Pith Number

pith:XEVU72OF

pith:2014:XEVU72OFS2E3YGIYQUGKDS2WAZ

not attested not anchored not stored refs pending

Necessary and sufficient conditions for the asymptotic distributions of coherence of ultra-high dimensional random matrices

Qi-Man Shao, Wen-Xin Zhou

arxiv:1402.6173 v1 · 2014-02-25 · 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{XEVU72OFS2E3YGIYQUGKDS2WAZ}

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	2026-05-18T02:57:51.444441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92b4fe9c59689bc1918850ca1cb56064c92f0cc3b065a982ee33a40784a08b5

Aliases

arxiv: 1402.6173 · arxiv_version: 1402.6173v1 · doi: 10.48550/arxiv.1402.6173 · pith_short_12: XEVU72OFS2E3 · pith_short_16: XEVU72OFS2E3YGIY · pith_short_8: XEVU72OF

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/XEVU72OFS2E3YGIYQUGKDS2WAZ \
  | 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: b92b4fe9c59689bc1918850ca1cb56064c92f0cc3b065a982ee33a40784a08b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b907a8cee65e3212e80e0fa60d1a450ab1a047db4dcacea8972e0599a84c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-25T14:09:10Z",
    "title_canon_sha256": "6c1d073147fae1c808be85103789816ce80c0f47c233458e02bf83e22d892c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6173",
    "kind": "arxiv",
    "version": 1
  }
}