Pith Number

pith:PIYR4BTT

pith:2014:PIYR4BTTSKSCK4NGJTPKPRLPMV

not attested not anchored not stored refs pending

Painlev\'e III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

Dan Dai, Shuai-Xia Xu, Yu-Qiu Zhao

arxiv:1407.7334 v2 · 2014-07-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIYR4BTTSKSCK4NGJTPKPRLPMV}

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	2026-05-18T02:38:36.695138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a311e067392a42571a64cdea7c56f6577567a6c7dce5d694cb6ac2f99fa688b

Aliases

arxiv: 1407.7334 · arxiv_version: 1407.7334v2 · doi: 10.48550/arxiv.1407.7334 · pith_short_12: PIYR4BTTSKSC · pith_short_16: PIYR4BTTSKSCK4NG · pith_short_8: PIYR4BTT

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/PIYR4BTTSKSCK4NGJTPKPRLPMV \
  | 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: 7a311e067392a42571a64cdea7c56f6577567a6c7dce5d694cb6ac2f99fa688b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b97eb2040e3d067ce4aba64e4240bc78f4aab8b3b0a92426e152a9f017ba135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-28T06:47:07Z",
    "title_canon_sha256": "426d578ffeef3bbfb06dbce94efe93794144f96c7eac0fca2172c3c807c982a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7334",
    "kind": "arxiv",
    "version": 2
  }
}