. transition to a statistical steady state, significantly faster than in the case of the fixed feedback. Moreover when the nonlinearity is suf","authors_text":"David M\\'etivier, Michael Chertkov","cross_cats":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-09-30T19:03:08Z","title":"Mean Field Control for Efficient Mixing of Energy Loads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00450","kind":"arxiv","version":2},"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":"sha256:7c8cc780e741cb3cf90457842d4d2bceb3bbd5f1fb5ff3ba20cb018bb9e6a71d","target":"record","created_at":"2026-06-04T20:13:24Z","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":"1c087681b5ddea60564d975bc5a84db79aa134062803db601d86a62845c09024","cross_cats_sorted":["cond-mat.stat-mech","cs.SY","nlin.AO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2018-09-30T19:03:08Z","title_canon_sha256":"764ac449b88ab6ba45b133b55877d853186e5ecfeeae0e5c0bbae6d2d84612d9"},"schema_version":"1.0","source":{"id":"1810.00450","kind":"arxiv","version":2}},"canonical_sha256":"51dff07bf4cdee7bce77c4c9da17b48b28466cd2c5612e22a07360051738b1cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51dff07bf4cdee7bce77c4c9da17b48b28466cd2c5612e22a07360051738b1cb","first_computed_at":"2026-06-04T20:13:24.207255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:24.207255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMCW4+98ra7tb2J5zH6lAWDsT15POg2GYx6qr0BXa6iKmrVGbrWHDxP6wIvAvD1x/iS5CH7nZaZmss0N2mZwCg==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:24.207692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00450","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c8cc780e741cb3cf90457842d4d2bceb3bbd5f1fb5ff3ba20cb018bb9e6a71d","sha256:6de22f365139f93a3916927025e1aac834aadfa348423d74f2bed888eb3433be"],"state_sha256":"c12d8adbd2aaf40dd244a756e05ea97763451c16595bfec7df7218d42129a202"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nfvbwBq6L8Nm5rRfUBwS/arbb3qNacWLWeoF4nSRV+aNQXwqY0MgF8Dk4UiIqHXuTa47kmGFIiZLYsOD+RoWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T04:46:19.407138Z","bundle_sha256":"7abbe6426df1eca8dd48fc84ba010247e222712436853f1af85599fc5f0d9c55"}}