{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HNCNKJWLVTUDKK4STXM6GBABE2","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":"ab6aef41cdc5f3edaa1cebef0e55a77ed42dea4e68d1fccb31dae6d7537f1b07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-25T08:48:06Z","title_canon_sha256":"7ddaa13f2f2f9df09d4f43aa407ffdab56f762381c4d333e6688cdb6803be4f7"},"schema_version":"1.0","source":{"id":"1309.6429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6429","created_at":"2026-05-18T02:17:43Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6429v1","created_at":"2026-05-18T02:17:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6429","created_at":"2026-05-18T02:17:43Z"},{"alias_kind":"pith_short_12","alias_value":"HNCNKJWLVTUD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HNCNKJWLVTUDKK4S","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HNCNKJWL","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:f1c7fa9d8424c767b643db14730d0b8d467a69ee386769ac4abed07db870c37f","target":"graph","created_at":"2026-05-18T02:17:43Z","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 consider weak invariance principles (functional limit theorems) in the domain of a stable law. A general result is obtained on lifting such limit laws from an induced dynamical system to the original system. An important class of examples covered by our result are Pomeau-Manneville intermittency maps, where convergence for the induced system is in the standard Skorohod J_1 topology. For the full system, convergence in the J_1 topology fails, but we prove convergence in the M_1 topology.","authors_text":"Ian Melbourne, Roland Zweim\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-25T08:48:06Z","title":"Weak Convergence to Stable L\\'evy Processes for Nonuniformly Hyperbolic Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6429","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":"sha256:88379bf75d157421117c04df211978eae9ffa4118d94741f5b3b547433231574","target":"record","created_at":"2026-05-18T02:17:43Z","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":"ab6aef41cdc5f3edaa1cebef0e55a77ed42dea4e68d1fccb31dae6d7537f1b07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-09-25T08:48:06Z","title_canon_sha256":"7ddaa13f2f2f9df09d4f43aa407ffdab56f762381c4d333e6688cdb6803be4f7"},"schema_version":"1.0","source":{"id":"1309.6429","kind":"arxiv","version":1}},"canonical_sha256":"3b44d526cbace8352b929dd9e3040126af7f9bdba9b4a4114983d3bf1a58232b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b44d526cbace8352b929dd9e3040126af7f9bdba9b4a4114983d3bf1a58232b","first_computed_at":"2026-05-18T02:17:43.250956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:43.250956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yI7Z5Q3ZKbMNof2jsMWO07/1BJvg8qyBXhCvyFrdbrzu+D4EVmRCnlA11hpw1gSovuoLOm+BgWGKhne2wopgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:43.251467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88379bf75d157421117c04df211978eae9ffa4118d94741f5b3b547433231574","sha256:f1c7fa9d8424c767b643db14730d0b8d467a69ee386769ac4abed07db870c37f"],"state_sha256":"467ee1664c5e35a48b3a28561a473517c4eab50109a0f45e1c0dc6182e0163d0"}