Pith Number

pith:AG7ZY6TO

pith:2011:AG7ZY6TOZ2RQ3Y3D7BMXPRHF63

not attested not anchored not stored refs pending

On asymptotic expansion and CLT of linear eigenvalue statistics for sample covariance matrices when $N/M\rightarrow0$

Zhigang Bao

arxiv:1104.3470 v3 · 2011-04-18 · 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{AG7ZY6TOZ2RQ3Y3D7BMXPRHF63}

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	2026-05-18T04:08:22.224664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01bf9c7a6ecea30de363f85977c4e5f6d7cbe8befd5fa18826cefbfae581b96c

Aliases

arxiv: 1104.3470 · arxiv_version: 1104.3470v3 · doi: 10.48550/arxiv.1104.3470 · pith_short_12: AG7ZY6TOZ2RQ · pith_short_16: AG7ZY6TOZ2RQ3Y3D · pith_short_8: AG7ZY6TO

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/AG7ZY6TOZ2RQ3Y3D7BMXPRHF63 \
  | 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: 01bf9c7a6ecea30de363f85977c4e5f6d7cbe8befd5fa18826cefbfae581b96c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60720b355a19065a2e219d78f4dea1145dc554500fa066bcb508d60680f49db3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-18T13:07:55Z",
    "title_canon_sha256": "eda3c81e9b1872d84e33f86ea577f647d379d7254a464e3f79d878e168582588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3470",
    "kind": "arxiv",
    "version": 3
  }
}