Pith Number

pith:XGW3KNGN

pith:2019:XGW3KNGNH7H6KBS6B5TRFEYLMQ

not attested not anchored not stored refs pending

Higher order large gap asymptotics at the hard edge for Muttalib--Borodin ensembles

Christophe Charlier, Jonatan Lenells, Julian Mauersberger

arxiv:1906.12130 v1 · 2019-06-28 · 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{XGW3KNGNH7H6KBS6B5TRFEYLMQ}

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	2026-05-17T23:41:59.199281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9adb534cd3fcfe5065e0f6712930b640d17c20b7195c747b98883872fbfff6c

Aliases

arxiv: 1906.12130 · arxiv_version: 1906.12130v1 · doi: 10.48550/arxiv.1906.12130 · pith_short_12: XGW3KNGNH7H6 · pith_short_16: XGW3KNGNH7H6KBS6 · pith_short_8: XGW3KNGN

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/XGW3KNGNH7H6KBS6B5TRFEYLMQ \
  | 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: b9adb534cd3fcfe5065e0f6712930b640d17c20b7195c747b98883872fbfff6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9dd129caf561509d785d9e75ed228f0cc8d2e3a18b7c6694353a020784c440",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-28T11:01:55Z",
    "title_canon_sha256": "4eca33cae6742305ac06417825284ddd4c0910128193472e54491bec5762889d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12130",
    "kind": "arxiv",
    "version": 1
  }
}