{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:BVR4PR5WA5USJ4V6MC2JEUIKOB","short_pith_number":"pith:BVR4PR5W","canonical_record":{"source":{"id":"2606.13504","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T15:52:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"489bf0e198c28e6d5d8f751ce7d3aa4676f821772e3055002d2e1358c7dfd1d1","abstract_canon_sha256":"2b77f1076b4e5fce2219fce9c7d7aa4f03bebd3b3b68d7a6e508df5c5289fcf5"},"schema_version":"1.0"},"canonical_sha256":"0d63c7c7b6076924f2be60b492510a7051ff824f711c639e0105dd886cd7bfcc","source":{"kind":"arxiv","id":"2606.13504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13504","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13504v1","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13504","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_12","alias_value":"BVR4PR5WA5US","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_16","alias_value":"BVR4PR5WA5USJ4V6","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_8","alias_value":"BVR4PR5W","created_at":"2026-06-12T01:10:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:BVR4PR5WA5USJ4V6MC2JEUIKOB","target":"record","payload":{"canonical_record":{"source":{"id":"2606.13504","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T15:52:40Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"489bf0e198c28e6d5d8f751ce7d3aa4676f821772e3055002d2e1358c7dfd1d1","abstract_canon_sha256":"2b77f1076b4e5fce2219fce9c7d7aa4f03bebd3b3b68d7a6e508df5c5289fcf5"},"schema_version":"1.0"},"canonical_sha256":"0d63c7c7b6076924f2be60b492510a7051ff824f711c639e0105dd886cd7bfcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:10:07.276121Z","signature_b64":"QUy8Lr1fNhZRwdBuC9SUUXPxvvNDfXgkS5zL/ro5Qi/xlxdMztavSJ5CHP3ImqKX2MSHqqvxFXqWOoOR1n71DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d63c7c7b6076924f2be60b492510a7051ff824f711c639e0105dd886cd7bfcc","last_reissued_at":"2026-06-12T01:10:07.275265Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:10:07.275265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.13504","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":"2026-06-12T01:10:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LdvMy2sr50mY94A4b40+sw8lhIRl1eWdzUGQFTty/Uhl+X4GPdIhjcOdTyRajqMcQdatHCMZLbIaWZe4QB6mAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:43:12.863307Z"},"content_sha256":"c3e282dd6197b8669014e53afa196fac7ef8a366cfd859395b1aa615a9f0834c","schema_version":"1.0","event_id":"sha256:c3e282dd6197b8669014e53afa196fac7ef8a366cfd859395b1aa615a9f0834c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:BVR4PR5WA5USJ4V6MC2JEUIKOB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A refined thermodynamic analysis of nonsecular master equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Cyril Elouard, Mohamed Boubakour, Talia Szikman","submitted_at":"2026-06-11T15:52:40Z","abstract_excerpt":"We present a systematic thermodynamic analysis of nonsecular master equations. We consider master equations resulting either from the partial secular and the geometric-arithmetic approximations, two approximations ensuring the positivity of the system's dynamics when some of its transition frequencies are too small to enable the full secular approximation. Both cause the system to relax towards a steady state which is not the Gibbs state of its bare Hamiltonian. Nonetheless, we build a unified, consistent thermodynamic framework for those dynamics. Starting from a microscopic expression of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13504","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13504/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":"2026-06-12T01:10:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8bF1+IZnUV7MFi6oE9wq1OB7bVj9R7vuamB2pydUuf37oIlfLsuucoayO2u42ds7G9zLQU6rlfqxdkCf2tQ1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:43:12.863940Z"},"content_sha256":"698eb75754c4716dd804b5815d05165edb67104d914b625115e455e48418d540","schema_version":"1.0","event_id":"sha256:698eb75754c4716dd804b5815d05165edb67104d914b625115e455e48418d540"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/bundle.json","state_url":"https://pith.science/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/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":"2026-07-05T11:43:12Z","links":{"resolver":"https://pith.science/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB","bundle":"https://pith.science/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/bundle.json","state":"https://pith.science/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVR4PR5WA5USJ4V6MC2JEUIKOB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BVR4PR5WA5USJ4V6MC2JEUIKOB","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":"2b77f1076b4e5fce2219fce9c7d7aa4f03bebd3b3b68d7a6e508df5c5289fcf5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T15:52:40Z","title_canon_sha256":"489bf0e198c28e6d5d8f751ce7d3aa4676f821772e3055002d2e1358c7dfd1d1"},"schema_version":"1.0","source":{"id":"2606.13504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13504","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13504v1","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13504","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_12","alias_value":"BVR4PR5WA5US","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_16","alias_value":"BVR4PR5WA5USJ4V6","created_at":"2026-06-12T01:10:07Z"},{"alias_kind":"pith_short_8","alias_value":"BVR4PR5W","created_at":"2026-06-12T01:10:07Z"}],"graph_snapshots":[{"event_id":"sha256:698eb75754c4716dd804b5815d05165edb67104d914b625115e455e48418d540","target":"graph","created_at":"2026-06-12T01:10:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.13504/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a systematic thermodynamic analysis of nonsecular master equations. We consider master equations resulting either from the partial secular and the geometric-arithmetic approximations, two approximations ensuring the positivity of the system's dynamics when some of its transition frequencies are too small to enable the full secular approximation. Both cause the system to relax towards a steady state which is not the Gibbs state of its bare Hamiltonian. Nonetheless, we build a unified, consistent thermodynamic framework for those dynamics. Starting from a microscopic expression of the","authors_text":"Cyril Elouard, Mohamed Boubakour, Talia Szikman","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T15:52:40Z","title":"A refined thermodynamic analysis of nonsecular master equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13504","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:c3e282dd6197b8669014e53afa196fac7ef8a366cfd859395b1aa615a9f0834c","target":"record","created_at":"2026-06-12T01:10:07Z","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":"2b77f1076b4e5fce2219fce9c7d7aa4f03bebd3b3b68d7a6e508df5c5289fcf5","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T15:52:40Z","title_canon_sha256":"489bf0e198c28e6d5d8f751ce7d3aa4676f821772e3055002d2e1358c7dfd1d1"},"schema_version":"1.0","source":{"id":"2606.13504","kind":"arxiv","version":1}},"canonical_sha256":"0d63c7c7b6076924f2be60b492510a7051ff824f711c639e0105dd886cd7bfcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d63c7c7b6076924f2be60b492510a7051ff824f711c639e0105dd886cd7bfcc","first_computed_at":"2026-06-12T01:10:07.275265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:10:07.275265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QUy8Lr1fNhZRwdBuC9SUUXPxvvNDfXgkS5zL/ro5Qi/xlxdMztavSJ5CHP3ImqKX2MSHqqvxFXqWOoOR1n71DA==","signature_status":"signed_v1","signed_at":"2026-06-12T01:10:07.276121Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3e282dd6197b8669014e53afa196fac7ef8a366cfd859395b1aa615a9f0834c","sha256:698eb75754c4716dd804b5815d05165edb67104d914b625115e455e48418d540"],"state_sha256":"9b350faa67da5993e6a93753eee0c412f660bd67548c6b6234d5bafa694ba378"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J0PhwlcVvFkHKYiE55pvYkNXzu63QHpi7pPyr5YdePIyCUh1RE4EpDeThREeRLrmv0ghrezHxyxNpxtjm1HMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T11:43:12.866604Z","bundle_sha256":"639bb7aef2527cd65f55e3f963d56cb021c7190c365424bcacd17f68183495f6"}}