{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T3TNQVBRZAIY2HZ6THUQHB4FD5","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":"5f3199ca82d3470c72bcb2aabfaa7ca8cd8add29ee6a63d5fb6d9c39769b866f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-21T10:25:50Z","title_canon_sha256":"108f3759d043abdb281ba0e729d78c98b5def5ef000f208b98db1b2893e0738a"},"schema_version":"1.0","source":{"id":"1407.5448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5448","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5448v2","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5448","created_at":"2026-05-18T01:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"T3TNQVBRZAIY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T3TNQVBRZAIY2HZ6","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T3TNQVBR","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:bb0cdd9ec2b98cf35d2d175c470f90f1e4fedfb5d5e5a81177b4a5ffcc08ba2a","target":"graph","created_at":"2026-05-18T01:42:33Z","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":"We investigate piecewise-linear stochastic models as with regards to the probability distribution of functionals of the stochastic processes, a question which occurs frequently in large deviation theory. The functionals that we are looking into in detail are related to the time a stochastic process spends at a phase space point or in a phase space region, as well as to the motion with inertia. For a Langevin equation with discontinuous drift, we extend the so-called backward Fokker-Planck technique for nonnegative support functionals to arbitrary support functionals, to derive explicit express","authors_text":"Wolfram Just, Yaming Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-21T10:25:50Z","title":"On large deviation properties of Brownian motion with dry friction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5448","kind":"arxiv","version":2},"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":"sha256:7eb5fd76e60c523f2d1086852d276293cec18ad6d650afb0e6776af6e6b29dd8","target":"record","created_at":"2026-05-18T01:42:33Z","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":"5f3199ca82d3470c72bcb2aabfaa7ca8cd8add29ee6a63d5fb6d9c39769b866f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-21T10:25:50Z","title_canon_sha256":"108f3759d043abdb281ba0e729d78c98b5def5ef000f208b98db1b2893e0738a"},"schema_version":"1.0","source":{"id":"1407.5448","kind":"arxiv","version":2}},"canonical_sha256":"9ee6d85431c8118d1f3e99e90387851f7ab201a31d9d95954ee99536b7b5d31a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ee6d85431c8118d1f3e99e90387851f7ab201a31d9d95954ee99536b7b5d31a","first_computed_at":"2026-05-18T01:42:33.588915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:33.588915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzbsaN8ejZ56UyKzqFwlRspH/P0y6Hth/fJ0AvlsE5B2HXuYB+GavcG4zIEDbE96tVCU5BD9khPrqgxDx9t8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:33.589445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7eb5fd76e60c523f2d1086852d276293cec18ad6d650afb0e6776af6e6b29dd8","sha256:bb0cdd9ec2b98cf35d2d175c470f90f1e4fedfb5d5e5a81177b4a5ffcc08ba2a"],"state_sha256":"f9d6c5ac944625953b69940651b8e8598e7f504a90f7ad654468bc24d85ea225"}