Pith Number

pith:S3LO4SRU

pith:2004:S3LO4SRULJNWRCS7A4CIJWUVPF

not attested not anchored not stored refs pending

On discrete q-ultraspherical polynomials and their duals

A. U. Klimyk, N. M. Atakishiyev

arxiv:math/0403159 v1 · 2004-03-09 · 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{S3LO4SRULJNWRCS7A4CIJWUVPF}

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	2026-05-18T01:38:28.507476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d6ee4a345a5b688a5f070484da9579736ccece30764f6593cbb64f6a76cd8e

Aliases

arxiv: math/0403159 · arxiv_version: math/0403159v1 · doi: 10.48550/arxiv.math/0403159 · pith_short_12: S3LO4SRULJNW · pith_short_16: S3LO4SRULJNWRCS7 · pith_short_8: S3LO4SRU

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/S3LO4SRULJNWRCS7A4CIJWUVPF \
  | 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: 96d6ee4a345a5b688a5f070484da9579736ccece30764f6593cbb64f6a76cd8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de206e1fb332a684733828ba394631a113ef60c9cea6e1aa692c6c30641a0be9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-03-09T16:23:13Z",
    "title_canon_sha256": "b33d0510fe5e048621faefce5cc62ca63e34f7dd3432ea7a993ccf626181c1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403159",
    "kind": "arxiv",
    "version": 1
  }
}