Pith Number

pith:JHXXO247

pith:2000:JHXXO2477MHEUWRKV5ERRFWJZC

not attested not anchored not stored refs pending

Gap probabilities in the finite and scaled Cauchy random matrix ensembles

N.S. Witte, P.J. Forrester

arxiv:math-ph/0009022 v1 · 2000-09-14 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHXXO2477MHEUWRKV5ERRFWJZC}

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	2026-05-18T01:05:32.150616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ef776b9ffb0e4a5a2aaf491896c9c8af7b519f59b8a9a279fe97271fb469cb

Aliases

arxiv: math-ph/0009022 · arxiv_version: math-ph/0009022v1 · doi: 10.48550/arxiv.math-ph/0009022 · pith_short_12: JHXXO2477MHE · pith_short_16: JHXXO2477MHEUWRK · pith_short_8: JHXXO247

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/JHXXO2477MHEUWRKV5ERRFWJZC \
  | 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: 49ef776b9ffb0e4a5a2aaf491896c9c8af7b519f59b8a9a279fe97271fb469cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5fdfe66c3182aa4ab0a805652ac2b510686ca10471e60f87f96b735b2dd38b",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-09-14T22:33:03Z",
    "title_canon_sha256": "d194072eb69ba90e53c9fceed5a71a468da8bbbbe5835c9880998c6f8a4a73bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0009022",
    "kind": "arxiv",
    "version": 1
  }
}