Pith Number

pith:QPRSWBUG

pith:2010:QPRSWBUGHPAB4AL36BHKOOK3TJ

not attested not anchored not stored refs pending

Random Matrices and complexity of Spin Glasses

A. Auffinger, G. Ben Arous, J. Cerny

arxiv:1003.1129 v2 · 2010-03-04 · 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{QPRSWBUGHPAB4AL36BHKOOK3TJ}

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	2026-05-18T04:09:35.225856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e32b06863bc01e017bf04ea7395b9a4d7bab2a3595819163c8037d28d14d4d

Aliases

arxiv: 1003.1129 · arxiv_version: 1003.1129v2 · doi: 10.48550/arxiv.1003.1129 · pith_short_12: QPRSWBUGHPAB · pith_short_16: QPRSWBUGHPAB4AL3 · pith_short_8: QPRSWBUG

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/QPRSWBUGHPAB4AL36BHKOOK3TJ \
  | 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: 83e32b06863bc01e017bf04ea7395b9a4d7bab2a3595819163c8037d28d14d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f99ec50cda1e5c162aff768e012f1386d463e13c9fcac8861489cbfce1562d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-04T20:47:49Z",
    "title_canon_sha256": "d3b244dcf5a017cd31f1cc35c5d7c1ace5f6cdd8445e51efc870f870a5724919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1129",
    "kind": "arxiv",
    "version": 2
  }
}