Pith Number

pith:H74TKA22

pith:2009:H74TKA22NEP5LG5T4XI32PWFYI

not attested not anchored not stored refs pending

Spectrum of the Product of Independent Random Gaussian Matrices

B. Waclaw, R. A. Janik, Z. Burda

arxiv:0912.3422 v2 · 2009-12-17 · cond-mat.stat-mech · cond-mat.other · 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{H74TKA22NEP5LG5T4XI32PWFYI}

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	2026-05-18T03:23:56.404424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff935035a691fd59bb3e5d1bd3ec5c20115b0398a8c9c100187cb3a157c416b

Aliases

arxiv: 0912.3422 · arxiv_version: 0912.3422v2 · doi: 10.48550/arxiv.0912.3422 · pith_short_12: H74TKA22NEP5 · pith_short_16: H74TKA22NEP5LG5T · pith_short_8: H74TKA22

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/H74TKA22NEP5LG5T4XI32PWFYI \
  | 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: 3ff935035a691fd59bb3e5d1bd3ec5c20115b0398a8c9c100187cb3a157c416b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321ef5158b8900fd1a8108a188579e6223d8daad7b4ed4a7af4d159e01de7c50",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-17T18:38:27Z",
    "title_canon_sha256": "5d5d076759bf1542700a3c89c25f9ea067df6200819002f2cf2ce86c6c742e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3422",
    "kind": "arxiv",
    "version": 2
  }
}