Pith Number

pith:R6C5SZ6G

pith:2011:R6C5SZ6GU4WSTGEYMQM6KI5WMU

not attested not anchored not stored refs pending

Concentration for noncommutative polynomials in random matrices

Mark W. Meckes, Stanislaw J. Szarek

arxiv:1101.1923 v3 · 2011-01-10 · 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{R6C5SZ6GU4WSTGEYMQM6KI5WMU}

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	2026-05-18T03:51:58.727802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f85d967c6a72d2998986419e523b66516100822227bb112ceef738a0d2b9f85

Aliases

arxiv: 1101.1923 · arxiv_version: 1101.1923v3 · doi: 10.48550/arxiv.1101.1923 · pith_short_12: R6C5SZ6GU4WS · pith_short_16: R6C5SZ6GU4WSTGEY · pith_short_8: R6C5SZ6G

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/R6C5SZ6GU4WSTGEYMQM6KI5WMU \
  | 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: 8f85d967c6a72d2998986419e523b66516100822227bb112ceef738a0d2b9f85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf1adbb65be74ab0011aa6de697dc3b4ee0ad80961ae273738cddbf58b0693f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-10T18:44:34Z",
    "title_canon_sha256": "d371fa89a9789f4e0cb55580d48a9d4aaab0e4329d6a41b5bfbc6dc3dd4c05d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1923",
    "kind": "arxiv",
    "version": 3
  }
}