Pith Number

pith:SF5FSCIC

pith:2000:SF5FSCICEUIUW374JY4SEIYE5D

not attested not anchored not stored refs pending

On the Law of Addition of Random Matrices

(2) U.F.R. de Math\'ematiques, 3), 3) ((1) Centre de Physique Th\'eorique de CNRS, (3) Institute for Low Temperature Physics, France, Kharkov, L. Pastur (1, Luminy, Marseille, Ukraine), Universit\'e Paris 7, V. Vasilchuk (2

arxiv:math-ph/0003043 v1 · 2000-03-29 · 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{SF5FSCICEUIUW374JY4SEIYE5D}

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	2026-05-18T01:09:08.001612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917a59090225114b6ffc4e39222304e8cb320caaa158d1112c923a5ef47f3548

Aliases

arxiv: math-ph/0003043 · arxiv_version: math-ph/0003043v1 · doi: 10.48550/arxiv.math-ph/0003043 · pith_short_12: SF5FSCICEUIU · pith_short_16: SF5FSCICEUIUW374 · pith_short_8: SF5FSCIC

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/SF5FSCICEUIUW374JY4SEIYE5D \
  | 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: 917a59090225114b6ffc4e39222304e8cb320caaa158d1112c923a5ef47f3548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011f4eb429ca416441e189e917456863c300083fc651abaea2be9f37984ffe1a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-03-29T16:52:25Z",
    "title_canon_sha256": "38c7edbf227a44173e5f639e5c69709ece7a00379db9f5d6257d831f1725c85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0003043",
    "kind": "arxiv",
    "version": 1
  }
}