Pith Number

pith:A43KJOLH

pith:2009:A43KJOLHVOXEBM3HQSEPIREWX4

not attested not anchored not stored refs pending

Painlev\'e VI and the Unitary Jacobi ensembles

Lun Zhang, Yang Chen

arxiv:0911.5636 v3 · 2009-11-30 · 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{A43KJOLHVOXEBM3HQSEPIREWX4}

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	2026-05-18T04:42:43.283390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0736a4b967abae40b3678488f44496bf2953e320277877f72914c39cfe992350

Aliases

arxiv: 0911.5636 · arxiv_version: 0911.5636v3 · doi: 10.48550/arxiv.0911.5636 · pith_short_12: A43KJOLHVOXE · pith_short_16: A43KJOLHVOXEBM3H · pith_short_8: A43KJOLH

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/A43KJOLHVOXEBM3HQSEPIREWX4 \
  | 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: 0736a4b967abae40b3678488f44496bf2953e320277877f72914c39cfe992350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1702ec6fd9ba9b3e1fa54306a2187fdcd60bc0f2591be50ef5575fe317c8536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-30T16:22:29Z",
    "title_canon_sha256": "dafa769a7c281214320c5d7187473b735d204dfb47c601ba02c523001fd30c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5636",
    "kind": "arxiv",
    "version": 3
  }
}