Pith Number

pith:QGUYBNWK

pith:2009:QGUYBNWKFKXX4GLXLWFRDLLUS6

not attested not anchored not stored refs pending

Painlev\'e VI and Hankel determinants for the generalized Jacobi Weight

Dan Dai, Lun Zhang

arxiv:0908.0558 v2 · 2009-08-04 · 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{QGUYBNWKFKXX4GLXLWFRDLLUS6}

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	2026-05-18T02:12:44.660706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a980b6ca2aaf7e19775d8b11ad749796520fecaf98bfed7a4e939ff1fd75d7

Aliases

arxiv: 0908.0558 · arxiv_version: 0908.0558v2 · doi: 10.48550/arxiv.0908.0558 · pith_short_12: QGUYBNWKFKXX · pith_short_16: QGUYBNWKFKXX4GLX · pith_short_8: QGUYBNWK

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/QGUYBNWKFKXX4GLXLWFRDLLUS6 \
  | 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: 81a980b6ca2aaf7e19775d8b11ad749796520fecaf98bfed7a4e939ff1fd75d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac16af9c3e1faea5d1eb0ea3845830404b08d61916d7258a3dce87ab00975dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-08-04T22:51:52Z",
    "title_canon_sha256": "ef299621e69792d39c89cf8b4bd5e762e6b798db6a8e9c864d5168e6f2df4008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0558",
    "kind": "arxiv",
    "version": 2
  }
}