Pith Number

pith:3EU7H7IN

pith:2011:3EU7H7INFQZTQNIHNKHK25SWYN

not attested not anchored not stored refs pending

Row products of random matrices

Mark Rudelson

arxiv:1102.1947 v2 · 2011-02-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EU7H7INFQZTQNIHNKHK25SWYN}

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	2026-05-18T03:54:15.344478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d929f3fd0d2c333835076a8ead7656c35d7bd2219948c90c5241dbb3027d2673

Aliases

arxiv: 1102.1947 · arxiv_version: 1102.1947v2 · doi: 10.48550/arxiv.1102.1947 · pith_short_12: 3EU7H7INFQZT · pith_short_16: 3EU7H7INFQZTQNIH · pith_short_8: 3EU7H7IN

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/3EU7H7INFQZTQNIHNKHK25SWYN \
  | 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: d929f3fd0d2c333835076a8ead7656c35d7bd2219948c90c5241dbb3027d2673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e96c847885fb02318f49aa4a14c8ce11b92efe6b12436987f8e69ccf687326a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-09T19:30:44Z",
    "title_canon_sha256": "22d9ca903b0b92e57094b1d21cbaf6013f05a1935cb63ebf89782b029765d5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1947",
    "kind": "arxiv",
    "version": 2
  }
}