Pith Number

pith:BHUQ2EYY

pith:2012:BHUQ2EYYUVQJ4BBB6FAV2VO37H

not attested not anchored not stored refs pending

Convergence of the empirical spectral distribution function of Beta matrices

Guangming Pan, Jiang Hu, Wang Zhou, Zhidong Bai

arxiv:1208.5953 v3 · 2012-08-29 · 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{BHUQ2EYYUVQJ4BBB6FAV2VO37H}

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	2026-05-18T01:36:11.519096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e90d1318a5609e0421f1415d55dbf9eeacfb30ac5fd2252334707b158d6ce3

Aliases

arxiv: 1208.5953 · arxiv_version: 1208.5953v3 · doi: 10.48550/arxiv.1208.5953 · pith_short_12: BHUQ2EYYUVQJ · pith_short_16: BHUQ2EYYUVQJ4BBB · pith_short_8: BHUQ2EYY

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/BHUQ2EYYUVQJ4BBB6FAV2VO37H \
  | 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: 09e90d1318a5609e0421f1415d55dbf9eeacfb30ac5fd2252334707b158d6ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f660c0ed709e56e68a97a13f2d2a58f7309da172c7f7d5def4ca3879820fa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-29T16:04:47Z",
    "title_canon_sha256": "976a65170b41fdab6256caa31f7b23a54d6b444a186bbd4b4d91d8f0ab81fc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5953",
    "kind": "arxiv",
    "version": 3
  }
}