Pith Number

pith:LHMWXY23

pith:2018:LHMWXY236PK3MAQYWZ2AT6L4AQ

not attested not anchored not stored refs pending

A central limit theorem for descents and major indices in fixed conjugacy classes of $S_n$

Gene B. Kim, Sangchul Lee

arxiv:1811.04578 v1 · 2018-11-12 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHMWXY236PK3MAQYWZ2AT6L4AQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:04.723837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d96be35bf3d5b60218b67409f97c041017b1b6ef948da43a513450e03ab4c4

Aliases

arxiv: 1811.04578 · arxiv_version: 1811.04578v1 · doi: 10.48550/arxiv.1811.04578 · pith_short_12: LHMWXY236PK3 · pith_short_16: LHMWXY236PK3MAQY · pith_short_8: LHMWXY23

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LHMWXY236PK3MAQYWZ2AT6L4AQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 59d96be35bf3d5b60218b67409f97c041017b1b6ef948da43a513450e03ab4c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8970de7de409a5faf60296140785d9126c163709c05b4ebe219861ba684417",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-12T06:37:43Z",
    "title_canon_sha256": "2e1871d85ca0c472c990a7d5c7ffac5fcd3d55e271add6c81ebb5efbe86755e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04578",
    "kind": "arxiv",
    "version": 1
  }
}