Pith Number

pith:KTFOM5BJ

pith:2016:KTFOM5BJ7VQAQ3RH7CAMNQYSPO

not attested not anchored not stored refs pending

Local law for random Gram matrices

Johannes Alt, L\'aszl\'o Erd\H{o}s, Torben Kr\"uger

arxiv:1606.07353 v2 · 2016-06-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTFOM5BJ7VQAQ3RH7CAMNQYSPO}

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	2026-05-18T00:48:59.991363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cae67429fd60086e27f880c6c3127b8653501558ca40dc9cd88f1b00aacbfa

Aliases

arxiv: 1606.07353 · arxiv_version: 1606.07353v2 · doi: 10.48550/arxiv.1606.07353 · pith_short_12: KTFOM5BJ7VQA · pith_short_16: KTFOM5BJ7VQAQ3RH · pith_short_8: KTFOM5BJ

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/KTFOM5BJ7VQAQ3RH7CAMNQYSPO \
  | 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: 54cae67429fd60086e27f880c6c3127b8653501558ca40dc9cd88f1b00aacbfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b052ea9e54ea751b0cad8820b2275d43a7c2985fac16d99569c09ac37dedf14e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-23T15:55:08Z",
    "title_canon_sha256": "1c5d87598f84d59ecc77facbe5fe1305bbfd471b43f05034125918bdcdf23fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07353",
    "kind": "arxiv",
    "version": 2
  }
}