Pith Number

pith:6TWZ2KCM

pith:2009:6TWZ2KCMQCP5XHO5CXI2DQLUQ7

not attested not anchored not stored refs pending

Random matrices: Universality of local eigenvalue statistics up to the edge

Terence Tao, Van Vu

arxiv:0908.1982 v4 · 2009-08-13 · 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{6TWZ2KCMQCP5XHO5CXI2DQLUQ7}

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	2026-05-18T02:12:34.447763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ed9d284c809fdb9ddd15d1a1c17487d9c00b9a6431589320beaf27ae1f9568

Aliases

arxiv: 0908.1982 · arxiv_version: 0908.1982v4 · doi: 10.48550/arxiv.0908.1982 · pith_short_12: 6TWZ2KCMQCP5 · pith_short_16: 6TWZ2KCMQCP5XHO5 · pith_short_8: 6TWZ2KCM

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/6TWZ2KCMQCP5XHO5CXI2DQLUQ7 \
  | 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: f4ed9d284c809fdb9ddd15d1a1c17487d9c00b9a6431589320beaf27ae1f9568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cef71c84ea6998d0a5381e45b3c6c6e6d0a77014a7f8c84aedc5eaabcb28454",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-13T21:15:50Z",
    "title_canon_sha256": "8ea39a70b1688d8ae067924bdc91d8ccc81e145c97919d8f65989d272914d5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1982",
    "kind": "arxiv",
    "version": 4
  }
}