Pith Number

pith:4GHHX24O

pith:2025:4GHHX24OKELCF6ZLAR5X4A7JNE

not attested not anchored not stored refs pending

The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution

Dan Dai, Lu-Ming Yao, Lun Zhang, Shuai-Xia Xu, Wen-Gao Long

arxiv:2501.12679 v2 · 2025-01-22 · 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{4GHHX24OKELCF6ZLAR5X4A7JNE}

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	2026-07-05T10:51:31.584856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18e7beb8e511622fb2b047b7e03e9693022f545a86c7343ea634d0acfa3c1e2

Aliases

arxiv: 2501.12679 · arxiv_version: 2501.12679v2 · doi: 10.48550/arxiv.2501.12679 · pith_short_12: 4GHHX24OKELC · pith_short_16: 4GHHX24OKELCF6ZL · pith_short_8: 4GHHX24O

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/4GHHX24OKELCF6ZLAR5X4A7JNE \
  | 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: e18e7beb8e511622fb2b047b7e03e9693022f545a86c7343ea634d0acfa3c1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a5f384cf88976f55a347d5aa72d388e4d93416deda642c06e57cd78a319b82",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-22T06:49:34Z",
    "title_canon_sha256": "43fb1e343ddca495436004e0f035ee94721c833f57e1ad5f01c3232f24382774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12679",
    "kind": "arxiv",
    "version": 2
  }
}