{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HOOF52JEEUI5JTYW7WA6VFUHAJ","short_pith_number":"pith:HOOF52JE","canonical_record":{"source":{"id":"1406.7103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-27T08:13:44Z","cross_cats_sorted":[],"title_canon_sha256":"eb7e62544eb726f7a63e0e396cad0e99cff93d68428c0a91a99ded01a1bdffe0","abstract_canon_sha256":"e8d08d8cbdbbb1588edc6a40ef79412be724f7e5e5388bdd98a86d0bb27468bd"},"schema_version":"1.0"},"canonical_sha256":"3b9c5ee9242511d4cf16fd81ea96870254e0dde0fe5b9ed9b62b1949be11f800","source":{"kind":"arxiv","id":"1406.7103","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HOOF52JEEUI5JTYW7WA6VFUHAJ","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-27T08:13:44Z","cross_cats_sorted":[],"title_canon_sha256":"eb7e62544eb726f7a63e0e396cad0e99cff93d68428c0a91a99ded01a1bdffe0","abstract_canon_sha256":"e8d08d8cbdbbb1588edc6a40ef79412be724f7e5e5388bdd98a86d0bb27468bd"},"schema_version":"1.0"},"canonical_sha256":"3b9c5ee9242511d4cf16fd81ea96870254e0dde0fe5b9ed9b62b1949be11f800","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:41.311825Z","signature_b64":"PGVqJr4jNn5OiSc9se5lPHS0dZesaouSGABdXW4AZx6r9CVWx5lbD0ff4wjPNQm0WU/kBPP8AOyRFDFPZhTTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b9c5ee9242511d4cf16fd81ea96870254e0dde0fe5b9ed9b62b1949be11f800","last_reissued_at":"2026-05-18T02:41:41.311137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:41.311137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7103","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zMYy0e5t2Ql8eWGmTbds5UesdgQRUrCCxk3IOlqFTwOA81EG39ExtUIRm0PflNEMN9n8PYXaTkHef7W2Nq4PBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:25:43.723458Z"},"content_sha256":"02b829dc8b2a8098a1929e6067c55c0aa462ed6a5d7a68ce0591c6707aea1cb6","schema_version":"1.0","event_id":"sha256:02b829dc8b2a8098a1929e6067c55c0aa462ed6a5d7a68ce0591c6707aea1cb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HOOF52JEEUI5JTYW7WA6VFUHAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stationary states in 2D systems driven by bi-variate L\\'evy noises","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bartlomiej Dybiec, Krzysztof Szczepaniec","submitted_at":"2014-06-27T08:13:44Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7103","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dD9WiRTnM9Q6QKkk0wAxmFz+EIfc5TFQzmrMz2cIcXsTC2jMs5yAHea8VE1I2kkl1A0bd9ZeafbOIuYEzcHVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:25:43.723809Z"},"content_sha256":"40dc69ac074eaab9cd08a75acd894a6ca3e7d7a5c186530a1b0b899516bef70f","schema_version":"1.0","event_id":"sha256:40dc69ac074eaab9cd08a75acd894a6ca3e7d7a5c186530a1b0b899516bef70f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/bundle.json","state_url":"https://pith.science/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T01:25:43Z","links":{"resolver":"https://pith.science/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ","bundle":"https://pith.science/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/bundle.json","state":"https://pith.science/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HOOF52JEEUI5JTYW7WA6VFUHAJ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GNr+LC+QO1V3YApwc8lNfP8BHCKjPZx+v1rl1BPPmmKz89m/PRWzeD5Q5j0h96TapY3TT2ra2bCfmwh/oFEbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T01:25:43.725807Z","bundle_sha256":"8928adab1e49d8f766583fb30888e5b068137604c383d193cc10f36fa2247dc5"}}