{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GU5LATU2X5SJ7TLFWOEVMFVEU6","short_pith_number":"pith:GU5LATU2","schema_version":"1.0","canonical_sha256":"353ab04e9abf649fcd65b3895616a4a79a0f15582dbc9e30da00ea2ad15db52e","source":{"kind":"arxiv","id":"1301.4917","version":1},"attestation_state":"computed","paper":{"title":"Dirichlet draws are sparse with high probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ML"],"primary_cat":"cs.LG","authors_text":"Matus Telgarsky","submitted_at":"2013-01-21T16:27:17Z","abstract_excerpt":"This note provides an elementary proof of the folklore fact that draws from a Dirichlet distribution (with parameters less than 1) are typically sparse (most coordinates are small)."},"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":"1301.4917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-01-21T16:27:17Z","cross_cats_sorted":["math.PR","stat.ML"],"title_canon_sha256":"e0398844d04094447f165fc1e641a5d6eed0ca5ca23bde171023ae139873dee0","abstract_canon_sha256":"d33e2131d86f8a4af15954bcac3a230fa3f6788413436a67b30d28888c3dc4ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:55.152125Z","signature_b64":"eaUdS7fRpqE4TI18QYYM78KcnU7Hty8b5L7Ot9Aqyr3iJj/H0EyUkYTxpokqFRLtYYJv5NykEV7bN88aS4D+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"353ab04e9abf649fcd65b3895616a4a79a0f15582dbc9e30da00ea2ad15db52e","last_reissued_at":"2026-05-18T03:35:55.151356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:55.151356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirichlet draws are sparse with high probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ML"],"primary_cat":"cs.LG","authors_text":"Matus Telgarsky","submitted_at":"2013-01-21T16:27:17Z","abstract_excerpt":"This note provides an elementary proof of the folklore fact that draws from a Dirichlet distribution (with parameters less than 1) are typically sparse (most coordinates are small)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4917","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":"1301.4917","created_at":"2026-05-18T03:35:55.151485+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.4917v1","created_at":"2026-05-18T03:35:55.151485+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4917","created_at":"2026-05-18T03:35:55.151485+00:00"},{"alias_kind":"pith_short_12","alias_value":"GU5LATU2X5SJ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GU5LATU2X5SJ7TLF","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GU5LATU2","created_at":"2026-05-18T12:27:45.050594+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/GU5LATU2X5SJ7TLFWOEVMFVEU6","json":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6.json","graph_json":"https://pith.science/api/pith-number/GU5LATU2X5SJ7TLFWOEVMFVEU6/graph.json","events_json":"https://pith.science/api/pith-number/GU5LATU2X5SJ7TLFWOEVMFVEU6/events.json","paper":"https://pith.science/paper/GU5LATU2"},"agent_actions":{"view_html":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6","download_json":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6.json","view_paper":"https://pith.science/paper/GU5LATU2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.4917&json=true","fetch_graph":"https://pith.science/api/pith-number/GU5LATU2X5SJ7TLFWOEVMFVEU6/graph.json","fetch_events":"https://pith.science/api/pith-number/GU5LATU2X5SJ7TLFWOEVMFVEU6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6/action/storage_attestation","attest_author":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6/action/author_attestation","sign_citation":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6/action/citation_signature","submit_replication":"https://pith.science/pith/GU5LATU2X5SJ7TLFWOEVMFVEU6/action/replication_record"}},"created_at":"2026-05-18T03:35:55.151485+00:00","updated_at":"2026-05-18T03:35:55.151485+00:00"}