Pith Number

pith:AADMQIHO

pith:2013:AADMQIHO4QLYNQSVKMMWY2MXEO

not attested not anchored not stored refs pending

Extreme Eigenvalues of Large Dimensional Quaternion Sample Covariance Matrix

Huiqin Li, Zhidong Bai

arxiv:1312.4649 v1 · 2013-12-17 · 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{AADMQIHO4QLYNQSVKMMWY2MXEO}

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	2026-05-18T03:04:23.417356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0006c820eee41786c25553196c699723b57f9c68b4536a29fbf5d1388acb060e

Aliases

arxiv: 1312.4649 · arxiv_version: 1312.4649v1 · doi: 10.48550/arxiv.1312.4649 · pith_short_12: AADMQIHO4QLY · pith_short_16: AADMQIHO4QLYNQSV · pith_short_8: AADMQIHO

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/AADMQIHO4QLYNQSVKMMWY2MXEO \
  | 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: 0006c820eee41786c25553196c699723b57f9c68b4536a29fbf5d1388acb060e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed08fd3730c25d96caa44e6c2437afffc5f9c5d17fe73f2b6a1ba4e99dc290f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-17T05:28:42Z",
    "title_canon_sha256": "76d8b665423dd1dc2b6b1c808265fe0abbd4a8f33b48e3f84690d2591be43a7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4649",
    "kind": "arxiv",
    "version": 1
  }
}