Pith Number

pith:DQ44MJVG

pith:2009:DQ44MJVG7Y5IAAFEIHHB3S65E5

not attested not anchored not stored refs pending

Dunkl operators and a family of realizations of osp(1|2)

B. Orsted, H. De Bie, P. Somberg, V. Soucek

arxiv:0911.4725 v2 · 2009-11-24 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQ44MJVG7Y5IAAFEIHHB3S65E5}

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	2026-05-18T04:23:34.384800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c39c626a6fe3a8000a441ce1dcbdd2742928827f74693f46e5f78d56432734d

Aliases

arxiv: 0911.4725 · arxiv_version: 0911.4725v2 · doi: 10.48550/arxiv.0911.4725 · pith_short_12: DQ44MJVG7Y5I · pith_short_16: DQ44MJVG7Y5IAAFE · pith_short_8: DQ44MJVG

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/DQ44MJVG7Y5IAAFEIHHB3S65E5 \
  | 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: 1c39c626a6fe3a8000a441ce1dcbdd2742928827f74693f46e5f78d56432734d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe27d59ed53aa7e1ee69b7971d085c6b6a8511ecf4da136fad5adcf1afc86a03",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-24T21:03:00Z",
    "title_canon_sha256": "11d4e914a35bc6a2bdb00ddafef8a4656ec2e7c15a139a559c0a12095c98a576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4725",
    "kind": "arxiv",
    "version": 2
  }
}