Pith Number

pith:H42NPBK5

pith:2012:H42NPBK54MQT7N5FTRPRHCAWOK

not attested not anchored not stored refs pending

Central limit theorem for partial linear eigenvalue statistics of Wigner matrices

Guangming Pan, Wang Zhou, Zhigang Bao

arxiv:1206.0508 v1 · 2012-06-04 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H42NPBK54MQT7N5FTRPRHCAWOK}

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	2026-05-18T01:57:08.357972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f34d7855de3213fb7a59c5f13881672a50ca1628c56d2ab256241a415cd9b37

Aliases

arxiv: 1206.0508 · arxiv_version: 1206.0508v1 · doi: 10.48550/arxiv.1206.0508 · pith_short_12: H42NPBK54MQT · pith_short_16: H42NPBK54MQT7N5F · pith_short_8: H42NPBK5

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/H42NPBK54MQT7N5FTRPRHCAWOK \
  | 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: 3f34d7855de3213fb7a59c5f13881672a50ca1628c56d2ab256241a415cd9b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a91312f0fc41a1639d17a8f83d67ef68dd9471e644c923cdbff5100e9100672",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-04T02:15:38Z",
    "title_canon_sha256": "fb453bc7adf35d81e9c7e385f8e99ed68c0d5d6628498a3f629105c45e23b46b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0508",
    "kind": "arxiv",
    "version": 1
  }
}