{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NT5BW3FM6ZS3SXNCCYBTZLVUXH","short_pith_number":"pith:NT5BW3FM","schema_version":"1.0","canonical_sha256":"6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523","source":{"kind":"arxiv","id":"1411.0002","version":1},"attestation_state":"computed","paper":{"title":"A Quick Empirical Reproof of the Asymptotic Normality of the Hirsch Citation Index (First proved by Canfield, Corteel, and Savage)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.HO","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","submitted_at":"2014-10-31T16:02:09Z","abstract_excerpt":"Once upon a time there was an esoteric and specialized notion, called \"size of the Durfee square\", of interest to at most 100 specialists in the whole world. Then it was kissed by a prince called Jorge Hirsch, and became the famous (and to quite a few people, infamous) h-index, of interest to every scientist, and scholar, since it tells you how productive a scientist (or scholar) you are! When Rodney Canfield, Sylvie Corteel, and Carla Savage wrote their beautiful 1998 article proving, rigorously, by a very deep and intricate analysis, the asymptotic normality of the random variable \"size of D"},"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":"1411.0002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-10-31T16:02:09Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"a75c6b6667b5c545f1386515f19f321e368bee8f259c932cd37a4997762cb2dd","abstract_canon_sha256":"45cb1018a7f4eed67fdd2febbfe209040949977a9b1859ddf00f8c0fcb866484"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:52.723131Z","signature_b64":"33WRqossmT8YrhEmGZXgHjsnK4vUxrypAvihtIWlv1Rill4Nu59SFcKEsdd9bKu13q32JLcFbKyqvaiCP2i+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523","last_reissued_at":"2026-05-18T02:38:52.722752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:52.722752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Quick Empirical Reproof of the Asymptotic Normality of the Hirsch Citation Index (First proved by Canfield, Corteel, and Savage)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.HO","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","submitted_at":"2014-10-31T16:02:09Z","abstract_excerpt":"Once upon a time there was an esoteric and specialized notion, called \"size of the Durfee square\", of interest to at most 100 specialists in the whole world. Then it was kissed by a prince called Jorge Hirsch, and became the famous (and to quite a few people, infamous) h-index, of interest to every scientist, and scholar, since it tells you how productive a scientist (or scholar) you are! When Rodney Canfield, Sylvie Corteel, and Carla Savage wrote their beautiful 1998 article proving, rigorously, by a very deep and intricate analysis, the asymptotic normality of the random variable \"size of D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0002","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":"1411.0002","created_at":"2026-05-18T02:38:52.722804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.0002v1","created_at":"2026-05-18T02:38:52.722804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0002","created_at":"2026-05-18T02:38:52.722804+00:00"},{"alias_kind":"pith_short_12","alias_value":"NT5BW3FM6ZS3","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NT5BW3FM6ZS3SXNC","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NT5BW3FM","created_at":"2026-05-18T12:28:41.024544+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/NT5BW3FM6ZS3SXNCCYBTZLVUXH","json":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH.json","graph_json":"https://pith.science/api/pith-number/NT5BW3FM6ZS3SXNCCYBTZLVUXH/graph.json","events_json":"https://pith.science/api/pith-number/NT5BW3FM6ZS3SXNCCYBTZLVUXH/events.json","paper":"https://pith.science/paper/NT5BW3FM"},"agent_actions":{"view_html":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH","download_json":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH.json","view_paper":"https://pith.science/paper/NT5BW3FM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.0002&json=true","fetch_graph":"https://pith.science/api/pith-number/NT5BW3FM6ZS3SXNCCYBTZLVUXH/graph.json","fetch_events":"https://pith.science/api/pith-number/NT5BW3FM6ZS3SXNCCYBTZLVUXH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH/action/storage_attestation","attest_author":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH/action/author_attestation","sign_citation":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH/action/citation_signature","submit_replication":"https://pith.science/pith/NT5BW3FM6ZS3SXNCCYBTZLVUXH/action/replication_record"}},"created_at":"2026-05-18T02:38:52.722804+00:00","updated_at":"2026-05-18T02:38:52.722804+00:00"}