{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KVVG35AZUCRX2XHKBEBV2GD3LA","short_pith_number":"pith:KVVG35AZ","schema_version":"1.0","canonical_sha256":"556a6df419a0a37d5cea09035d187b5807f5e0f4d23e23b9f5f9a649e688991b","source":{"kind":"arxiv","id":"1211.3013","version":2},"attestation_state":"computed","paper":{"title":"Large deviations for stable like random walks on $\\mathbb Z^d$ with applications to random walks on wreath products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Laurent Saloff-Coste, Tianyi Zheng","submitted_at":"2012-11-13T15:01:46Z","abstract_excerpt":"We derive Donsker-Vardhan type results for functionals of the occupation times when the underlying random walk on $\\mathbb Z^d$ is in the domain of attraction of an operator-stable law on $\\mathbb R^d$. Applications to random walks on wreath products (also known as lamplighter groups) are given."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1211.3013","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-13T15:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"e6a28a512a399e261b13fc08c2062bb3dee28dbe494a2381b7a3f6d1972608d2","abstract_canon_sha256":"b9ffd7098b49ab13668cb0a2f9bc2d82a87239928e74d629429031d62336359f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:57.069525Z","signature_b64":"DyyM+TuqLznY+Da7OWsGjyVqAfXGj3kzRRf2KdLKcACAx/uqnrQIBTBLPGc1tLdVV+j0kCyHeGGKJt35A0inBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"556a6df419a0a37d5cea09035d187b5807f5e0f4d23e23b9f5f9a649e688991b","last_reissued_at":"2026-05-18T03:17:57.068841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:57.068841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for stable like random walks on $\\mathbb Z^d$ with applications to random walks on wreath products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Laurent Saloff-Coste, Tianyi Zheng","submitted_at":"2012-11-13T15:01:46Z","abstract_excerpt":"We derive Donsker-Vardhan type results for functionals of the occupation times when the underlying random walk on $\\mathbb Z^d$ is in the domain of attraction of an operator-stable law on $\\mathbb R^d$. Applications to random walks on wreath products (also known as lamplighter groups) are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3013","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.3013","created_at":"2026-05-18T03:17:57.068936+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.3013v2","created_at":"2026-05-18T03:17:57.068936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3013","created_at":"2026-05-18T03:17:57.068936+00:00"},{"alias_kind":"pith_short_12","alias_value":"KVVG35AZUCRX","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KVVG35AZUCRX2XHK","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KVVG35AZ","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA","json":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA.json","graph_json":"https://pith.science/api/pith-number/KVVG35AZUCRX2XHKBEBV2GD3LA/graph.json","events_json":"https://pith.science/api/pith-number/KVVG35AZUCRX2XHKBEBV2GD3LA/events.json","paper":"https://pith.science/paper/KVVG35AZ"},"agent_actions":{"view_html":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA","download_json":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA.json","view_paper":"https://pith.science/paper/KVVG35AZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.3013&json=true","fetch_graph":"https://pith.science/api/pith-number/KVVG35AZUCRX2XHKBEBV2GD3LA/graph.json","fetch_events":"https://pith.science/api/pith-number/KVVG35AZUCRX2XHKBEBV2GD3LA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA/action/storage_attestation","attest_author":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA/action/author_attestation","sign_citation":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA/action/citation_signature","submit_replication":"https://pith.science/pith/KVVG35AZUCRX2XHKBEBV2GD3LA/action/replication_record"}},"created_at":"2026-05-18T03:17:57.068936+00:00","updated_at":"2026-05-18T03:17:57.068936+00:00"}