Pith Number

pith:ZLOEVJMR

pith:2009:ZLOEVJMRN27BDYAGPADII3YA5I

not attested not anchored not stored refs pending

Matrix averages relating to the Ginibre ensembles

Eric M. Rains, Peter J. Forrester

arxiv:0907.0287 v1 · 2009-07-02 · 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{ZLOEVJMRN27BDYAGPADII3YA5I}

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	2026-05-18T01:49:56.417050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cadc4aa5916ebe11e0067806846f00ea14b74130131624941ca2b958a0d8d38d

Aliases

arxiv: 0907.0287 · arxiv_version: 0907.0287v1 · doi: 10.48550/arxiv.0907.0287 · pith_short_12: ZLOEVJMRN27B · pith_short_16: ZLOEVJMRN27BDYAG · pith_short_8: ZLOEVJMR

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/ZLOEVJMRN27BDYAGPADII3YA5I \
  | 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: cadc4aa5916ebe11e0067806846f00ea14b74130131624941ca2b958a0d8d38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4963b5fca27ef736952f8a3a8f68a50c8b1769ea553a5d10278d86299ef7fad4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-02T04:51:24Z",
    "title_canon_sha256": "8f2287f3537304300b14b516e8e8e219f5d3942c17148c7387f18151de8f5b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0287",
    "kind": "arxiv",
    "version": 1
  }
}