Pith Number

pith:SC7DKIXE

pith:2012:SC7DKIXEE3FKFA6DNN4XVVMVHY

not attested not anchored not stored refs pending

The asymptotic distribution of a single eigenvalue gap of a Wigner matrix

Terence Tao

arxiv:1203.1605 v3 · 2012-03-07 · 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{SC7DKIXEE3FKFA6DNN4XVVMVHY}

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	2026-05-18T03:46:45.252955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90be3522e426caa283c36b797ad5953e2f4abe6bfa7a0f09471b24e4f39dc297

Aliases

arxiv: 1203.1605 · arxiv_version: 1203.1605v3 · doi: 10.48550/arxiv.1203.1605 · pith_short_12: SC7DKIXEE3FK · pith_short_16: SC7DKIXEE3FKFA6D · pith_short_8: SC7DKIXE

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/SC7DKIXEE3FKFA6DNN4XVVMVHY \
  | 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: 90be3522e426caa283c36b797ad5953e2f4abe6bfa7a0f09471b24e4f39dc297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53ab6e37eb840db088d971d75359581d593628f710c49f5367f82db2b8f3143",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-07T20:44:24Z",
    "title_canon_sha256": "162060a11ea75103c3b46d2902b9e5849cadd50676c67df4a7248ce0e0c22abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1605",
    "kind": "arxiv",
    "version": 3
  }
}