{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GHHFMBAC3TXIPQGYVT47E7DFEG","short_pith_number":"pith:GHHFMBAC","schema_version":"1.0","canonical_sha256":"31ce560402dcee87c0d8acf9f27c65219e275f165917278e0bf2187714c76348","source":{"kind":"arxiv","id":"1701.00539","version":1},"attestation_state":"computed","paper":{"title":"Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Juan P. Garrahan","submitted_at":"2017-01-02T21:54:55Z","abstract_excerpt":"Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision of estimation to average dissipation. Here we consider this problem but for counting observables, i.e., trajectory observables which, in contrast to currents, are non-negative and non-decreasing in time (and possibly symmetric under time reversal). In the steady state, their fluctuations to all orders are bound from below by a Conway-Maxwell-Poisson distrib"},"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":"1701.00539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-02T21:54:55Z","cross_cats_sorted":[],"title_canon_sha256":"23367209ec1e1d8f1ba46dffbc5920048699bb9c55d6056c66cb3f6305efb215","abstract_canon_sha256":"5a1c61c8d72e8ecaafa4b01602272ab9a0da8d8c0d24d20aed6bf513067bcb4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:48.646858Z","signature_b64":"RN+PIK+hPmPjsI23Or9+ImrjYlwbZoKWqjUOfMJurIhluR/60SqFuV3/2qBPDR63/H8ZMLyDOvf/yBQSd/+iBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31ce560402dcee87c0d8acf9f27c65219e275f165917278e0bf2187714c76348","last_reissued_at":"2026-05-18T00:47:48.646222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:48.646222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Juan P. Garrahan","submitted_at":"2017-01-02T21:54:55Z","abstract_excerpt":"Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision of estimation to average dissipation. Here we consider this problem but for counting observables, i.e., trajectory observables which, in contrast to currents, are non-negative and non-decreasing in time (and possibly symmetric under time reversal). In the steady state, their fluctuations to all orders are bound from below by a Conway-Maxwell-Poisson distrib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00539","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":"1701.00539","created_at":"2026-05-18T00:47:48.646341+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.00539v1","created_at":"2026-05-18T00:47:48.646341+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00539","created_at":"2026-05-18T00:47:48.646341+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHHFMBAC3TXI","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHHFMBAC3TXIPQGY","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHHFMBAC","created_at":"2026-05-18T12:31:18.294218+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/GHHFMBAC3TXIPQGYVT47E7DFEG","json":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG.json","graph_json":"https://pith.science/api/pith-number/GHHFMBAC3TXIPQGYVT47E7DFEG/graph.json","events_json":"https://pith.science/api/pith-number/GHHFMBAC3TXIPQGYVT47E7DFEG/events.json","paper":"https://pith.science/paper/GHHFMBAC"},"agent_actions":{"view_html":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG","download_json":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG.json","view_paper":"https://pith.science/paper/GHHFMBAC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.00539&json=true","fetch_graph":"https://pith.science/api/pith-number/GHHFMBAC3TXIPQGYVT47E7DFEG/graph.json","fetch_events":"https://pith.science/api/pith-number/GHHFMBAC3TXIPQGYVT47E7DFEG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG/action/storage_attestation","attest_author":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG/action/author_attestation","sign_citation":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG/action/citation_signature","submit_replication":"https://pith.science/pith/GHHFMBAC3TXIPQGYVT47E7DFEG/action/replication_record"}},"created_at":"2026-05-18T00:47:48.646341+00:00","updated_at":"2026-05-18T00:47:48.646341+00:00"}