{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:X2YWG7FDRQPNRGPGBDHVJQKHB6","short_pith_number":"pith:X2YWG7FD","canonical_record":{"source":{"id":"1909.10988","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-09-24T15:11:30Z","cross_cats_sorted":[],"title_canon_sha256":"d79842e39acc3e79afe5a9490161496c808a00ff752546255017aef3fdc778ca","abstract_canon_sha256":"10567bbe27b16cd155f1740da950bb5ca071b5dfa3f6785561bdbb5820c58666"},"schema_version":"1.0"},"canonical_sha256":"beb1637ca38c1ed899e608cf54c1470fb2487ffd580b40ff82dad44bfd3a7e6b","source":{"kind":"arxiv","id":"1909.10988","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.10988","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"arxiv_version","alias_value":"1909.10988v2","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.10988","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_12","alias_value":"X2YWG7FDRQPN","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_16","alias_value":"X2YWG7FDRQPNRGPG","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_8","alias_value":"X2YWG7FD","created_at":"2026-07-05T00:34:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:X2YWG7FDRQPNRGPGBDHVJQKHB6","target":"record","payload":{"canonical_record":{"source":{"id":"1909.10988","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-09-24T15:11:30Z","cross_cats_sorted":[],"title_canon_sha256":"d79842e39acc3e79afe5a9490161496c808a00ff752546255017aef3fdc778ca","abstract_canon_sha256":"10567bbe27b16cd155f1740da950bb5ca071b5dfa3f6785561bdbb5820c58666"},"schema_version":"1.0"},"canonical_sha256":"beb1637ca38c1ed899e608cf54c1470fb2487ffd580b40ff82dad44bfd3a7e6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:34:18.135383Z","signature_b64":"wWYgbPFSPcf+HqqPAP4/qPsaSfC6TYcg8aalbdnusl36L29Qxhkvxbe29HT/nOwbxEEmAiBvgvidGKHm8iz2Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"beb1637ca38c1ed899e608cf54c1470fb2487ffd580b40ff82dad44bfd3a7e6b","last_reissued_at":"2026-07-05T00:34:18.134842Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:34:18.134842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.10988","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":"2026-07-05T00:34:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2fdj/+WlkYf6A13GTYE1aS4lgNh2xpotuJ+O3neqVuqjOjxyEV2ofY6PUIYc0lMfRqmyaOfvzgWfN4DHMNxhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T19:21:18.616608Z"},"content_sha256":"eb47dd4a1c8e784e313db0e022912cabc96b8c69aa81209b053c6db380a08bdd","schema_version":"1.0","event_id":"sha256:eb47dd4a1c8e784e313db0e022912cabc96b8c69aa81209b053c6db380a08bdd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:X2YWG7FDRQPNRGPGBDHVJQKHB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamic uncertainty relations under arbitrary control protocols","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Tan Van Vu, Yoshihiko Hasegawa","submitted_at":"2019-09-24T15:11:30Z","abstract_excerpt":"Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and entropy production have been found in various stochastic systems. Herein, we study the thermodynamic uncertainty relations for Langevin systems driven by an external control protocol. Using information-theoretic techniques, we derive the uncertainty relations for arbitrary observables satisfying a scaling condition in both overdamped and underdamped regimes. We prove that the observable fluctuation is constrained by both entropy production and a kinetic term. The derived bounds are applicable to both cu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.10988","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/1909.10988/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":"2026-07-05T00:34:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gYahxtfh6qADV6fce/GB5iZhclu/tRIh7DFWNFNh9e2gFq1QTjCVe9sUx1WtCtLd/KFIvfMD/GmDd9hzaSVsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T19:21:18.617163Z"},"content_sha256":"79c00cfc00b83511d5cb3af461f97c611873dbe175e596880feb4a8e54ae3ac1","schema_version":"1.0","event_id":"sha256:79c00cfc00b83511d5cb3af461f97c611873dbe175e596880feb4a8e54ae3ac1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/bundle.json","state_url":"https://pith.science/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/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":"2026-08-18T19:21:18Z","links":{"resolver":"https://pith.science/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6","bundle":"https://pith.science/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/bundle.json","state":"https://pith.science/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2YWG7FDRQPNRGPGBDHVJQKHB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:X2YWG7FDRQPNRGPGBDHVJQKHB6","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":"10567bbe27b16cd155f1740da950bb5ca071b5dfa3f6785561bdbb5820c58666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-09-24T15:11:30Z","title_canon_sha256":"d79842e39acc3e79afe5a9490161496c808a00ff752546255017aef3fdc778ca"},"schema_version":"1.0","source":{"id":"1909.10988","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.10988","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"arxiv_version","alias_value":"1909.10988v2","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.10988","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_12","alias_value":"X2YWG7FDRQPN","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_16","alias_value":"X2YWG7FDRQPNRGPG","created_at":"2026-07-05T00:34:18Z"},{"alias_kind":"pith_short_8","alias_value":"X2YWG7FD","created_at":"2026-07-05T00:34:18Z"}],"graph_snapshots":[{"event_id":"sha256:79c00cfc00b83511d5cb3af461f97c611873dbe175e596880feb4a8e54ae3ac1","target":"graph","created_at":"2026-07-05T00:34:18Z","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/1909.10988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Thermodynamic uncertainty relations quantifying a trade-off between current fluctuation and entropy production have been found in various stochastic systems. Herein, we study the thermodynamic uncertainty relations for Langevin systems driven by an external control protocol. Using information-theoretic techniques, we derive the uncertainty relations for arbitrary observables satisfying a scaling condition in both overdamped and underdamped regimes. We prove that the observable fluctuation is constrained by both entropy production and a kinetic term. The derived bounds are applicable to both cu","authors_text":"Tan Van Vu, Yoshihiko Hasegawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-09-24T15:11:30Z","title":"Thermodynamic uncertainty relations under arbitrary control protocols"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.10988","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:eb47dd4a1c8e784e313db0e022912cabc96b8c69aa81209b053c6db380a08bdd","target":"record","created_at":"2026-07-05T00:34:18Z","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":"10567bbe27b16cd155f1740da950bb5ca071b5dfa3f6785561bdbb5820c58666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-09-24T15:11:30Z","title_canon_sha256":"d79842e39acc3e79afe5a9490161496c808a00ff752546255017aef3fdc778ca"},"schema_version":"1.0","source":{"id":"1909.10988","kind":"arxiv","version":2}},"canonical_sha256":"beb1637ca38c1ed899e608cf54c1470fb2487ffd580b40ff82dad44bfd3a7e6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"beb1637ca38c1ed899e608cf54c1470fb2487ffd580b40ff82dad44bfd3a7e6b","first_computed_at":"2026-07-05T00:34:18.134842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:34:18.134842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wWYgbPFSPcf+HqqPAP4/qPsaSfC6TYcg8aalbdnusl36L29Qxhkvxbe29HT/nOwbxEEmAiBvgvidGKHm8iz2Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:34:18.135383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.10988","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb47dd4a1c8e784e313db0e022912cabc96b8c69aa81209b053c6db380a08bdd","sha256:79c00cfc00b83511d5cb3af461f97c611873dbe175e596880feb4a8e54ae3ac1"],"state_sha256":"c9d29c74abc3e35482683f4f4982b324d284148999029a9ca2eb9369969fcc95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jo9gMwCiOm6Dwt1OJvymoZIJqmD1CLHaLlEhEQ6zPMpwbgMwDIvs4w51n1hEH4KXX5iXQaUX73MIZuwt4XqNDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T19:21:18.624572Z","bundle_sha256":"2529ce5a345dcd86c752dce6444e4fb307a20a0f77c53f9eb08f61bc1ef784c4"}}