Pith Number

pith:XOOWBMK7

pith:2013:XOOWBMK7QPOOS3433HNVEL6PN4

not attested not anchored not stored refs pending

Recurrence coefficients for discrete orthonormal polynomials and the Painlev\'e equations

Peter A Clarkson

arxiv:1301.2396 v3 · 2013-01-11 · nlin.SI · 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{XOOWBMK7QPOOS3433HNVEL6PN4}

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	2026-05-18T03:18:08.136921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9d60b15f83dce96f9bd9db522fcf6f2b54d1402a3058af87a738d6771efc07

Aliases

arxiv: 1301.2396 · arxiv_version: 1301.2396v3 · doi: 10.48550/arxiv.1301.2396 · pith_short_12: XOOWBMK7QPOO · pith_short_16: XOOWBMK7QPOOS343 · pith_short_8: XOOWBMK7

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/XOOWBMK7QPOOS3433HNVEL6PN4 \
  | 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: bb9d60b15f83dce96f9bd9db522fcf6f2b54d1402a3058af87a738d6771efc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1c4f1f3779bbc473f83f0861f4654e652172cc9d6701d88760a2bfb26321f1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-01-11T06:30:41Z",
    "title_canon_sha256": "769090b7d48c66e95a5299b6e662d20b5211c9add378e5efe35ea7cf658fe9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2396",
    "kind": "arxiv",
    "version": 3
  }
}