{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q","short_pith_number":"pith:5Y6EDQ2T","schema_version":"1.0","canonical_sha256":"ee3c41c353b4345f8337e8fd062d3af40a40496f8e8d332b85bf756293f0d4bd","source":{"kind":"arxiv","id":"0812.3146","version":1},"attestation_state":"computed","paper":{"title":"Non-colliding Jacobi processes as limits of Markov chains on Gelfand-Tsetlin graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.PR","authors_text":"Vadim Gorin","submitted_at":"2008-12-16T20:50:23Z","abstract_excerpt":"We introduce a stochastic dynamics related to the measures that arise in harmonic analysis on the infinite-dimensional unitary group. Our dynamics is obtained as a limit of a sequence of natural Markov chains on Gelfand-Tsetlin graph. We compute finite-dimensional distributions of the limit Markov process, the generator and eigenfunctions of the semigroup related to this process. The limit process can be identified with Doob h-transform of a family of independent diffusions. Space-time correlation functions of the limit process have a determinantal form."},"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":"0812.3146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-12-16T20:50:23Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"da6c79a36a9b8d854c069c8470c24a4f25d504dc518a0424f4d5f5c496ff0a00","abstract_canon_sha256":"44bbe7bc9267ebdb211acea9d4c419b449500f538f81442e73fbc1b229f47751"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:17.194785Z","signature_b64":"goRM04CVuXl3GeynJ9elkBW/II7yHwsQELcN4eX0vW/h/O77BSCpFcjywl6GOHjAwIZXfOMQd/fqGFLWFcgACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee3c41c353b4345f8337e8fd062d3af40a40496f8e8d332b85bf756293f0d4bd","last_reissued_at":"2026-05-18T04:15:17.194162Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:17.194162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-colliding Jacobi processes as limits of Markov chains on Gelfand-Tsetlin graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.PR","authors_text":"Vadim Gorin","submitted_at":"2008-12-16T20:50:23Z","abstract_excerpt":"We introduce a stochastic dynamics related to the measures that arise in harmonic analysis on the infinite-dimensional unitary group. Our dynamics is obtained as a limit of a sequence of natural Markov chains on Gelfand-Tsetlin graph. We compute finite-dimensional distributions of the limit Markov process, the generator and eigenfunctions of the semigroup related to this process. The limit process can be identified with Doob h-transform of a family of independent diffusions. Space-time correlation functions of the limit process have a determinantal form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3146","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0812.3146","created_at":"2026-05-18T04:15:17.194270+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.3146v1","created_at":"2026-05-18T04:15:17.194270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3146","created_at":"2026-05-18T04:15:17.194270+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Y6EDQ2TWQ2F","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Y6EDQ2TWQ2F7AZX","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Y6EDQ2T","created_at":"2026-05-18T12:25:56.245647+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/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q","json":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q.json","graph_json":"https://pith.science/api/pith-number/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/graph.json","events_json":"https://pith.science/api/pith-number/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/events.json","paper":"https://pith.science/paper/5Y6EDQ2T"},"agent_actions":{"view_html":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q","download_json":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q.json","view_paper":"https://pith.science/paper/5Y6EDQ2T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.3146&json=true","fetch_graph":"https://pith.science/api/pith-number/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/graph.json","fetch_events":"https://pith.science/api/pith-number/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/action/storage_attestation","attest_author":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/action/author_attestation","sign_citation":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/action/citation_signature","submit_replication":"https://pith.science/pith/5Y6EDQ2TWQ2F7AZX5D6QMLJ26Q/action/replication_record"}},"created_at":"2026-05-18T04:15:17.194270+00:00","updated_at":"2026-05-18T04:15:17.194270+00:00"}