Pith Number

pith:KJTIPOOD

pith:2014:KJTIPOODGNKQCVUMROLZKPQYHG

not attested not anchored not stored refs pending

Asymptotic Spectra of Matrix-Valued Functions of Independent Random Matrices and Free Probability

A. Tikhomirov, F. G\"otze, H. K\"osters

arxiv:1408.1732 v2 · 2014-08-07 · 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{KJTIPOODGNKQCVUMROLZKPQYHG}

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	2026-05-18T02:45:03.747424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526687b9c3335501568c8b97953e183981015cbde2e62b0af5af50ca830dd9e7

Aliases

arxiv: 1408.1732 · arxiv_version: 1408.1732v2 · doi: 10.48550/arxiv.1408.1732 · pith_short_12: KJTIPOODGNKQ · pith_short_16: KJTIPOODGNKQCVUM · pith_short_8: KJTIPOOD

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/KJTIPOODGNKQCVUMROLZKPQYHG \
  | 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: 526687b9c3335501568c8b97953e183981015cbde2e62b0af5af50ca830dd9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e36e79257fecf21f2646d9a2e1d379a18002f51c1d479339a599325d2d404f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-07T23:24:39Z",
    "title_canon_sha256": "ba92019a5f7844fb57846531ae7bbf35de2561d7cc8198ec2b2efbdb06a78552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1732",
    "kind": "arxiv",
    "version": 2
  }
}