Pith Number

pith:WTOLFK2C

pith:2014:WTOLFK2CE4QY4U4LSUGCOKIA5T

not attested not anchored not stored refs pending

Convergence of eigenvalues to the support of the limiting measure in critical $\beta$ matrix models

Alice Guionnet, Andi Wang, Chenjie Fan, Yuqi Song

arxiv:1402.1796 v3 · 2014-02-07 · 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{WTOLFK2CE4QY4U4LSUGCOKIA5T}

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	2026-05-18T02:00:59.157811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4dcb2ab4227218e538b950c272900ecdd37a8a3895ebe33401ecd11de9ebf79

Aliases

arxiv: 1402.1796 · arxiv_version: 1402.1796v3 · doi: 10.48550/arxiv.1402.1796 · pith_short_12: WTOLFK2CE4QY · pith_short_16: WTOLFK2CE4QY4U4L · pith_short_8: WTOLFK2C

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/WTOLFK2CE4QY4U4LSUGCOKIA5T \
  | 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: b4dcb2ab4227218e538b950c272900ecdd37a8a3895ebe33401ecd11de9ebf79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c895c88d242cb84c92db7e73bdbde63d0b4c2b99bed8d487410db867e3cebf86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-07T23:24:10Z",
    "title_canon_sha256": "3968e7ef782844e4d10eef46383d09e965b12f8b287cea1bea2009f274d70888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1796",
    "kind": "arxiv",
    "version": 3
  }
}