Pith Number

pith:LYP4DNBR

pith:2012:LYP4DNBRGAV6ZOG4WHZDW3HN4F

not attested not anchored not stored refs pending

On q-analogues of the Fourier and Hankel transforms

Ren\'e F. Swarttouw, Tom H. Koornwinder

arxiv:1208.2521 v1 · 2012-08-13 · 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{LYP4DNBRGAV6ZOG4WHZDW3HN4F}

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	2026-05-18T03:48:57.641463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e1fc1b431302becb8dcb1f23b6cede14c2c882ddd5d76842861136060b49d0d

Aliases

arxiv: 1208.2521 · arxiv_version: 1208.2521v1 · doi: 10.48550/arxiv.1208.2521 · pith_short_12: LYP4DNBRGAV6 · pith_short_16: LYP4DNBRGAV6ZOG4 · pith_short_8: LYP4DNBR

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/LYP4DNBRGAV6ZOG4WHZDW3HN4F \
  | 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: 5e1fc1b431302becb8dcb1f23b6cede14c2c882ddd5d76842861136060b49d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2ac1d61005cf1b2b3d568624ad1f8a6d95ddfc1f99fd154ad33f4ac38a92b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-13T08:20:49Z",
    "title_canon_sha256": "b610c940eeb9a934f6e235a972dc21b759640fc777b41513b892a8c484c1a0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2521",
    "kind": "arxiv",
    "version": 1
  }
}