{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EYNELFMPGXNQCL3LRV2SVJYPZK","short_pith_number":"pith:EYNELFMP","canonical_record":{"source":{"id":"1109.3054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-14T11:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"f97aeee0495ccbf973b0510e7fc0d7f2e95a396bb2f992bdc283b2e747b6da00","abstract_canon_sha256":"22dc303666c5b7045d8a16c34788b62045b4d99972b8f02e6ece4af535f182d1"},"schema_version":"1.0"},"canonical_sha256":"261a45958f35db012f6b8d752aa70fca9603e34747713fc716361a59419bbd6a","source":{"kind":"arxiv","id":"1109.3054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3054","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3054v2","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3054","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"EYNELFMPGXNQ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EYNELFMPGXNQCL3L","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EYNELFMP","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EYNELFMPGXNQCL3LRV2SVJYPZK","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3054","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-14T11:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"f97aeee0495ccbf973b0510e7fc0d7f2e95a396bb2f992bdc283b2e747b6da00","abstract_canon_sha256":"22dc303666c5b7045d8a16c34788b62045b4d99972b8f02e6ece4af535f182d1"},"schema_version":"1.0"},"canonical_sha256":"261a45958f35db012f6b8d752aa70fca9603e34747713fc716361a59419bbd6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:23.783689Z","signature_b64":"xVdf3tDHIhMHnU+JwkW8/q+JqYJtgLZVIqgBeseLBA9XVrXH4sY+BSqaLXdHO1n9QOVMCnbeXSxDbCVcsMzqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"261a45958f35db012f6b8d752aa70fca9603e34747713fc716361a59419bbd6a","last_reissued_at":"2026-05-18T04:08:23.783020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:23.783020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3054","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":"2026-05-18T04:08:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1fg+cUjnp4cY62UyEcH5hIP/DcOyqyR7F+vdcyqT8FChooP0UV3zgTKJXf6TDISEagZ9BIuSoBvFnKmdRu+YBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:24:19.783770Z"},"content_sha256":"ea260b27f371c7c86d506f92edae70fd846b9e7cab066a79004875e53d859128","schema_version":"1.0","event_id":"sha256:ea260b27f371c7c86d506f92edae70fd846b9e7cab066a79004875e53d859128"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EYNELFMPGXNQCL3LRV2SVJYPZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heat capacity in nonequilibrium steady states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Maes, Eliran Boksenbojm, Jiri Pesek, Karel Netocny","submitted_at":"2011-09-14T11:31:24Z","abstract_excerpt":"We show how to extend the concept of heat capacity to nonequilibrium systems. The main idea is to consider the excess heat released by an already dissipative system when slowly changing the environment temperature. We take the framework of Markov jump processes to embed the specific physics of small driven systems and we demonstrate that heat capacities can be consistently defined in the quasistatic limit. Away from thermal equilibrium, an additional term appears to the usual energy-temperature response at constant volume, explicitly in terms of the excess work. In linear order around an equil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3054","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":""},"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":"2026-05-18T04:08:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOTnKHQg9g9iCmy10V/8S0YOvUy2Fo+9sQYCHQ2zOQhmEy2G2YsZg9pdUNS9oQTs7S3aqWYTm5Abh7wYF6FuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:24:19.784560Z"},"content_sha256":"bca2aff8b22b05352fc02a8ddf2f0a4ebb32aba1e41b2bec5d0b5e9b995f4fed","schema_version":"1.0","event_id":"sha256:bca2aff8b22b05352fc02a8ddf2f0a4ebb32aba1e41b2bec5d0b5e9b995f4fed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/bundle.json","state_url":"https://pith.science/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/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":"2026-05-31T09:24:19Z","links":{"resolver":"https://pith.science/pith/EYNELFMPGXNQCL3LRV2SVJYPZK","bundle":"https://pith.science/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/bundle.json","state":"https://pith.science/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EYNELFMPGXNQCL3LRV2SVJYPZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EYNELFMPGXNQCL3LRV2SVJYPZK","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":"22dc303666c5b7045d8a16c34788b62045b4d99972b8f02e6ece4af535f182d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-14T11:31:24Z","title_canon_sha256":"f97aeee0495ccbf973b0510e7fc0d7f2e95a396bb2f992bdc283b2e747b6da00"},"schema_version":"1.0","source":{"id":"1109.3054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3054","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3054v2","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3054","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"EYNELFMPGXNQ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EYNELFMPGXNQCL3L","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EYNELFMP","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:bca2aff8b22b05352fc02a8ddf2f0a4ebb32aba1e41b2bec5d0b5e9b995f4fed","target":"graph","created_at":"2026-05-18T04:08:23Z","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":"We show how to extend the concept of heat capacity to nonequilibrium systems. The main idea is to consider the excess heat released by an already dissipative system when slowly changing the environment temperature. We take the framework of Markov jump processes to embed the specific physics of small driven systems and we demonstrate that heat capacities can be consistently defined in the quasistatic limit. Away from thermal equilibrium, an additional term appears to the usual energy-temperature response at constant volume, explicitly in terms of the excess work. In linear order around an equil","authors_text":"Christian Maes, Eliran Boksenbojm, Jiri Pesek, Karel Netocny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-14T11:31:24Z","title":"Heat capacity in nonequilibrium steady states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3054","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:ea260b27f371c7c86d506f92edae70fd846b9e7cab066a79004875e53d859128","target":"record","created_at":"2026-05-18T04:08:23Z","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":"22dc303666c5b7045d8a16c34788b62045b4d99972b8f02e6ece4af535f182d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-14T11:31:24Z","title_canon_sha256":"f97aeee0495ccbf973b0510e7fc0d7f2e95a396bb2f992bdc283b2e747b6da00"},"schema_version":"1.0","source":{"id":"1109.3054","kind":"arxiv","version":2}},"canonical_sha256":"261a45958f35db012f6b8d752aa70fca9603e34747713fc716361a59419bbd6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"261a45958f35db012f6b8d752aa70fca9603e34747713fc716361a59419bbd6a","first_computed_at":"2026-05-18T04:08:23.783020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.783020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xVdf3tDHIhMHnU+JwkW8/q+JqYJtgLZVIqgBeseLBA9XVrXH4sY+BSqaLXdHO1n9QOVMCnbeXSxDbCVcsMzqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.783689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea260b27f371c7c86d506f92edae70fd846b9e7cab066a79004875e53d859128","sha256:bca2aff8b22b05352fc02a8ddf2f0a4ebb32aba1e41b2bec5d0b5e9b995f4fed"],"state_sha256":"4dbac49568bd590985d8d54f4c6fc91493cfe6a0d389edbcc27a0e0b7018823f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WNPNMUfCR/aHWWYTQT0ZO2t63GjrtEPAq5gGVWcraGlKii/BGVjU4XXEwZtwEenLJn6R+GaK1ELrBeHUu7CkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:24:19.788695Z","bundle_sha256":"90f221e47c87f7a7718d7a69a4a4310f04d2eaea7bc26a571f937bc265e17ebc"}}