Pith Number

pith:TJGWI2D5

pith:2014:TJGWI2D5MWKOHB7L2TDJAD4DLE

not attested not anchored not stored refs pending

Eigenvalue statistics for product complex Wishart matrices

Peter J. Forrester

arxiv:1401.2572 v2 · 2014-01-11 · 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{TJGWI2D5MWKOHB7L2TDJAD4DLE}

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	2026-05-18T01:45:26.438136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4d64687d6594e387ebd4c6900f83591d3fec46332a42aa22320c24bd825331

Aliases

arxiv: 1401.2572 · arxiv_version: 1401.2572v2 · doi: 10.48550/arxiv.1401.2572 · pith_short_12: TJGWI2D5MWKO · pith_short_16: TJGWI2D5MWKOHB7L · pith_short_8: TJGWI2D5

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/TJGWI2D5MWKOHB7L2TDJAD4DLE \
  | 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: 9a4d64687d6594e387ebd4c6900f83591d3fec46332a42aa22320c24bd825331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dab3d2db216a831492ce2585b2c219185f90032adad6f98a68a33bd8e4a0c286",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-11T22:21:27Z",
    "title_canon_sha256": "615ce4fc513e80f948b1c45d91a070b1f88d164b395ae90f722a2acc7e58959f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2572",
    "kind": "arxiv",
    "version": 2
  }
}