{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CH2PYZ6XBQPU4GTNUUDCHKT3CD","short_pith_number":"pith:CH2PYZ6X","schema_version":"1.0","canonical_sha256":"11f4fc67d70c1f4e1a6da50623aa7b10eb5f5e21b32824dc5276ba6b52388255","source":{"kind":"arxiv","id":"1508.07966","version":3},"attestation_state":"computed","paper":{"title":"Invariance principles for random walks in cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jetlir Duraj, Vitali Wachtel","submitted_at":"2015-08-31T19:18:49Z","abstract_excerpt":"We prove invariance principles for a mulditimensional random walk conditioned to stay in a cone. Our first result concerns convergence towards the Brownian meander in the cone. Furthermore, we prove functional convergence of $h$-transformed random walk to the corresponding $h$-transform of the Brownian motion. Finally, we prove an invariance principle for bridges of a random walk in a cone."},"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":"1508.07966","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-08-31T19:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"1e0b7e4e8a65ce4ed19668ded24391d41cf1fe366f029e2ea3167532e5cf641a","abstract_canon_sha256":"00d56c01b65db6113929e10278bb461dcc9d6ee6e8c9fc1291232a3bcafbe2c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:13.888002Z","signature_b64":"WLGaoRAwKbXOWJKqudDf7Oob69m9v2oKjxKHIpED525S+2Gh2Ny6AS8KlppoKVhJsALHLbKYrPNW/O1KtHuUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11f4fc67d70c1f4e1a6da50623aa7b10eb5f5e21b32824dc5276ba6b52388255","last_reissued_at":"2026-05-18T01:28:13.887241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:13.887241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariance principles for random walks in cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jetlir Duraj, Vitali Wachtel","submitted_at":"2015-08-31T19:18:49Z","abstract_excerpt":"We prove invariance principles for a mulditimensional random walk conditioned to stay in a cone. Our first result concerns convergence towards the Brownian meander in the cone. Furthermore, we prove functional convergence of $h$-transformed random walk to the corresponding $h$-transform of the Brownian motion. Finally, we prove an invariance principle for bridges of a random walk in a cone."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07966","kind":"arxiv","version":3},"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":"1508.07966","created_at":"2026-05-18T01:28:13.887359+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.07966v3","created_at":"2026-05-18T01:28:13.887359+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07966","created_at":"2026-05-18T01:28:13.887359+00:00"},{"alias_kind":"pith_short_12","alias_value":"CH2PYZ6XBQPU","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CH2PYZ6XBQPU4GTN","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CH2PYZ6X","created_at":"2026-05-18T12:29:14.074870+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/CH2PYZ6XBQPU4GTNUUDCHKT3CD","json":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD.json","graph_json":"https://pith.science/api/pith-number/CH2PYZ6XBQPU4GTNUUDCHKT3CD/graph.json","events_json":"https://pith.science/api/pith-number/CH2PYZ6XBQPU4GTNUUDCHKT3CD/events.json","paper":"https://pith.science/paper/CH2PYZ6X"},"agent_actions":{"view_html":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD","download_json":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD.json","view_paper":"https://pith.science/paper/CH2PYZ6X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.07966&json=true","fetch_graph":"https://pith.science/api/pith-number/CH2PYZ6XBQPU4GTNUUDCHKT3CD/graph.json","fetch_events":"https://pith.science/api/pith-number/CH2PYZ6XBQPU4GTNUUDCHKT3CD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD/action/storage_attestation","attest_author":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD/action/author_attestation","sign_citation":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD/action/citation_signature","submit_replication":"https://pith.science/pith/CH2PYZ6XBQPU4GTNUUDCHKT3CD/action/replication_record"}},"created_at":"2026-05-18T01:28:13.887359+00:00","updated_at":"2026-05-18T01:28:13.887359+00:00"}