Pith Number

pith:4TKQWLK7

pith:2014:4TKQWLK7U66XGFMQOPJCXRDSAU

not attested not anchored not stored refs pending

Continuous and discrete Painleve equations arising from the gap probability distribution of the finite $n$ Gaussian Unitary Ensembles

James Griffin, Man Cao, Yang Chen

arxiv:1404.3819 v1 · 2014-04-15 · 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{4TKQWLK7U66XGFMQOPJCXRDSAU}

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	2026-05-18T01:43:34.609494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d50b2d5fa7bd73159073d22bc472050f45cb7dc9f829995351d44750b1ea6b

Aliases

arxiv: 1404.3819 · arxiv_version: 1404.3819v1 · doi: 10.48550/arxiv.1404.3819 · pith_short_12: 4TKQWLK7U66X · pith_short_16: 4TKQWLK7U66XGFMQ · pith_short_8: 4TKQWLK7

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/4TKQWLK7U66XGFMQOPJCXRDSAU \
  | 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: e4d50b2d5fa7bd73159073d22bc472050f45cb7dc9f829995351d44750b1ea6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7944b07938099d0246ab83f155a4814afd51245a473ef5fe764226505f51b9dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-15T05:42:37Z",
    "title_canon_sha256": "28367f5825d74744a55cc9304e729f4752ecb55d73da91fce983d8be11b54e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3819",
    "kind": "arxiv",
    "version": 1
  }
}