Pith Number

pith:KSAXCQRO

pith:2012:KSAXCQROGMLMXGUVLYDXCWU4QM

not attested not anchored not stored refs pending

Random matrices: The Universality phenomenon for Wigner ensembles

Terence Tao, Van Vu

arxiv:1202.0068 v1 · 2012-02-01 · 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{KSAXCQROGMLMXGUVLYDXCWU4QM}

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	2026-05-18T04:03:20.586001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548171422e3316cb9a955e07715a9c832e71d804347753fe69baedb59b819954

Aliases

arxiv: 1202.0068 · arxiv_version: 1202.0068v1 · doi: 10.48550/arxiv.1202.0068 · pith_short_12: KSAXCQROGMLM · pith_short_16: KSAXCQROGMLMXGUV · pith_short_8: KSAXCQRO

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/KSAXCQROGMLMXGUVLYDXCWU4QM \
  | 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: 548171422e3316cb9a955e07715a9c832e71d804347753fe69baedb59b819954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff4b485e1a6ca052b655d268eee7799ec4c5b13df51e117b3ead0c673d70a95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-01T01:05:14Z",
    "title_canon_sha256": "960e620ea3d28b115f622a0015690dd6e4e48af8e3b5eacf639f496022424191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0068",
    "kind": "arxiv",
    "version": 1
  }
}