Pith Number

pith:IW4IL2VO

pith:2010:IW4IL2VOMV5HJ2OL5UM6IXKK2H

not attested not anchored not stored refs pending

Loop models, random matrices and planar algebras

A. Guionnet, D. Shlyakhtenko, P. Zinn-Justin, V. F. R. Jones

arxiv:1012.0619 v2 · 2010-12-03 · math.OA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW4IL2VOMV5HJ2OL5UM6IXKK2H}

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	2026-05-18T02:04:35.650601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b885eaae657a74e9cbed19e45d4ad1d888affdf4d70258e07eb9ca2a53ec01

Aliases

arxiv: 1012.0619 · arxiv_version: 1012.0619v2 · doi: 10.48550/arxiv.1012.0619 · pith_short_12: IW4IL2VOMV5H · pith_short_16: IW4IL2VOMV5HJ2OL · pith_short_8: IW4IL2VO

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/IW4IL2VOMV5HJ2OL5UM6IXKK2H \
  | 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: 45b885eaae657a74e9cbed19e45d4ad1d888affdf4d70258e07eb9ca2a53ec01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80524050298cfdfb34f4643708e78b4351cc87863de88f48d2d49d13b60cbb03",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-03T01:46:22Z",
    "title_canon_sha256": "e7dbaefdfdc98b30008324a1bbb8d9fc8e0605e40b23d6e633289c687258692a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0619",
    "kind": "arxiv",
    "version": 2
  }
}