Pith Number

pith:VRZ22B4U

pith:2019:VRZ22B4UYFYQFZHRFIC2UFTLFZ

not attested not anchored not stored refs pending

On semigroups generated by sums of even powers of Dunkl operators

Agnieszka Hejna, Jacek Dziuba\'nski

arxiv:1905.07344 v2 · 2019-05-17 · 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{VRZ22B4UYFYQFZHRFIC2UFTLFZ}

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	2026-05-17T23:42:53.120822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac73ad0794c17102e4f12a05aa166b2e521dbde7d6aea6a1f3bbb8ba1e43c919

Aliases

arxiv: 1905.07344 · arxiv_version: 1905.07344v2 · doi: 10.48550/arxiv.1905.07344 · pith_short_12: VRZ22B4UYFYQ · pith_short_16: VRZ22B4UYFYQFZHR · pith_short_8: VRZ22B4U

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/VRZ22B4UYFYQFZHRFIC2UFTLFZ \
  | 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: ac73ad0794c17102e4f12a05aa166b2e521dbde7d6aea6a1f3bbb8ba1e43c919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391df6788ff82c9d4e0de4df98b65b9bff9ecfe368af7796247e1b67e5b43fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-17T15:59:11Z",
    "title_canon_sha256": "ae5d815a25001660e96f11c32d1a1b34e62ced1285c58d089ffc18bf352b152d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07344",
    "kind": "arxiv",
    "version": 2
  }
}