Pith Number

pith:IVGRH7K3

pith:2026:IVGRH7K3XWA24TGLPWV6XC2HEV

not attested not anchored not stored refs pending

Mesoscopic eigenvalue statistics for correlated random matrices

Jaehun Lee, L\'aszl\'o Erd\H{o}s

arxiv:2607.05848 v1 · 2026-07-07 · 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{IVGRH7K3XWA24TGLPWV6XC2HEV}

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	2026-07-08T01:18:48.128743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454d13fd5bbd81ae4ccb7dabeb8b4725775102a2172799527e7a95e259622c5f

Aliases

arxiv: 2607.05848 · arxiv_version: 2607.05848v1 · doi: 10.48550/arxiv.2607.05848 · pith_short_12: IVGRH7K3XWA2 · pith_short_16: IVGRH7K3XWA24TGL · pith_short_8: IVGRH7K3

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/IVGRH7K3XWA24TGLPWV6XC2HEV \
  | 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: 454d13fd5bbd81ae4ccb7dabeb8b4725775102a2172799527e7a95e259622c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7883e39a108e7016505f74b31bcc430d9a8a88c2bd1a519fb8b740847d1bccdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-07T05:12:03Z",
    "title_canon_sha256": "47c15750a5a690a75c7e473ad91f5ba40dfc9d445070daa299a2d7dd33de2af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05848",
    "kind": "arxiv",
    "version": 1
  }
}