Pith Number

pith:DKK53SRB

pith:2011:DKK53SRBBRPB7OHAXUOXRXAYGF

not attested not anchored not stored refs pending

Random matrices: The Four Moment Theorem for Wigner ensembles

Terence Tao, Van Vu

arxiv:1112.1976 v1 · 2011-12-08 · 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{DKK53SRBBRPB7OHAXUOXRXAYGF}

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	2026-05-18T04:06:44.440127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a95ddca210c5e1fb8e0bd1d78dc18315c3b1fcf48656ad0aecb83e7b83bfbaa

Aliases

arxiv: 1112.1976 · arxiv_version: 1112.1976v1 · doi: 10.48550/arxiv.1112.1976 · pith_short_12: DKK53SRBBRPB · pith_short_16: DKK53SRBBRPB7OHA · pith_short_8: DKK53SRB

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/DKK53SRBBRPB7OHAXUOXRXAYGF \
  | 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: 1a95ddca210c5e1fb8e0bd1d78dc18315c3b1fcf48656ad0aecb83e7b83bfbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82de412b7bc1d9591c5003b4691e861588f7661e937253549e5794e6b3e759d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-08T22:25:42Z",
    "title_canon_sha256": "19cce08cfd4808199d2a721c0da1b60638b77d1c106c06fd62bda751674c2403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1976",
    "kind": "arxiv",
    "version": 1
  }
}