Pith Number

pith:MLKRVCJA

pith:2016:MLKRVCJAX4QVUFRO3JCENYDDND

not attested not anchored not stored refs pending

Eigenvector statistics of the product of Ginibre matrices

Bart{\l}omiej J. Spisak, Pierpaolo Vivo, Zdzis{\l}aw Burda

arxiv:1610.09184 v2 · 2016-10-28 · cond-mat.stat-mech · math-ph · math.MP · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLKRVCJAX4QVUFRO3JCENYDDND}

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	2026-05-18T00:49:51.388556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d51a8920bf215a162eda4446e06368f9f9f96026ad5533b529dfff20b2af35

Aliases

arxiv: 1610.09184 · arxiv_version: 1610.09184v2 · doi: 10.48550/arxiv.1610.09184 · pith_short_12: MLKRVCJAX4QV · pith_short_16: MLKRVCJAX4QVUFRO · pith_short_8: MLKRVCJA

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/MLKRVCJAX4QVUFRO3JCENYDDND \
  | 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: 62d51a8920bf215a162eda4446e06368f9f9f96026ad5533b529dfff20b2af35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4564e163449ea1a9dbf06870464adc03af1a486eeff6c976ccd4937a19967521",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-10-28T12:19:47Z",
    "title_canon_sha256": "605334ee884b5f55b00045adcd77cbbbee93024187d977a56c706efdbaf0fbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09184",
    "kind": "arxiv",
    "version": 2
  }
}