Pith Number

pith:NIBKBLYP

pith:2026:NIBKBLYP7CHLGICXIFPX2QNQMB

not attested not anchored not stored refs pending

Soft edge limit of the Laguerre beta-ensemble at the lower edge

Benedek Valk\'o, Jiaming Xu, Yun Li

arxiv:2607.08536 v1 · 2026-07-09 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIBKBLYP7CHLGICXIFPX2QNQMB}

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	2026-07-10T01:19:53.083539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a02a0af0ff88eb32057415f7d41b0606afed02ba966803786a378146bb68e33

Aliases

arxiv: 2607.08536 · arxiv_version: 2607.08536v1 · doi: 10.48550/arxiv.2607.08536 · pith_short_12: NIBKBLYP7CHL · pith_short_16: NIBKBLYP7CHLGICX · pith_short_8: NIBKBLYP

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/NIBKBLYP7CHLGICXIFPX2QNQMB \
  | 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: 6a02a0af0ff88eb32057415f7d41b0606afed02ba966803786a378146bb68e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6078d498b6fe10250789338ca874452b80297b96003b89dd9637f9b3ff547774",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-09T14:32:22Z",
    "title_canon_sha256": "4fa764baf918e3fe83211c8ed4d905fca9bf0dcea0e4fbba1398f1d0acaa2081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08536",
    "kind": "arxiv",
    "version": 1
  }
}