Pith Number

pith:WQ554O2X

pith:2015:WQ554O2XQ3HWIOZKUPTWHVK7I4

not attested not anchored not stored refs pending

Asymptotic expansion of the expected spectral measure of Wigner matrices

Laurent M\'enard (MODAL'X), LPMA), Nathana\"el Enriquez (MODAL'X

arxiv:1506.03002 v1 · 2015-06-09 · 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{WQ554O2XQ3HWIOZKUPTWHVK7I4}

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	2026-05-18T00:53:24.649467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43bde3b5786cf643b2aa3e763d55f4707d1b888a831e3bfaa117500f82e4fd4

Aliases

arxiv: 1506.03002 · arxiv_version: 1506.03002v1 · doi: 10.48550/arxiv.1506.03002 · pith_short_12: WQ554O2XQ3HW · pith_short_16: WQ554O2XQ3HWIOZK · pith_short_8: WQ554O2X

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/WQ554O2XQ3HWIOZKUPTWHVK7I4 \
  | 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: b43bde3b5786cf643b2aa3e763d55f4707d1b888a831e3bfaa117500f82e4fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0c3a730f8add124cd02d6429989f185f3d85f653851235e562ae5db2beb1ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-09T16:58:45Z",
    "title_canon_sha256": "a28927478c4dc07b9e2e448b9f2f7190086f5d140f5b92be906ca8fd080e3a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03002",
    "kind": "arxiv",
    "version": 1
  }
}