Pith Number

pith:LVR3X3TW

pith:2005:LVR3X3TWDPXKWYAZFLZL7NSILW

not attested not anchored not stored refs pending

Perturbations of Jacobi polynomials and piece-wise hypergeometric orthogonal systems

Yurii A. Neretin

arxiv:math/0505188 v2 · 2005-05-10 · 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{LVR3X3TWDPXKWYAZFLZL7NSILW}

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	2026-05-18T03:39:53.433088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d63bbee761beeab60192af2bfb6485db7f9ea9951e9aed2d265d75042e0debd

Aliases

arxiv: math/0505188 · arxiv_version: math/0505188v2 · doi: 10.48550/arxiv.math/0505188 · pith_short_12: LVR3X3TWDPXK · pith_short_16: LVR3X3TWDPXKWYAZ · pith_short_8: LVR3X3TW

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/LVR3X3TWDPXKWYAZFLZL7NSILW \
  | 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: 5d63bbee761beeab60192af2bfb6485db7f9ea9951e9aed2d265d75042e0debd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060e3e87fd07239d14aa575581aeddd15f76b4a4078ad6f591772798fb988b86",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-05-10T15:54:15Z",
    "title_canon_sha256": "7579c6797a81e20a463cdd6faea33c0ddb129607f78129df6500bb7123a6b536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505188",
    "kind": "arxiv",
    "version": 2
  }
}