Pith Number

pith:7G23TXEW

pith:2012:7G23TXEW6FIPTLIOWFOXWM4SA3

not attested not anchored not stored refs pending

The generalized Krawtchouk polynomials and the fifth Painlev\'e equation

Christophe Smet, Galina Filipuk, Lies Boelen, Lun Zhang, Walter Van Assche

arxiv:1204.5070 v2 · 2012-04-23 · 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{7G23TXEW6FIPTLIOWFOXWM4SA3}

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	2026-05-18T03:39:41.714745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b5b9dc96f150f9ad0eb15d7b339206d57dfb46671e2fc49bd4e3bca9c25904

Aliases

arxiv: 1204.5070 · arxiv_version: 1204.5070v2 · doi: 10.48550/arxiv.1204.5070 · pith_short_12: 7G23TXEW6FIP · pith_short_16: 7G23TXEW6FIPTLIO · pith_short_8: 7G23TXEW

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/7G23TXEW6FIPTLIOWFOXWM4SA3 \
  | 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: f9b5b9dc96f150f9ad0eb15d7b339206d57dfb46671e2fc49bd4e3bca9c25904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c00d388c5b799c539bd7b7f4624a2cc84cb3c1aa1bf253af82fce83441b88de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-23T14:05:54Z",
    "title_canon_sha256": "11db0528601ba9a7c1de50a94344e15cd86820ed735e916555de8df5bf0470c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5070",
    "kind": "arxiv",
    "version": 2
  }
}