Pith Number

pith:KTZBZFGU

pith:2011:KTZBZFGU3UFDC3JA53PWA3SX46

not attested not anchored not stored refs pending

Limits of spiked random matrices II

Alex Bloemendal, B\'alint Vir\'ag

arxiv:1109.3704 v2 · 2011-09-16 · math.PR · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTZBZFGU3UFDC3JA53PWA3SX46}

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	2026-05-18T01:03:53.871832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f21c94d4dd0a316d20eedf606e57e7aa7cfb5b46f5308002f8d1b5d724b07e

Aliases

arxiv: 1109.3704 · arxiv_version: 1109.3704v2 · doi: 10.48550/arxiv.1109.3704 · pith_short_12: KTZBZFGU3UFD · pith_short_16: KTZBZFGU3UFDC3JA · pith_short_8: KTZBZFGU

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/KTZBZFGU3UFDC3JA53PWA3SX46 \
  | 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: 54f21c94d4dd0a316d20eedf606e57e7aa7cfb5b46f5308002f8d1b5d724b07e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2bdd31ed8b2f4257765abcaaaa4ff3b614ddad67637ea416e34c0a80b8442c5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-16T19:55:01Z",
    "title_canon_sha256": "8ab86be52b405173a238a12035bd9f2a7f361610f75d27942c5134c18bd6d4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3704",
    "kind": "arxiv",
    "version": 2
  }
}