{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NT5BW3FM6ZS3SXNCCYBTZLVUXH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"45cb1018a7f4eed67fdd2febbfe209040949977a9b1859ddf00f8c0fcb866484","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-10-31T16:02:09Z","title_canon_sha256":"a75c6b6667b5c545f1386515f19f321e368bee8f259c932cd37a4997762cb2dd"},"schema_version":"1.0","source":{"id":"1411.0002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0002","created_at":"2026-05-18T02:38:52Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0002v1","created_at":"2026-05-18T02:38:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0002","created_at":"2026-05-18T02:38:52Z"},{"alias_kind":"pith_short_12","alias_value":"NT5BW3FM6ZS3","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NT5BW3FM6ZS3SXNC","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NT5BW3FM","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:5eeaa3dcddf79e9ba1343badee0b4833f9ac36eddacf93140a879c0afc2b9c45","target":"graph","created_at":"2026-05-18T02:38:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-10-31T16:02:09Z","title":"A Quick Empirical Reproof of the Asymptotic Normality of the Hirsch Citation Index (First proved by Canfield, Corteel, and Savage)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0002","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c28aedbc1d71c1e279b2834484b0f57e480385afaa4802e7d838edd4968aaa6b","target":"record","created_at":"2026-05-18T02:38:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"45cb1018a7f4eed67fdd2febbfe209040949977a9b1859ddf00f8c0fcb866484","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-10-31T16:02:09Z","title_canon_sha256":"a75c6b6667b5c545f1386515f19f321e368bee8f259c932cd37a4997762cb2dd"},"schema_version":"1.0","source":{"id":"1411.0002","kind":"arxiv","version":1}},"canonical_sha256":"6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cfa1b6cacf665b95da216033caeb4b9ffbf2eaa71ff6d43161adf88b8726523","first_computed_at":"2026-05-18T02:38:52.722752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:52.722752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"33WRqossmT8YrhEmGZXgHjsnK4vUxrypAvihtIWlv1Rill4Nu59SFcKEsdd9bKu13q32JLcFbKyqvaiCP2i+AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:52.723131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c28aedbc1d71c1e279b2834484b0f57e480385afaa4802e7d838edd4968aaa6b","sha256:5eeaa3dcddf79e9ba1343badee0b4833f9ac36eddacf93140a879c0afc2b9c45"],"state_sha256":"da406bf2ea34e8f3f4a4f2c10798aa9b6392c369770430696251bff031f97710"}