Pith Number

pith:4KGSQKHG

pith:2014:4KGSQKHGWPES7M5XNCMHOQMMW5

not attested not anchored not stored refs pending

Random matrices have simple spectrum

Terence Tao, Van Vu

arxiv:1412.1438 v1 · 2014-12-03 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KGSQKHGWPES7M5XNCMHOQMMW5}

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	2026-05-18T02:32:12.483033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28d2828e6b3c92fb3b7689877418cb762fcf52efa168628192b5eb1d148a05d

Aliases

arxiv: 1412.1438 · arxiv_version: 1412.1438v1 · doi: 10.48550/arxiv.1412.1438 · pith_short_12: 4KGSQKHGWPES · pith_short_16: 4KGSQKHGWPES7M5X · pith_short_8: 4KGSQKHG

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/4KGSQKHGWPES7M5XNCMHOQMMW5 \
  | 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: e28d2828e6b3c92fb3b7689877418cb762fcf52efa168628192b5eb1d148a05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f726a53fc3e4fc19160ddbc9e6d195e09b44b4ab90304718c3deb3de15cd8d0f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-03T18:49:47Z",
    "title_canon_sha256": "a1a70124ef1620004ff54929cb7e666b992c089a248acc97452350db53763e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1438",
    "kind": "arxiv",
    "version": 1
  }
}