Pith Number

pith:7ZIH2Z6R

pith:2013:7ZIH2Z6RIMLNOL7SW7CBUV3KPI

not attested not anchored not stored refs pending

Recent developments in non-asymptotic theory of random matrices

Mark Rudelson

arxiv:1301.2382 v2 · 2013-01-11 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZIH2Z6RIMLNOL7SW7CBUV3KPI}

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	2026-05-18T03:17:01.015598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe507d67d14316d72ff2b7c41a576a7a265f373f2da812ee374e413119c713cc

Aliases

arxiv: 1301.2382 · arxiv_version: 1301.2382v2 · doi: 10.48550/arxiv.1301.2382 · pith_short_12: 7ZIH2Z6RIMLN · pith_short_16: 7ZIH2Z6RIMLNOL7S · pith_short_8: 7ZIH2Z6R

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/7ZIH2Z6RIMLNOL7SW7CBUV3KPI \
  | 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: fe507d67d14316d72ff2b7c41a576a7a265f373f2da812ee374e413119c713cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b929b7c8e9e77518018f8cd09791dfbddd38aecf87a9f051bd0ce090225a34",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-11T02:51:13Z",
    "title_canon_sha256": "0a25a64ab4b843723afd5114e9570e2db64a4fc97a09f61e35131f19481c7b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2382",
    "kind": "arxiv",
    "version": 2
  }
}