Pith Number

pith:JTCCJXBA

pith:2010:JTCCJXBAWF4GLT55EO5WYORL47

not attested not anchored not stored refs pending

Limits of spiked random matrices I

Alex Bloemendal, B\'alint Vir\'ag

arxiv:1011.1877 v2 · 2010-11-08 · math.PR · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTCCJXBAWF4GLT55EO5WYORL47}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

The Tracy-Widom distribution at large Dyson index

Receipt and verification

First computed	2026-05-18T03:17:54.267858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc424dc20b17865cfbd23bb6c3a2be7d9d716a28da818cc079894d6ba7fddd1

Aliases

arxiv: 1011.1877 · arxiv_version: 1011.1877v2 · doi: 10.48550/arxiv.1011.1877 · pith_short_12: JTCCJXBAWF4G · pith_short_16: JTCCJXBAWF4GLT55 · pith_short_8: JTCCJXBA

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/JTCCJXBAWF4GLT55EO5WYORL47 \
  | 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: 4cc424dc20b17865cfbd23bb6c3a2be7d9d716a28da818cc079894d6ba7fddd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3620d0e63a30dab3dd798777732114431f2947ba97d928a8d56d2c7198ba899",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-08T19:05:52Z",
    "title_canon_sha256": "eaf8d9c00282124b5477829ee938c70ea83ffe8830214d2e9782785cc5defaa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1877",
    "kind": "arxiv",
    "version": 2
  }
}