Pith Number

pith:4NI66DOI

pith:2014:4NI66DOIC4M6WD2H3T2ZJR355I

not attested not anchored not stored refs pending

Rate of Convergence of the Expected Spectral Distribution Function to the Marchenko -- Pastur Law

A.N. Tikhomirov, F. G\"otze

arxiv:1412.6284 v1 · 2014-12-19 · 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{4NI66DOIC4M6WD2H3T2ZJR355I}

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	2026-05-18T02:30:53.888929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e351ef0dc81719eb0f47dcf594c77dea08c8f6a1932da85960ecd6f349325ef9

Aliases

arxiv: 1412.6284 · arxiv_version: 1412.6284v1 · doi: 10.48550/arxiv.1412.6284 · pith_short_12: 4NI66DOIC4M6 · pith_short_16: 4NI66DOIC4M6WD2H · pith_short_8: 4NI66DOI

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/4NI66DOIC4M6WD2H3T2ZJR355I \
  | 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: e351ef0dc81719eb0f47dcf594c77dea08c8f6a1932da85960ecd6f349325ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30aa7fd1dbb8cfa4f48ec4e6a49a9039ef88b9b5324ed89645256422aa4bff37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-19T10:49:21Z",
    "title_canon_sha256": "1225376b0ff22338cf6e1702eab99a537e7b3626d09c33f94f2c08931fb3591e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6284",
    "kind": "arxiv",
    "version": 1
  }
}