{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HOOF52JEEUI5JTYW7WA6VFUHAJ","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":"e8d08d8cbdbbb1588edc6a40ef79412be724f7e5e5388bdd98a86d0bb27468bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-27T08:13:44Z","title_canon_sha256":"eb7e62544eb726f7a63e0e396cad0e99cff93d68428c0a91a99ded01a1bdffe0"},"schema_version":"1.0","source":{"id":"1406.7103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7103","created_at":"2026-05-18T02:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7103v1","created_at":"2026-05-18T02:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7103","created_at":"2026-05-18T02:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"HOOF52JEEUI5","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HOOF52JEEUI5JTYW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HOOF52JE","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:40dc69ac074eaab9cd08a75acd894a6ca3e7d7a5c186530a1b0b899516bef70f","target":"graph","created_at":"2026-05-18T02:41:41Z","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":"Systems driven by $\\alpha$-stable noises could be very different from their Gaussian counterparts. Stationary states in single-well potentials can be multimodal. Moreover, a potential well needs to be steep enough in order to produce stationary states. Here, it is demonstrated that 2D systems driven by bi-variate $\\alpha$-stable noises are even more surprising than their 1D analogs. In 2D systems, intriguing properties of stationary states originate not only due to heavy tails of noise pulses, which are distributed according to $\\alpha$-stable densities, but also because of properties of spect","authors_text":"Bartlomiej Dybiec, Krzysztof Szczepaniec","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-27T08:13:44Z","title":"Stationary states in 2D systems driven by bi-variate L\\'evy noises"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7103","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":"sha256:02b829dc8b2a8098a1929e6067c55c0aa462ed6a5d7a68ce0591c6707aea1cb6","target":"record","created_at":"2026-05-18T02:41:41Z","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":"e8d08d8cbdbbb1588edc6a40ef79412be724f7e5e5388bdd98a86d0bb27468bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-27T08:13:44Z","title_canon_sha256":"eb7e62544eb726f7a63e0e396cad0e99cff93d68428c0a91a99ded01a1bdffe0"},"schema_version":"1.0","source":{"id":"1406.7103","kind":"arxiv","version":1}},"canonical_sha256":"3b9c5ee9242511d4cf16fd81ea96870254e0dde0fe5b9ed9b62b1949be11f800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9c5ee9242511d4cf16fd81ea96870254e0dde0fe5b9ed9b62b1949be11f800","first_computed_at":"2026-05-18T02:41:41.311137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:41.311137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PGVqJr4jNn5OiSc9se5lPHS0dZesaouSGABdXW4AZx6r9CVWx5lbD0ff4wjPNQm0WU/kBPP8AOyRFDFPZhTTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:41.311825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02b829dc8b2a8098a1929e6067c55c0aa462ed6a5d7a68ce0591c6707aea1cb6","sha256:40dc69ac074eaab9cd08a75acd894a6ca3e7d7a5c186530a1b0b899516bef70f"],"state_sha256":"f067688a734980990704e2d527bf426d384bd71a3f595696f585759e063f2444"}