Pith Number

pith:QQ4SDPTC

pith:2012:QQ4SDPTCZFJ5BEY4UNWAFGVD3A

not attested not anchored not stored refs pending

Riesz transform for Dunkl Hermite expansion

B\'echir Amri

arxiv:1201.1209 v2 · 2012-01-05 · 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{QQ4SDPTCZFJ5BEY4UNWAFGVD3A}

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	2026-05-18T03:27:54.902875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843921be62c953d0931ca36c029aa3d8085960e938ffd019eae11a43e1be4ba7

Aliases

arxiv: 1201.1209 · arxiv_version: 1201.1209v2 · doi: 10.48550/arxiv.1201.1209 · pith_short_12: QQ4SDPTCZFJ5 · pith_short_16: QQ4SDPTCZFJ5BEY4 · pith_short_8: QQ4SDPTC

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/QQ4SDPTCZFJ5BEY4UNWAFGVD3A \
  | 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: 843921be62c953d0931ca36c029aa3d8085960e938ffd019eae11a43e1be4ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509cdf17de51ad7a6a298cfb78095bd0a65b98f2553b258552a480ee89658384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-05T16:05:38Z",
    "title_canon_sha256": "1de96661bc78fac243ea0da4a3baa23b6ac3607324d439e5fd84dfc6142e1c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1209",
    "kind": "arxiv",
    "version": 2
  }
}