Pith Number

pith:ZK3KJSZE

pith:2015:ZK3KJSZEYWS6EC23S4REGRFGAK

not attested not anchored not stored refs pending

Perturbed Hankel determinant, correlation functions and Painlev\'e equations

Engui Fan, Min Chen, Yang Chen

arxiv:1507.05261 v1 · 2015-07-19 · 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{ZK3KJSZEYWS6EC23S4REGRFGAK}

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	2026-05-18T01:22:37.767093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab6a4cb24c5a5e20b5b97224344a602b0984c602bdae760e81acfeb0fb0d08b

Aliases

arxiv: 1507.05261 · arxiv_version: 1507.05261v1 · doi: 10.48550/arxiv.1507.05261 · pith_short_12: ZK3KJSZEYWS6 · pith_short_16: ZK3KJSZEYWS6EC23 · pith_short_8: ZK3KJSZE

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/ZK3KJSZEYWS6EC23S4REGRFGAK \
  | 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: cab6a4cb24c5a5e20b5b97224344a602b0984c602bdae760e81acfeb0fb0d08b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4fbf01c06ceaf06a3f81fad9fce77f1631634dc65e25a63c5331d79eac0c651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-19T08:23:57Z",
    "title_canon_sha256": "9d521730d5a609adab9d58d742075926d12765070fd831e83eddb5648769e7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05261",
    "kind": "arxiv",
    "version": 1
  }
}