Pith Number

pith:UGCMJR4S

pith:2017:UGCMJR4SQ6BNY7NRJQTP26FTHZ

not attested not anchored not stored refs pending

Empirical Distribution of Scaled Eigenvalues for Product of Matrices from the Spherical Ensemble

Shuhua Chang, Yongcheng Qi

arxiv:1701.06926 v2 · 2017-01-24 · 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{UGCMJR4SQ6BNY7NRJQTP26FTHZ}

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	2026-05-18T00:46:59.126113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a184c4c7928782dc7db14c26fd78b33e73c28491807dfe24f6db0e236133730a

Aliases

arxiv: 1701.06926 · arxiv_version: 1701.06926v2 · doi: 10.48550/arxiv.1701.06926 · pith_short_12: UGCMJR4SQ6BN · pith_short_16: UGCMJR4SQ6BNY7NR · pith_short_8: UGCMJR4S

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/UGCMJR4SQ6BNY7NRJQTP26FTHZ \
  | 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: a184c4c7928782dc7db14c26fd78b33e73c28491807dfe24f6db0e236133730a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1117b4dfcf03da2d3988dac92ca82860fdaf4ce5baf9dc6abcd06ceac9685d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-01-24T15:26:54Z",
    "title_canon_sha256": "efc69721ad11a1cc818cd2c49e76c9a2b6a6be280f6687ffaa66b1f213eba64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06926",
    "kind": "arxiv",
    "version": 2
  }
}