{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:R2J6IN6VH5J6JB3QPWY4CUCQWG","short_pith_number":"pith:R2J6IN6V","canonical_record":{"source":{"id":"1703.04722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-14T20:57:49Z","cross_cats_sorted":[],"title_canon_sha256":"385d6d6dfd3379670c02df683d358c123f8c2084e774f1499fa2b8a59194462a","abstract_canon_sha256":"f16cd55b4218abd4ed22d685bcf2dac4cfc1eed057c024eeddd9e512c1c2f652"},"schema_version":"1.0"},"canonical_sha256":"8e93e437d53f53e487707db1c15050b1ad4cf695028de341c666e51124ae8f95","source":{"kind":"arxiv","id":"1703.04722","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04722","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04722v1","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04722","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"pith_short_12","alias_value":"R2J6IN6VH5J6","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2J6IN6VH5J6JB3Q","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2J6IN6V","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:R2J6IN6VH5J6JB3QPWY4CUCQWG","target":"record","payload":{"canonical_record":{"source":{"id":"1703.04722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-14T20:57:49Z","cross_cats_sorted":[],"title_canon_sha256":"385d6d6dfd3379670c02df683d358c123f8c2084e774f1499fa2b8a59194462a","abstract_canon_sha256":"f16cd55b4218abd4ed22d685bcf2dac4cfc1eed057c024eeddd9e512c1c2f652"},"schema_version":"1.0"},"canonical_sha256":"8e93e437d53f53e487707db1c15050b1ad4cf695028de341c666e51124ae8f95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:07.267205Z","signature_b64":"HxsHESLM8D7ieLTDcprupKwZ2/B8SSVuxaTHg5rZly0+nL5ZYhBuYjmo2C041Zrzvgmz2bP3d7ks9mK2Skz4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e93e437d53f53e487707db1c15050b1ad4cf695028de341c666e51124ae8f95","last_reissued_at":"2026-05-18T00:41:07.266568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:07.266568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.04722","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":"2026-05-18T00:41:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tjDO5SjHz9QUNFG75pqQSXleknAjfJle4ow2EIQdl04ARL7/ZgRGxCRMH2M0wNO0+bG8FXD+wmMiPJKjny9NAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:39:18.615529Z"},"content_sha256":"7253deb4f508cf6cdaa2e5090aa6e955c221a8e2650aefb8691002b641780601","schema_version":"1.0","event_id":"sha256:7253deb4f508cf6cdaa2e5090aa6e955c221a8e2650aefb8691002b641780601"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:R2J6IN6VH5J6JB3QPWY4CUCQWG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimum energetic cost to maintain a target nonequilibrium state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jeremy L. England, Jordan M. Horowitz, Kevin Zhou","submitted_at":"2017-03-14T20:57:49Z","abstract_excerpt":"In the absence of external driving, a system exposed to thermal fluctuations will relax to equilibrium. However, the constant input of work makes it possible to counteract this relaxation, and maintain the system in a nonequilibrium steady state. In this Article, we use the stochastic thermodynamics of Markov jump processes to compute the minimum rate at which energy must be supplied and dissipated to maintain an arbitrary nonequilibrium distribution in a given energy landscape. This lower bound depends on two factors: the undriven probability current in the equilibrium state, and the distance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04722","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":"2026-05-18T00:41:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vlr1qcB9H4hWmXDKyy5krLSqEWIOe92JBODhjcIUuiLqX1wV1uhm1bPohX5/k6/HnSS2M9/KHD6Svlya+tzzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:39:18.616196Z"},"content_sha256":"002da720f5b011ffdcea14d24a38c07400885017a5ae6619c8d647566a3df24a","schema_version":"1.0","event_id":"sha256:002da720f5b011ffdcea14d24a38c07400885017a5ae6619c8d647566a3df24a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/bundle.json","state_url":"https://pith.science/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/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":"2026-06-05T06:39:18Z","links":{"resolver":"https://pith.science/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG","bundle":"https://pith.science/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/bundle.json","state":"https://pith.science/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2J6IN6VH5J6JB3QPWY4CUCQWG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:R2J6IN6VH5J6JB3QPWY4CUCQWG","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":"f16cd55b4218abd4ed22d685bcf2dac4cfc1eed057c024eeddd9e512c1c2f652","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-14T20:57:49Z","title_canon_sha256":"385d6d6dfd3379670c02df683d358c123f8c2084e774f1499fa2b8a59194462a"},"schema_version":"1.0","source":{"id":"1703.04722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04722","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04722v1","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04722","created_at":"2026-05-18T00:41:07Z"},{"alias_kind":"pith_short_12","alias_value":"R2J6IN6VH5J6","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2J6IN6VH5J6JB3Q","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2J6IN6V","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:002da720f5b011ffdcea14d24a38c07400885017a5ae6619c8d647566a3df24a","target":"graph","created_at":"2026-05-18T00:41:07Z","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":"In the absence of external driving, a system exposed to thermal fluctuations will relax to equilibrium. However, the constant input of work makes it possible to counteract this relaxation, and maintain the system in a nonequilibrium steady state. In this Article, we use the stochastic thermodynamics of Markov jump processes to compute the minimum rate at which energy must be supplied and dissipated to maintain an arbitrary nonequilibrium distribution in a given energy landscape. This lower bound depends on two factors: the undriven probability current in the equilibrium state, and the distance","authors_text":"Jeremy L. England, Jordan M. Horowitz, Kevin Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-14T20:57:49Z","title":"Minimum energetic cost to maintain a target nonequilibrium state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04722","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":"sha256:7253deb4f508cf6cdaa2e5090aa6e955c221a8e2650aefb8691002b641780601","target":"record","created_at":"2026-05-18T00:41:07Z","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":"f16cd55b4218abd4ed22d685bcf2dac4cfc1eed057c024eeddd9e512c1c2f652","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-14T20:57:49Z","title_canon_sha256":"385d6d6dfd3379670c02df683d358c123f8c2084e774f1499fa2b8a59194462a"},"schema_version":"1.0","source":{"id":"1703.04722","kind":"arxiv","version":1}},"canonical_sha256":"8e93e437d53f53e487707db1c15050b1ad4cf695028de341c666e51124ae8f95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e93e437d53f53e487707db1c15050b1ad4cf695028de341c666e51124ae8f95","first_computed_at":"2026-05-18T00:41:07.266568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:07.266568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HxsHESLM8D7ieLTDcprupKwZ2/B8SSVuxaTHg5rZly0+nL5ZYhBuYjmo2C041Zrzvgmz2bP3d7ks9mK2Skz4Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:07.267205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7253deb4f508cf6cdaa2e5090aa6e955c221a8e2650aefb8691002b641780601","sha256:002da720f5b011ffdcea14d24a38c07400885017a5ae6619c8d647566a3df24a"],"state_sha256":"21b2a85563c7979217ce81fe9cfb39f08b3cb02dd0177128f7cda26944b434c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UInxwYAjzl/mqN0K93ylqHMFJb6niSZYe4O4B6E8BgJC7w1YIHz3peZPjy/8NDJmNkoErCHNLj+LHAQTZ86+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:39:18.620079Z","bundle_sha256":"7d171ffb31aa1fe4e44ee7be6748c04cbd37ea6fc7566baa063db3b0eeb0f0ec"}}