Pith Number

pith:2OP2YBJE

pith:2000:2OP2YBJELN3CO2JK7LPLEEMBUE

not attested not anchored not stored refs pending

Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra

S. M. Nishigaki, T. Nagao

arxiv:hep-th/0003009 v2 · 2000-03-01 · hep-th · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OP2YBJELN3CO2JK7LPLEEMBUE}

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.

Cited by

1 paper in Pith

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-07-04T16:20:40.489227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39fac05245b7627692afadeb21181a12fcd7099b4020218f8d0c534fa91453b

Aliases

arxiv: hep-th/0003009 · arxiv_version: hep-th/0003009v2 · doi: 10.48550/arxiv.hep-th/0003009 · pith_short_12: 2OP2YBJELN3C · pith_short_16: 2OP2YBJELN3CO2JK · pith_short_8: 2OP2YBJE

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/2OP2YBJELN3CO2JK7LPLEEMBUE \
  | 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: d39fac05245b7627692afadeb21181a12fcd7099b4020218f8d0c534fa91453b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0e28e8c731231203cff66ee3c0e8ff7fed4ede0a88d742bba6ab64a12b056f",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-01T20:20:37Z",
    "title_canon_sha256": "034166bcb7e06b9c93bff216796b2ab7ce4efd085032febc9b1806be96b42171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003009",
    "kind": "arxiv",
    "version": 2
  }
}