Pith Number

pith:CYPJTYN5

pith:2011:CYPJTYN5QLQJVZAYDOOSYXJD6L

not attested not anchored not stored refs pending

Local Semicircle law and Gaussian fluctuation for Hermite $\beta$ ensemble

Zhigang Bao, Zhonggen Su

arxiv:1104.3431 v1 · 2011-04-18 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYPJTYN5QLQJVZAYDOOSYXJD6L}

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	2026-05-18T04:24:05.103170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161e99e1bd82e09ae4181b9d2c5d23f2f5a8b3a7b21e76757b1b445202047ac7

Aliases

arxiv: 1104.3431 · arxiv_version: 1104.3431v1 · doi: 10.48550/arxiv.1104.3431 · pith_short_12: CYPJTYN5QLQJ · pith_short_16: CYPJTYN5QLQJVZAY · pith_short_8: CYPJTYN5

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/CYPJTYN5QLQJVZAYDOOSYXJD6L \
  | 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: 161e99e1bd82e09ae4181b9d2c5d23f2f5a8b3a7b21e76757b1b445202047ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecdef26ed700293a2bea9e148f41852bf68a968a02827491de83afc9dd127cb3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-18T11:01:41Z",
    "title_canon_sha256": "104bee6f4bc2e6252b9e972d415a58b3e61b6193a3489902a865ba7a3a2df93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3431",
    "kind": "arxiv",
    "version": 1
  }
}