{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6ZENNHIR3VVOHWF2CSFXE5M7QO","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":"c96613bf4900fd42a5e1812f1025d80248d99e0b4a13f9345940d7dab7464089","cross_cats_sorted":["cs.SY","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T00:23:36Z","title_canon_sha256":"a07b2cab1f320c69c6cc66f97764bccceb32f1882909c4ee54fd3d402fec239f"},"schema_version":"1.0","source":{"id":"1608.02665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02665","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02665v1","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02665","created_at":"2026-05-18T00:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"6ZENNHIR3VVO","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"6ZENNHIR3VVOHWF2","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"6ZENNHIR","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:53ba4b9d86e45fba0455916a82d0d0c79ecb818cba27ba17723d9039883ca2f0","target":"graph","created_at":"2026-05-18T00:18:32Z","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 this article we use geometric optimal control to completely solve the problem of minimum-time transitions between thermal equilibrium and fixed average energy states of the quantum parametric oscillator, a system which has been extensively used to model quantum heat engines and refrigerators. We subsequently use the obtained results to find the minimum driving time for a quantum refrigerator and the quantum finite-time availability of the parametric oscillator, i.e. the potential work which can be extracted from this system by a very short finite-time process.","authors_text":"Dionisis Stefanatos","cross_cats":["cs.SY","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T00:23:36Z","title":"Minimum-Time Transitions between Thermal and Fixed Average Energy States of the Quantum Parametric Oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02665","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:bc8346261fa05f2580714fb87ae0a8b100c233c6315c00d40e05d2c8acc37bca","target":"record","created_at":"2026-05-18T00:18:32Z","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":"c96613bf4900fd42a5e1812f1025d80248d99e0b4a13f9345940d7dab7464089","cross_cats_sorted":["cs.SY","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-09T00:23:36Z","title_canon_sha256":"a07b2cab1f320c69c6cc66f97764bccceb32f1882909c4ee54fd3d402fec239f"},"schema_version":"1.0","source":{"id":"1608.02665","kind":"arxiv","version":1}},"canonical_sha256":"f648d69d11dd6ae3d8ba148b72759f838c6bbd53dda8748be4452d036324d301","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f648d69d11dd6ae3d8ba148b72759f838c6bbd53dda8748be4452d036324d301","first_computed_at":"2026-05-18T00:18:32.109736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:32.109736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uPF1ItnxUUWhaCqynyFe/7C6Jwg5wuWdvpam84QE5CNr5KsT5lOxkTABq6RFMSgrQW+FKklf+0oAde1DV3Z0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:32.110169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc8346261fa05f2580714fb87ae0a8b100c233c6315c00d40e05d2c8acc37bca","sha256:53ba4b9d86e45fba0455916a82d0d0c79ecb818cba27ba17723d9039883ca2f0"],"state_sha256":"646d85ec7c78fde8a97d81278f4957f7acc622661d284a126f853431e0544c64"}