{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CIIM6GHZD5R4NWVV3NEQDNQRZA","short_pith_number":"pith:CIIM6GHZ","schema_version":"1.0","canonical_sha256":"1210cf18f91f63c6dab5db4901b611c83af00df181235d715ddd8a2ba41a3512","source":{"kind":"arxiv","id":"1805.06483","version":1},"attestation_state":"computed","paper":{"title":"A new convexity-based inequality, characterization of probability distributions and some free-of-distribution tests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Irina V. Volchenkova, Lev B. Klebanov","submitted_at":"2018-05-16T18:36:56Z","abstract_excerpt":"A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Equality sign in the inequality gives a characteristic property of some probability distributions. This fact together with special character of functional is used to construct free-of-distribution two sample tests.\n  Key words: convex functions; probability distances; characterization of distributions; Cram\\'{e}r - von Mises distance; statistical tests."},"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":"1805.06483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-05-16T18:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"3a6e5e2504670adaffb32173d486a897df9c9bf013a9a89d42fb59f62bd34312","abstract_canon_sha256":"85db36207b433e5cb8ea4cee8d3cc869028ec6ffdac586eba6816327f81fa42d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:46.162340Z","signature_b64":"plOYN1d4ZihJvGr7TR5/cvHSco9Z1G6ZbBe8oeIv2J+gjLiDwjibDF7yfnFcZVyuJp23Qbcrh5CdgZRH23I2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1210cf18f91f63c6dab5db4901b611c83af00df181235d715ddd8a2ba41a3512","last_reissued_at":"2026-05-18T00:15:46.161816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:46.161816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new convexity-based inequality, characterization of probability distributions and some free-of-distribution tests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Irina V. Volchenkova, Lev B. Klebanov","submitted_at":"2018-05-16T18:36:56Z","abstract_excerpt":"A new inequality between some functional of probability distribution functions is given. The inequality is based on strict convexity of a function used in functional definition. Equality sign in the inequality gives a characteristic property of some probability distributions. This fact together with special character of functional is used to construct free-of-distribution two sample tests.\n  Key words: convex functions; probability distances; characterization of distributions; Cram\\'{e}r - von Mises distance; statistical tests."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06483","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":"1805.06483","created_at":"2026-05-18T00:15:46.161899+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.06483v1","created_at":"2026-05-18T00:15:46.161899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.06483","created_at":"2026-05-18T00:15:46.161899+00:00"},{"alias_kind":"pith_short_12","alias_value":"CIIM6GHZD5R4","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CIIM6GHZD5R4NWVV","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CIIM6GHZ","created_at":"2026-05-18T12:32:16.446611+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/CIIM6GHZD5R4NWVV3NEQDNQRZA","json":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA.json","graph_json":"https://pith.science/api/pith-number/CIIM6GHZD5R4NWVV3NEQDNQRZA/graph.json","events_json":"https://pith.science/api/pith-number/CIIM6GHZD5R4NWVV3NEQDNQRZA/events.json","paper":"https://pith.science/paper/CIIM6GHZ"},"agent_actions":{"view_html":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA","download_json":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA.json","view_paper":"https://pith.science/paper/CIIM6GHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.06483&json=true","fetch_graph":"https://pith.science/api/pith-number/CIIM6GHZD5R4NWVV3NEQDNQRZA/graph.json","fetch_events":"https://pith.science/api/pith-number/CIIM6GHZD5R4NWVV3NEQDNQRZA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA/action/storage_attestation","attest_author":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA/action/author_attestation","sign_citation":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA/action/citation_signature","submit_replication":"https://pith.science/pith/CIIM6GHZD5R4NWVV3NEQDNQRZA/action/replication_record"}},"created_at":"2026-05-18T00:15:46.161899+00:00","updated_at":"2026-05-18T00:15:46.161899+00:00"}