{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YCFUUHY6MBID2EPM36H53XOEVR","short_pith_number":"pith:YCFUUHY6","canonical_record":{"source":{"id":"1402.3496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-14T15:30:45Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"title_canon_sha256":"74dd330ba9a6958375f9a7bfb1d80211ab0f17426777a609aeb1e5fe38e7ed5a","abstract_canon_sha256":"69fee59589afeae233ebba827d3f58fdbcfe3f74b0b48c34e06683ac59b36af2"},"schema_version":"1.0"},"canonical_sha256":"c08b4a1f1e60503d11ecdf8fddddc4ac48152219dae8a68d8b91c3c80675ac9e","source":{"kind":"arxiv","id":"1402.3496","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3496","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3496v1","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3496","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"YCFUUHY6MBID","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YCFUUHY6MBID2EPM","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YCFUUHY6","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YCFUUHY6MBID2EPM36H53XOEVR","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-14T15:30:45Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"title_canon_sha256":"74dd330ba9a6958375f9a7bfb1d80211ab0f17426777a609aeb1e5fe38e7ed5a","abstract_canon_sha256":"69fee59589afeae233ebba827d3f58fdbcfe3f74b0b48c34e06683ac59b36af2"},"schema_version":"1.0"},"canonical_sha256":"c08b4a1f1e60503d11ecdf8fddddc4ac48152219dae8a68d8b91c3c80675ac9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:54.239966Z","signature_b64":"iEQZV/FIaJwU1KRsF7EjsO8Tp5KbIGZiUONVvf54eWCXk8/5EbvknzxswrYE4Y1dLmQ6RBJTGSBjJEvB5qCBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c08b4a1f1e60503d11ecdf8fddddc4ac48152219dae8a68d8b91c3c80675ac9e","last_reissued_at":"2026-05-18T00:40:54.239440Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:54.239440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3496","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":"2026-05-18T00:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2A2Rw7qLFEhWNxSmdZHgtSrOrQ/JUEzGGy9HQnfHmzoKFs4BT/+MQVBHUmh/+4ArY2biHu+08vNwYu8P6JaLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:00:22.389808Z"},"content_sha256":"1a5471153e754c302dcbd6c35d79068f5f1c7f831cd0060d38aa2ab1a51da5cc","schema_version":"1.0","event_id":"sha256:1a5471153e754c302dcbd6c35d79068f5f1c7f831cd0060d38aa2ab1a51da5cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YCFUUHY6MBID2EPM36H53XOEVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Work Cost of Thermal Operations in Quantum and Nano Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Joseph M. Renes","submitted_at":"2014-02-14T15:30:45Z","abstract_excerpt":"Adopting a resource theory framework of thermodynamics for quantum and nano systems pioneered by Janzing et al. [Int. J. Th. Phys. 39, 2717 (2000)], we formulate the cost in useful work of transforming one resource state into another as a linear program of convex optimization. This approach is based on the characterization of thermal quasiorder given by Janzing et al. and later by Horodecki and Oppenheim [Nat. Comm. 4, 2059 (2013)]. Both characterizations are related to an extended version of majorization studied by Ruch, Schranner, and Seligman under the name mixing distance [J. Chem. Phys. 6"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3496","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":"2026-05-18T00:40:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BFz0Mi5uAdPi5EmBK6Dz7c06tx2TkErE9L58umciSpGnFMz3x/cvMZMdNmrVPc8cB8chanV8v1kUuMzv7P72DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:00:22.390485Z"},"content_sha256":"de9e3cc27ff31f7066ebd74afdf543b6e138f0b0ed493a56b79143ad2dcdd3ef","schema_version":"1.0","event_id":"sha256:de9e3cc27ff31f7066ebd74afdf543b6e138f0b0ed493a56b79143ad2dcdd3ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YCFUUHY6MBID2EPM36H53XOEVR/bundle.json","state_url":"https://pith.science/pith/YCFUUHY6MBID2EPM36H53XOEVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YCFUUHY6MBID2EPM36H53XOEVR/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":"2026-05-28T03:00:22Z","links":{"resolver":"https://pith.science/pith/YCFUUHY6MBID2EPM36H53XOEVR","bundle":"https://pith.science/pith/YCFUUHY6MBID2EPM36H53XOEVR/bundle.json","state":"https://pith.science/pith/YCFUUHY6MBID2EPM36H53XOEVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YCFUUHY6MBID2EPM36H53XOEVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YCFUUHY6MBID2EPM36H53XOEVR","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":"69fee59589afeae233ebba827d3f58fdbcfe3f74b0b48c34e06683ac59b36af2","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-14T15:30:45Z","title_canon_sha256":"74dd330ba9a6958375f9a7bfb1d80211ab0f17426777a609aeb1e5fe38e7ed5a"},"schema_version":"1.0","source":{"id":"1402.3496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3496","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3496v1","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3496","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"YCFUUHY6MBID","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YCFUUHY6MBID2EPM","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YCFUUHY6","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:de9e3cc27ff31f7066ebd74afdf543b6e138f0b0ed493a56b79143ad2dcdd3ef","target":"graph","created_at":"2026-05-18T00:40:54Z","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":"Adopting a resource theory framework of thermodynamics for quantum and nano systems pioneered by Janzing et al. [Int. J. Th. Phys. 39, 2717 (2000)], we formulate the cost in useful work of transforming one resource state into another as a linear program of convex optimization. This approach is based on the characterization of thermal quasiorder given by Janzing et al. and later by Horodecki and Oppenheim [Nat. Comm. 4, 2059 (2013)]. Both characterizations are related to an extended version of majorization studied by Ruch, Schranner, and Seligman under the name mixing distance [J. Chem. Phys. 6","authors_text":"Joseph M. Renes","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-14T15:30:45Z","title":"Work Cost of Thermal Operations in Quantum and Nano Thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3496","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":"sha256:1a5471153e754c302dcbd6c35d79068f5f1c7f831cd0060d38aa2ab1a51da5cc","target":"record","created_at":"2026-05-18T00:40:54Z","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":"69fee59589afeae233ebba827d3f58fdbcfe3f74b0b48c34e06683ac59b36af2","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-14T15:30:45Z","title_canon_sha256":"74dd330ba9a6958375f9a7bfb1d80211ab0f17426777a609aeb1e5fe38e7ed5a"},"schema_version":"1.0","source":{"id":"1402.3496","kind":"arxiv","version":1}},"canonical_sha256":"c08b4a1f1e60503d11ecdf8fddddc4ac48152219dae8a68d8b91c3c80675ac9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c08b4a1f1e60503d11ecdf8fddddc4ac48152219dae8a68d8b91c3c80675ac9e","first_computed_at":"2026-05-18T00:40:54.239440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:54.239440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEQZV/FIaJwU1KRsF7EjsO8Tp5KbIGZiUONVvf54eWCXk8/5EbvknzxswrYE4Y1dLmQ6RBJTGSBjJEvB5qCBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:54.239966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a5471153e754c302dcbd6c35d79068f5f1c7f831cd0060d38aa2ab1a51da5cc","sha256:de9e3cc27ff31f7066ebd74afdf543b6e138f0b0ed493a56b79143ad2dcdd3ef"],"state_sha256":"4d091be27bde41b1ecd15e00314eaca9b959db6634cb6a6a2b39100582ecaeb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cFFTYVphA7qaS52HtJMlPjw256ZVKfdpjOoSyO4Mtlp9581v7wazRSDTLfu4YWdC5gBANb8nTDtiLfiSZx2NDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:00:22.393757Z","bundle_sha256":"82678cb310ea740745e4e07dd57805ecab88ffc1412a2e781044cf5175b499e4"}}