{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PHQX2D3RD5EE3NKAK7RJOJFOBA","short_pith_number":"pith:PHQX2D3R","schema_version":"1.0","canonical_sha256":"79e17d0f711f484db54057e29724ae083f310d1dfdea71a29c9a105f8ee358cb","source":{"kind":"arxiv","id":"1409.5351","version":1},"attestation_state":"computed","paper":{"title":"Second-law-like inequalities with information and their interpretations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henrik Sandberg, Jordan M. Horowitz","submitted_at":"2014-09-18T15:58:18Z","abstract_excerpt":"In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting for the information gathered through measurement. We quantitatively compare a number of these information measures using an analytically tractable model for the feedback cooling of a Brownian particle. We find that the information measures form a hierarchy that reveals a web of interconnections. To untangle their relationships, we address the origins of the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.5351","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-09-18T15:58:18Z","cross_cats_sorted":[],"title_canon_sha256":"903a88666c44fe7e02b065a8f1d86d81e862c9bf687dd17b172dc95072492c9b","abstract_canon_sha256":"487f257e79740438bdd19f4d8487c218a94f3bf0b2db8fb7385cff4921cc04c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:01.413387Z","signature_b64":"NJ5px51Ti/+Bs8TPISkKObPxN7W6LxnLZBUu28WMju7uWQl2mBja2szcGevZty9WZFZ9gRNejyOaf0jmAN+6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79e17d0f711f484db54057e29724ae083f310d1dfdea71a29c9a105f8ee358cb","last_reissued_at":"2026-05-18T01:42:01.412775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:01.412775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-law-like inequalities with information and their interpretations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Henrik Sandberg, Jordan M. Horowitz","submitted_at":"2014-09-18T15:58:18Z","abstract_excerpt":"In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting for the information gathered through measurement. We quantitatively compare a number of these information measures using an analytically tractable model for the feedback cooling of a Brownian particle. We find that the information measures form a hierarchy that reveals a web of interconnections. To untangle their relationships, we address the origins of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5351","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.5351","created_at":"2026-05-18T01:42:01.412874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5351v1","created_at":"2026-05-18T01:42:01.412874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5351","created_at":"2026-05-18T01:42:01.412874+00:00"},{"alias_kind":"pith_short_12","alias_value":"PHQX2D3RD5EE","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PHQX2D3RD5EE3NKA","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PHQX2D3R","created_at":"2026-05-18T12:28:43.426989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA","json":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA.json","graph_json":"https://pith.science/api/pith-number/PHQX2D3RD5EE3NKAK7RJOJFOBA/graph.json","events_json":"https://pith.science/api/pith-number/PHQX2D3RD5EE3NKAK7RJOJFOBA/events.json","paper":"https://pith.science/paper/PHQX2D3R"},"agent_actions":{"view_html":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA","download_json":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA.json","view_paper":"https://pith.science/paper/PHQX2D3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5351&json=true","fetch_graph":"https://pith.science/api/pith-number/PHQX2D3RD5EE3NKAK7RJOJFOBA/graph.json","fetch_events":"https://pith.science/api/pith-number/PHQX2D3RD5EE3NKAK7RJOJFOBA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA/action/storage_attestation","attest_author":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA/action/author_attestation","sign_citation":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA/action/citation_signature","submit_replication":"https://pith.science/pith/PHQX2D3RD5EE3NKAK7RJOJFOBA/action/replication_record"}},"created_at":"2026-05-18T01:42:01.412874+00:00","updated_at":"2026-05-18T01:42:01.412874+00:00"}