{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XOJWJFNBJTZEW7W5Z2ME6B4Q56","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":"6224e6cf9fa8051ebc4bd6f1f8dceec1164bfb86bc17580b890410ddbd02bf50","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-25T20:36:17Z","title_canon_sha256":"b314ccf9aa7f2c77ca2cdd957b114d563b4d27810b1397b2434c321a64c675a4"},"schema_version":"1.0","source":{"id":"1701.07478","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07478","created_at":"2026-05-18T00:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07478v3","created_at":"2026-05-18T00:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07478","created_at":"2026-05-18T00:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"XOJWJFNBJTZE","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XOJWJFNBJTZEW7W5","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XOJWJFNB","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:857871353ff3e915cd118eaf4bd78e7fa945c6415298625f59f78cdd88f9af09","target":"graph","created_at":"2026-05-18T00:29:39Z","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":"The third law of thermodynamics in the form of the unattainability principle states that exact ground-state cooling requires infinite resources. Here we investigate the amount of non-equilibrium resources needed for approximate cooling. We consider as resource any system out of equilibrium, allowing for resources beyond the i.i.d. assumption and including the input of work as a particular case. We establish in full generality a sufficient and a necessary condition for cooling and show that for a vast class of non-equilibrium resources these two conditions coincide, providing a single necessary","authors_text":"Henrik Wilming, Rodrigo Gallego","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-25T20:36:17Z","title":"Third Law of Thermodynamics as a Single Inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07478","kind":"arxiv","version":3},"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:e3ef1a90bd66293ed21d38ec15e87482d1a94aaa0b166a7e100af37e20a4c60f","target":"record","created_at":"2026-05-18T00:29:39Z","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":"6224e6cf9fa8051ebc4bd6f1f8dceec1164bfb86bc17580b890410ddbd02bf50","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-25T20:36:17Z","title_canon_sha256":"b314ccf9aa7f2c77ca2cdd957b114d563b4d27810b1397b2434c321a64c675a4"},"schema_version":"1.0","source":{"id":"1701.07478","kind":"arxiv","version":3}},"canonical_sha256":"bb936495a14cf24b7eddce984f0790efa23daea1250dbffab40e72919d8f97fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb936495a14cf24b7eddce984f0790efa23daea1250dbffab40e72919d8f97fb","first_computed_at":"2026-05-18T00:29:39.339100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:39.339100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V7Cty0SSQfu3HSS8Yzv8qZU8I82WZaJLMdWF7hHBWpD/S6g6JLsYkaGacQqksIqkoFwBRd+DR2f7m0EVEjCNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:39.339563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07478","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3ef1a90bd66293ed21d38ec15e87482d1a94aaa0b166a7e100af37e20a4c60f","sha256:857871353ff3e915cd118eaf4bd78e7fa945c6415298625f59f78cdd88f9af09"],"state_sha256":"e4915e373e8b55479034a73a1a1527ab0d849ff4d9dcf8ede7585e77d5a6ef22"}