Pith Number

pith:WDYLW74B

pith:2016:WDYLW74BP2QKGDGJJH3VDWOYGN

not attested not anchored not stored refs pending

Asymptotics of orthogonal polynomials and the Painlev\'e transcendents

Dan Dai

arxiv:1608.04513 v2 · 2016-08-16 · 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{WDYLW74BP2QKGDGJJH3VDWOYGN}

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	2026-05-18T01:04:41.020298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f0bb7f817ea0a30cc949f751d9d833629ef2a5e2978f967421dc4b4cc2689f

Aliases

arxiv: 1608.04513 · arxiv_version: 1608.04513v2 · doi: 10.48550/arxiv.1608.04513 · pith_short_12: WDYLW74BP2QK · pith_short_16: WDYLW74BP2QKGDGJ · pith_short_8: WDYLW74B

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/WDYLW74BP2QKGDGJJH3VDWOYGN \
  | 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: b0f0bb7f817ea0a30cc949f751d9d833629ef2a5e2978f967421dc4b4cc2689f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b8897aa03a8809ca59a5700f57c2806feedf25ca9309ef871f119e3b4a2f3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-16T08:16:38Z",
    "title_canon_sha256": "cb3838bcfc4644e97d043b470ca5212ce4ec414091e8282ac940eae60bf5a247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04513",
    "kind": "arxiv",
    "version": 2
  }
}