{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2M5R2R56UAOUDIUYYUWSYBGOEQ","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":"ad61afacda5da91d0853b21c9c293503e922672f38a759a4c354652461aefc3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-07T09:44:10Z","title_canon_sha256":"1f4002d184f34748f95e314afbc380d5b4c2ee85ff342f7f1b0aff8a1ab3c2ac"},"schema_version":"1.0","source":{"id":"1409.2098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2098","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2098v1","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2098","created_at":"2026-05-18T02:43:17Z"},{"alias_kind":"pith_short_12","alias_value":"2M5R2R56UAOU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2M5R2R56UAOUDIUY","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2M5R2R56","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:f04c087d9387d2e61c79cade8d4a9e348940a415088b6a888fcb0ccb5c2a13a7","target":"graph","created_at":"2026-05-18T02:43:17Z","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 study the long time behaviour of the speed of a particle moving in $\\mathbb{R}^d$ under the influence of a random time-dependent potential representing the particle's environment. The particle undergoes successive scattering events that we model with a Markov chain for which each step represents a collision. Assuming the initial velocity is large enough, we show that, with high probability, the particle's kinetic energy $E(t)$ grows as $t^{\\frac25}$ when $d>5$.","authors_text":"Emilie Soret (LPP, INRIA Lille - Nord Europe), Stephan De Bievre (LPP","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-07T09:44:10Z","title":"Stochastic acceleration in a random time-dependent potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2098","kind":"arxiv","version":1},"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":"sha256:69ad1ab7f8e9638908b2d32f9572c2ffe5bbe3f44b2f06d3d4dd3fd03ba7d9e5","target":"record","created_at":"2026-05-18T02:43:17Z","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":"ad61afacda5da91d0853b21c9c293503e922672f38a759a4c354652461aefc3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-07T09:44:10Z","title_canon_sha256":"1f4002d184f34748f95e314afbc380d5b4c2ee85ff342f7f1b0aff8a1ab3c2ac"},"schema_version":"1.0","source":{"id":"1409.2098","kind":"arxiv","version":1}},"canonical_sha256":"d33b1d47bea01d41a298c52d2c04ce240fccfd95e1c9161c2a4bb013b78f0b46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d33b1d47bea01d41a298c52d2c04ce240fccfd95e1c9161c2a4bb013b78f0b46","first_computed_at":"2026-05-18T02:43:17.874456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:17.874456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iG8ZHDaT8H51jsqEyxc3hJAMO1VBbE+5JQlfGPXDrviIAr5qEtkEtRtmd6k3Aaz6Nwwhpi8edfprXW1F0yMxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:17.874890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69ad1ab7f8e9638908b2d32f9572c2ffe5bbe3f44b2f06d3d4dd3fd03ba7d9e5","sha256:f04c087d9387d2e61c79cade8d4a9e348940a415088b6a888fcb0ccb5c2a13a7"],"state_sha256":"2f526f4f0d574968d3e29eb7971dca77879f8427c4672ae620607cb83f7d1ce1"}