Pith Number

pith:YGK64EEY

pith:2005:YGK64EEYY2GKCEMBFSJ63SZNYW

not attested not anchored not stored refs pending

Discrete Painlev\'e equations for recurrence coefficients of orthogonal polynomials

Walter Van Assche

arxiv:math/0512358 v2 · 2005-12-15 · 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{YGK64EEYY2GKCEMBFSJ63SZNYW}

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	2026-05-18T03:11:24.450597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c195ee1098c68ca111812c93edcb2dc592ab8cd78fa9f9fb68e0a4c9189a1ccb

Aliases

arxiv: math/0512358 · arxiv_version: math/0512358v2 · doi: 10.48550/arxiv.math/0512358 · pith_short_12: YGK64EEYY2GK · pith_short_16: YGK64EEYY2GKCEMB · pith_short_8: YGK64EEY

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/YGK64EEYY2GKCEMBFSJ63SZNYW \
  | 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: c195ee1098c68ca111812c93edcb2dc592ab8cd78fa9f9fb68e0a4c9189a1ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c4c1375301bd8b2dc43d46340f5b65d329a9d47481301fa4d1db314122dd89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-12-15T11:34:33Z",
    "title_canon_sha256": "d1027668643d72b9e78df4cdecc35b3033b07802d04847ecafdbaa8f16c661c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512358",
    "kind": "arxiv",
    "version": 2
  }
}