Pith Number

pith:C2ZG5IHT

pith:2018:C2ZG5IHTWSD2KGAY4UOXD5CFQC

not attested not anchored not stored refs pending

A functional CLT for partial traces of random matrices

Jan Nagel

arxiv:1803.02151 v2 · 2018-03-06 · 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{C2ZG5IHTWSD2KGAY4UOXD5CFQC}

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	2026-05-17T23:40:14.258812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b26ea0f3b487a51818e51d71f44580aa2f83e09c5bc528752fa2f1903cc706

Aliases

arxiv: 1803.02151 · arxiv_version: 1803.02151v2 · doi: 10.48550/arxiv.1803.02151 · pith_short_12: C2ZG5IHTWSD2 · pith_short_16: C2ZG5IHTWSD2KGAY · pith_short_8: C2ZG5IHT

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/C2ZG5IHTWSD2KGAY4UOXD5CFQC \
  | 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: 16b26ea0f3b487a51818e51d71f44580aa2f83e09c5bc528752fa2f1903cc706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642a1d611b9c727b91d83a25abcda7b23f35a67e735d84863ac28c39ba91776d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-06T12:57:50Z",
    "title_canon_sha256": "41b55635f063bedb6fbcf483f8029b7766b5e86b5f196c8fa6d0f101ce3cd615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02151",
    "kind": "arxiv",
    "version": 2
  }
}