Pith Number

pith:PNOQKR6X

pith:2011:PNOQKR6XHCGEI7TWGSQDIMFQYR

not attested not anchored not stored refs pending

A central limit theorem for the determinant of a Wigner matrix

Terence Tao, Van Vu

arxiv:1111.6300 v3 · 2011-11-27 · 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{PNOQKR6XHCGEI7TWGSQDIMFQYR}

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	2026-05-18T03:59:02.955338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5d0547d7388c447e7634a03430b0c47a02575532b9e067d985318defacd82f

Aliases

arxiv: 1111.6300 · arxiv_version: 1111.6300v3 · doi: 10.48550/arxiv.1111.6300 · pith_short_12: PNOQKR6XHCGE · pith_short_16: PNOQKR6XHCGEI7TW · pith_short_8: PNOQKR6X

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/PNOQKR6XHCGEI7TWGSQDIMFQYR \
  | 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: 7b5d0547d7388c447e7634a03430b0c47a02575532b9e067d985318defacd82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63e036fe7c7ae917e45e9b59a731d9ac8cbbd585b0fd9cf78ff7d006d0b50cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-27T21:38:26Z",
    "title_canon_sha256": "369b950f1037701523e8b7a4c01e5a778ee3d98563c5a8f48e95316aa7aad60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6300",
    "kind": "arxiv",
    "version": 3
  }
}