Pith Number

pith:MUCAJYQO

pith:2018:MUCAJYQOZMW5C4YMTUFMKZ2PVA

not attested not anchored not stored refs pending

H\"ormander's multiplier theorem for the Dunkl transform

Agnieszka Hejna, Jacek Dziuba\'nski

arxiv:1807.02640 v1 · 2018-07-07 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUCAJYQOZMW5C4YMTUFMKZ2PVA}

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	2026-05-18T00:11:16.457239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650404e20ecb2dd1730c9d0ac5674fa80d45b09c82ca48206e112a8956c59b40

Aliases

arxiv: 1807.02640 · arxiv_version: 1807.02640v1 · doi: 10.48550/arxiv.1807.02640 · pith_short_12: MUCAJYQOZMW5 · pith_short_16: MUCAJYQOZMW5C4YM · pith_short_8: MUCAJYQO

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/MUCAJYQOZMW5C4YMTUFMKZ2PVA \
  | 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: 650404e20ecb2dd1730c9d0ac5674fa80d45b09c82ca48206e112a8956c59b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb69635f29b70e181a4e542807a4a7fac182f8cf4b1b161011e21a05be684967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-07T09:59:10Z",
    "title_canon_sha256": "c0cb07a0a7a797aaf09f38a4120fc22a02f6e21d156543ba49d65e4c8962a93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02640",
    "kind": "arxiv",
    "version": 1
  }
}