Pith Number

pith:IT76CGH6

pith:2013:IT76CGH6VBZQV3W5O5XOIHX2SD

not attested not anchored not stored refs pending

On the limit of extreme eigenvalues of large dimensional random quaternion matrices

Jiang Hu, Yanqing Yin, Zhidong Bai

arxiv:1312.1433 v2 · 2013-12-05 · 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{IT76CGH6VBZQV3W5O5XOIHX2SD}

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	2026-05-18T02:55:58.727814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ffe118fea8730aeedd776ee41efa90eb63bd602436aa0194af25f1ca6c5481

Aliases

arxiv: 1312.1433 · arxiv_version: 1312.1433v2 · doi: 10.48550/arxiv.1312.1433 · pith_short_12: IT76CGH6VBZQ · pith_short_16: IT76CGH6VBZQV3W5 · pith_short_8: IT76CGH6

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/IT76CGH6VBZQV3W5O5XOIHX2SD \
  | 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: 44ffe118fea8730aeedd776ee41efa90eb63bd602436aa0194af25f1ca6c5481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d354f977417d477d949d714ccde336e5c5c9267b7b0020e7ae75dc0841da03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-05T04:37:13Z",
    "title_canon_sha256": "7d596415eeb46a7f77a02da7b091fa89d07b1b989bff276840ba60eb6a8932ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1433",
    "kind": "arxiv",
    "version": 2
  }
}