Pith Number

pith:A3XV3WLP

pith:2015:A3XV3WLPICZASSASL77XZDGVBF

not attested not anchored not stored refs pending

Hankel determinants for a singular complex weight and the first and third Painlev\'e transcendents

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

arxiv:1509.07015 v2 · 2015-09-23 · 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{A3XV3WLPICZASSASL77XZDGVBF}

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	2026-05-18T01:22:36.011392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ef5dd96f40b20948125fff7c8cd5096d7be02de4d2debf736e880732da27de

Aliases

arxiv: 1509.07015 · arxiv_version: 1509.07015v2 · doi: 10.48550/arxiv.1509.07015 · pith_short_12: A3XV3WLPICZA · pith_short_16: A3XV3WLPICZASSAS · pith_short_8: A3XV3WLP

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/A3XV3WLPICZASSASL77XZDGVBF \
  | 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: 06ef5dd96f40b20948125fff7c8cd5096d7be02de4d2debf736e880732da27de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59993f765f0390daa8faccbfb077f141292797ccc5e20003ed962a9eb0a30aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-23T14:53:40Z",
    "title_canon_sha256": "dc91f278b3f8887f27ab93cae8b83e8dceb7887ffa31b5d1c1b270b18ab0d60e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07015",
    "kind": "arxiv",
    "version": 2
  }
}