{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HHZK7ABM4MF6DI6NF3Y7YQRYUR","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":"ce1b16663691967874835c7c6793de0c9aac65c73a957c4d724f0921cb0a4b0b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-10-02T09:10:59Z","title_canon_sha256":"6600045a6d06ac37dc80274761cd6f1a86ed2cd1bf60015a73081aba41da705f"},"schema_version":"1.0","source":{"id":"2510.01823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.01823","created_at":"2026-06-24T01:14:58Z"},{"alias_kind":"arxiv_version","alias_value":"2510.01823v1","created_at":"2026-06-24T01:14:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.01823","created_at":"2026-06-24T01:14:58Z"},{"alias_kind":"pith_short_12","alias_value":"HHZK7ABM4MF6","created_at":"2026-06-24T01:14:58Z"},{"alias_kind":"pith_short_16","alias_value":"HHZK7ABM4MF6DI6N","created_at":"2026-06-24T01:14:58Z"},{"alias_kind":"pith_short_8","alias_value":"HHZK7ABM","created_at":"2026-06-24T01:14:58Z"}],"graph_snapshots":[{"event_id":"sha256:dbd5860cb5078ca4f7ecf7bf4ab466a82ae9dc83f506479490a5729dd0408cfc","target":"graph","created_at":"2026-06-24T01:14:58Z","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/2510.01823/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a reformulation of the problem of optimally controlled transitions in stochastic thermodynamics. We impose that any terminal cost specified by a thermodynamic functional should depend only on state variables and not on control protocols, according to the canonical Bolza form. In this way, we can unambiguously discriminate between transitions at minimum dissipation between genuine equilibrium states, and transitions at minimum work driving a system from a genuine equilibrium to a non-equilibrium state. For underdamped dynamics subject to a mechanical force, genuine equilibrium means ","authors_text":"Julia Sanders, Paolo Muratore-Ginanneschi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-10-02T09:10:59Z","title":"Optimal Control of Engineered Swift Equilibration of Nanomechanical Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.01823","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":"sha256:98d7f3ec5ea79641047252f83d3a33110cc858fe22e9cf87ba2acb730794772f","target":"record","created_at":"2026-06-24T01:14:58Z","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":"ce1b16663691967874835c7c6793de0c9aac65c73a957c4d724f0921cb0a4b0b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-10-02T09:10:59Z","title_canon_sha256":"6600045a6d06ac37dc80274761cd6f1a86ed2cd1bf60015a73081aba41da705f"},"schema_version":"1.0","source":{"id":"2510.01823","kind":"arxiv","version":1}},"canonical_sha256":"39f2af802ce30be1a3cd2ef1fc4238a45c679c56e98e763223fe8e8fecde2e0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39f2af802ce30be1a3cd2ef1fc4238a45c679c56e98e763223fe8e8fecde2e0d","first_computed_at":"2026-06-24T01:14:58.587852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:58.587852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H0qnspKhXCR3cr3Qd9G4vWGJBZPOV2vpGKr8ZJ7Xvq1SRXHzDuF5y6quIQqMo9ErcpKkhO8aTufur3sbysO3Dg==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:58.588301Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.01823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d7f3ec5ea79641047252f83d3a33110cc858fe22e9cf87ba2acb730794772f","sha256:dbd5860cb5078ca4f7ecf7bf4ab466a82ae9dc83f506479490a5729dd0408cfc"],"state_sha256":"6801c9f97742404ecbc3724e6c80a743692a651ee0ae957b04530ea48b56ec7e"}