Pith Number

pith:4FPWEFYI

pith:2011:4FPWEFYIJGKJG3YOJPSJ5LRG37

not attested not anchored not stored refs pending

Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary

Christopher D. Sinclair, Maxim L. Yattselev

arxiv:1108.3052 v2 · 2011-08-15 · math.CA · math-ph · math.MP · 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{4FPWEFYIJGKJG3YOJPSJ5LRG37}

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	2026-05-18T03:51:58.625155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15f6217084994936f0e4be49eae26dfc11c950ea32df1bd882df1dcf866bb65

Aliases

arxiv: 1108.3052 · arxiv_version: 1108.3052v2 · doi: 10.48550/arxiv.1108.3052 · pith_short_12: 4FPWEFYIJGKJ · pith_short_16: 4FPWEFYIJGKJG3YO · pith_short_8: 4FPWEFYI

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/4FPWEFYIJGKJG3YOJPSJ5LRG37 \
  | 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: e15f6217084994936f0e4be49eae26dfc11c950ea32df1bd882df1dcf866bb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96acfa084dd36b7c31bd38cf6535c2a3d7d686a06ecf2b29160d941e32ad609d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-15T18:44:29Z",
    "title_canon_sha256": "f3c5deff07e5d31fd5b95655fb5d4da9c2e31f62baee903f5d08780c82fbff35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3052",
    "kind": "arxiv",
    "version": 2
  }
}