Pith Number

pith:UCCSL2Q6

pith:2015:UCCSL2Q6OIJQ66PUONSL4K24EH

not attested not anchored not stored refs pending

Wigner matrices, the moments of roots of Hermite polynomials and the semicircle law

Gy\"orgy Michaletzky, Mikl\'os Kornyik

arxiv:1512.03724 v3 · 2015-11-23 · math.CA · 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{UCCSL2Q6OIJQ66PUONSL4K24EH}

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	2026-05-18T01:13:39.890550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08525ea1e72130f79f47364be2b5c21fe9ebab1cd9e7aa1f63338731a1aba30

Aliases

arxiv: 1512.03724 · arxiv_version: 1512.03724v3 · doi: 10.48550/arxiv.1512.03724 · pith_short_12: UCCSL2Q6OIJQ · pith_short_16: UCCSL2Q6OIJQ66PU · pith_short_8: UCCSL2Q6

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/UCCSL2Q6OIJQ66PUONSL4K24EH \
  | 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: a08525ea1e72130f79f47364be2b5c21fe9ebab1cd9e7aa1f63338731a1aba30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b7e6695a3230835e854145338be637926d1312ac927409832ac2575b649de5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-23T12:06:38Z",
    "title_canon_sha256": "640355436772e2614da78a935e326a532a66f681307c2fb151dc635c6ca6ca1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03724",
    "kind": "arxiv",
    "version": 3
  }
}