{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FAD2DAMWY6L5G6EICMJNPD6FQQ","short_pith_number":"pith:FAD2DAMW","canonical_record":{"source":{"id":"1407.6927","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-25T15:03:39Z","cross_cats_sorted":[],"title_canon_sha256":"77b3834d7d71b92f5d116595a9e35e13f9c1d8a4c22bb4218d37441113883f49","abstract_canon_sha256":"47b08504e484f0cb0a0b0df86a1cf23906e24a739a97d440a22939d26c78f56a"},"schema_version":"1.0"},"canonical_sha256":"2807a18196c797d378881312d78fc5841d2c721fc0e76e20ae2c6d99ac030c4e","source":{"kind":"arxiv","id":"1407.6927","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6927","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6927v2","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6927","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"FAD2DAMWY6L5","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FAD2DAMWY6L5G6EI","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FAD2DAMW","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FAD2DAMWY6L5G6EICMJNPD6FQQ","target":"record","payload":{"canonical_record":{"source":{"id":"1407.6927","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-25T15:03:39Z","cross_cats_sorted":[],"title_canon_sha256":"77b3834d7d71b92f5d116595a9e35e13f9c1d8a4c22bb4218d37441113883f49","abstract_canon_sha256":"47b08504e484f0cb0a0b0df86a1cf23906e24a739a97d440a22939d26c78f56a"},"schema_version":"1.0"},"canonical_sha256":"2807a18196c797d378881312d78fc5841d2c721fc0e76e20ae2c6d99ac030c4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:53.777924Z","signature_b64":"MmQ2aXgiiqsElJQmBgPpi5hdAta2ynApdTLNZ/lLWLMQ0GJp3IznG1u96KM/UiJo5WELujXRUCAL7xPkCG/2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2807a18196c797d378881312d78fc5841d2c721fc0e76e20ae2c6d99ac030c4e","last_reissued_at":"2026-05-18T02:40:53.777492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:53.777492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.6927","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":"2026-05-18T02:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yT7mkSFFNHjC+LUwy8kiUU/geCkGA5O/VHhDfpZMUJdHI8JivF26dGbaW3PA6OzUrxT+0SyjBJXlwgq85yN6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:49:13.927505Z"},"content_sha256":"5cc8ae708b72f0a9c5df35689efcd79a7af7ebbc942409c9afdf41e80fafe00d","schema_version":"1.0","event_id":"sha256:5cc8ae708b72f0a9c5df35689efcd79a7af7ebbc942409c9afdf41e80fafe00d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FAD2DAMWY6L5G6EICMJNPD6FQQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.N. Gorban","submitted_at":"2014-07-25T15:03:39Z","abstract_excerpt":"We develop a general framework for the discussion of detailed balance and analyse its microscopic background. We find that there should be two additions to the well-known $T$- or $PT$-invariance of the microscopic laws of motion:\n  1. Equilibrium should not spontaneously break the relevant $T$- or $PT$-symmetry.\n  2. The macroscopic processes should be microscopically distinguishable to guarantee persistence of detailed balance in the model reduction from micro- to macrokinetics.\n  We briefly discuss examples of the violation of these rules and the corresponding violation of detailed balance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6927","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":"2026-05-18T02:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EB45xzpoUO0LwWCIXypj9qx/7ov/OvFW7KulnKZJmFRQl1el1OzUjTUzcPz0rOyUlez9lRo9+tUQAhU97GBiCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:49:13.928129Z"},"content_sha256":"83669ec62ed0bd8b9a1fb363a07e095463bc181fdc26bf3e2af9d1386e8c8e14","schema_version":"1.0","event_id":"sha256:83669ec62ed0bd8b9a1fb363a07e095463bc181fdc26bf3e2af9d1386e8c8e14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/bundle.json","state_url":"https://pith.science/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/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":"2026-05-27T16:49:13Z","links":{"resolver":"https://pith.science/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ","bundle":"https://pith.science/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/bundle.json","state":"https://pith.science/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FAD2DAMWY6L5G6EICMJNPD6FQQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FAD2DAMWY6L5G6EICMJNPD6FQQ","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":"47b08504e484f0cb0a0b0df86a1cf23906e24a739a97d440a22939d26c78f56a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-25T15:03:39Z","title_canon_sha256":"77b3834d7d71b92f5d116595a9e35e13f9c1d8a4c22bb4218d37441113883f49"},"schema_version":"1.0","source":{"id":"1407.6927","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6927","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6927v2","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6927","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"FAD2DAMWY6L5","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FAD2DAMWY6L5G6EI","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FAD2DAMW","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:83669ec62ed0bd8b9a1fb363a07e095463bc181fdc26bf3e2af9d1386e8c8e14","target":"graph","created_at":"2026-05-18T02:40:53Z","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 develop a general framework for the discussion of detailed balance and analyse its microscopic background. We find that there should be two additions to the well-known $T$- or $PT$-invariance of the microscopic laws of motion:\n  1. Equilibrium should not spontaneously break the relevant $T$- or $PT$-symmetry.\n  2. The macroscopic processes should be microscopically distinguishable to guarantee persistence of detailed balance in the model reduction from micro- to macrokinetics.\n  We briefly discuss examples of the violation of these rules and the corresponding violation of detailed balance.","authors_text":"A.N. Gorban","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-25T15:03:39Z","title":"Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6927","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":"sha256:5cc8ae708b72f0a9c5df35689efcd79a7af7ebbc942409c9afdf41e80fafe00d","target":"record","created_at":"2026-05-18T02:40:53Z","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":"47b08504e484f0cb0a0b0df86a1cf23906e24a739a97d440a22939d26c78f56a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-25T15:03:39Z","title_canon_sha256":"77b3834d7d71b92f5d116595a9e35e13f9c1d8a4c22bb4218d37441113883f49"},"schema_version":"1.0","source":{"id":"1407.6927","kind":"arxiv","version":2}},"canonical_sha256":"2807a18196c797d378881312d78fc5841d2c721fc0e76e20ae2c6d99ac030c4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2807a18196c797d378881312d78fc5841d2c721fc0e76e20ae2c6d99ac030c4e","first_computed_at":"2026-05-18T02:40:53.777492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:53.777492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmQ2aXgiiqsElJQmBgPpi5hdAta2ynApdTLNZ/lLWLMQ0GJp3IznG1u96KM/UiJo5WELujXRUCAL7xPkCG/2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:53.777924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.6927","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cc8ae708b72f0a9c5df35689efcd79a7af7ebbc942409c9afdf41e80fafe00d","sha256:83669ec62ed0bd8b9a1fb363a07e095463bc181fdc26bf3e2af9d1386e8c8e14"],"state_sha256":"6d0356eda3e21cad77f14f92e980b590dc07cb35c557cdf8e73795be7e608f54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MdqrB/uAJMHdjAURL1YUf37C7RuT174a3EYHO3mj3WR+jewvN8tUDwr45Vy7pen/M3G7jiCeSZyc6PRiHdoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:49:13.931388Z","bundle_sha256":"c1e1ae73d155e4b662ace881133e8438207500de028f00f623080fa69869425d"}}