{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AYC4PQMLVFYRAKDHDZ6DPD3LMA","short_pith_number":"pith:AYC4PQML","schema_version":"1.0","canonical_sha256":"0605c7c18ba9711028671e7c378f6b6033db7bbed11eb0e5e9b945ca7a221b03","source":{"kind":"arxiv","id":"1703.04386","version":2},"attestation_state":"computed","paper":{"title":"Dispersion of the time spent in a state: General expression for unicyclic model and dissipation-less precision","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andre C. Barato, Somrita Ray","submitted_at":"2017-03-13T13:43:24Z","abstract_excerpt":"We compare the relation between dispersion and dissipation for two random variables that can be used to characterize the precision of a Brownian clock. The first random variable is the current between states. In this case, a certain precision requires a minimal energetic cost determined by a known thermodynamic uncertainty relation. We introduce a second random variable that is a certain linear combination of two random variables, each of which is the time a stochastic trajectory spends in a state. Whereas the first moment of this random variable is equal to the average probability current, it"},"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":"1703.04386","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-13T13:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"5db4841eb0c62ceb62ffdd9e9e2aa14c22759f96ebc25deeef0365b5f3da1a4d","abstract_canon_sha256":"80b3a2d6b07de257677ee8160c811baf1946492c61e5d4ee6dc59dcdf7138e1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:46.154131Z","signature_b64":"QMR13Kx1KbVpV4+666g5AX9qyMj6lsgIce/r8E5x8rVWL6VHV7eGkXQ+YlDPLwBdjsne4cNmVC/uuFI5eX6BDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0605c7c18ba9711028671e7c378f6b6033db7bbed11eb0e5e9b945ca7a221b03","last_reissued_at":"2026-05-18T00:38:46.153456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:46.153456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersion of the time spent in a state: General expression for unicyclic model and dissipation-less precision","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andre C. Barato, Somrita Ray","submitted_at":"2017-03-13T13:43:24Z","abstract_excerpt":"We compare the relation between dispersion and dissipation for two random variables that can be used to characterize the precision of a Brownian clock. The first random variable is the current between states. In this case, a certain precision requires a minimal energetic cost determined by a known thermodynamic uncertainty relation. We introduce a second random variable that is a certain linear combination of two random variables, each of which is the time a stochastic trajectory spends in a state. Whereas the first moment of this random variable is equal to the average probability current, it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04386","kind":"arxiv","version":2},"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":"1703.04386","created_at":"2026-05-18T00:38:46.153560+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04386v2","created_at":"2026-05-18T00:38:46.153560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04386","created_at":"2026-05-18T00:38:46.153560+00:00"},{"alias_kind":"pith_short_12","alias_value":"AYC4PQMLVFYR","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"AYC4PQMLVFYRAKDH","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"AYC4PQML","created_at":"2026-05-18T12:31:08.081275+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/AYC4PQMLVFYRAKDHDZ6DPD3LMA","json":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA.json","graph_json":"https://pith.science/api/pith-number/AYC4PQMLVFYRAKDHDZ6DPD3LMA/graph.json","events_json":"https://pith.science/api/pith-number/AYC4PQMLVFYRAKDHDZ6DPD3LMA/events.json","paper":"https://pith.science/paper/AYC4PQML"},"agent_actions":{"view_html":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA","download_json":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA.json","view_paper":"https://pith.science/paper/AYC4PQML","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04386&json=true","fetch_graph":"https://pith.science/api/pith-number/AYC4PQMLVFYRAKDHDZ6DPD3LMA/graph.json","fetch_events":"https://pith.science/api/pith-number/AYC4PQMLVFYRAKDHDZ6DPD3LMA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA/action/storage_attestation","attest_author":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA/action/author_attestation","sign_citation":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA/action/citation_signature","submit_replication":"https://pith.science/pith/AYC4PQMLVFYRAKDHDZ6DPD3LMA/action/replication_record"}},"created_at":"2026-05-18T00:38:46.153560+00:00","updated_at":"2026-05-18T00:38:46.153560+00:00"}