{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KRQFGVNSYX4I3DFD7N6UZ5VROC","short_pith_number":"pith:KRQFGVNS","schema_version":"1.0","canonical_sha256":"54605355b2c5f88d8ca3fb7d4cf6b170b2eebe8998c28ef1a808f7f871a20d99","source":{"kind":"arxiv","id":"1501.00771","version":2},"attestation_state":"computed","paper":{"title":"Central limit theorems for bounded random variables under belief","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Xiaomin Shi","submitted_at":"2015-01-05T06:52:29Z","abstract_excerpt":"Recently a new type of central limit theorem for belief functions was given in Epstein et al. [9]. In this paper, we generalize the central limit theorem in Epstein et al. [9] to accommodate general bounded random variables. These results are natural extension of the classical central limit theory for additive probability measures."},"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":"1501.00771","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-01-05T06:52:29Z","cross_cats_sorted":[],"title_canon_sha256":"0693297d09eb1af9f7e7e1140ed8c3134d5fe91d42666672f5c9875bfd25e8b4","abstract_canon_sha256":"496f780ec59356741a6291c13595417b83011c61d8b72f650b6d1167a032d941"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:36.998183Z","signature_b64":"5EB/j0nvRxjaK/m6MF6QFEOnfX4j7Ef/hxRWi4ged4LbOVuGDQR1JjkMqBzLE++xc7jR9IT1PUSS7qspDCvoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54605355b2c5f88d8ca3fb7d4cf6b170b2eebe8998c28ef1a808f7f871a20d99","last_reissued_at":"2026-05-18T00:27:36.997406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:36.997406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Central limit theorems for bounded random variables under belief","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Xiaomin Shi","submitted_at":"2015-01-05T06:52:29Z","abstract_excerpt":"Recently a new type of central limit theorem for belief functions was given in Epstein et al. [9]. In this paper, we generalize the central limit theorem in Epstein et al. [9] to accommodate general bounded random variables. These results are natural extension of the classical central limit theory for additive probability measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00771","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":"1501.00771","created_at":"2026-05-18T00:27:36.997551+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.00771v2","created_at":"2026-05-18T00:27:36.997551+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00771","created_at":"2026-05-18T00:27:36.997551+00:00"},{"alias_kind":"pith_short_12","alias_value":"KRQFGVNSYX4I","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KRQFGVNSYX4I3DFD","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KRQFGVNS","created_at":"2026-05-18T12:29:29.992203+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/KRQFGVNSYX4I3DFD7N6UZ5VROC","json":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC.json","graph_json":"https://pith.science/api/pith-number/KRQFGVNSYX4I3DFD7N6UZ5VROC/graph.json","events_json":"https://pith.science/api/pith-number/KRQFGVNSYX4I3DFD7N6UZ5VROC/events.json","paper":"https://pith.science/paper/KRQFGVNS"},"agent_actions":{"view_html":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC","download_json":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC.json","view_paper":"https://pith.science/paper/KRQFGVNS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.00771&json=true","fetch_graph":"https://pith.science/api/pith-number/KRQFGVNSYX4I3DFD7N6UZ5VROC/graph.json","fetch_events":"https://pith.science/api/pith-number/KRQFGVNSYX4I3DFD7N6UZ5VROC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC/action/storage_attestation","attest_author":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC/action/author_attestation","sign_citation":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC/action/citation_signature","submit_replication":"https://pith.science/pith/KRQFGVNSYX4I3DFD7N6UZ5VROC/action/replication_record"}},"created_at":"2026-05-18T00:27:36.997551+00:00","updated_at":"2026-05-18T00:27:36.997551+00:00"}