Pith Number

pith:BCX6M5FG

pith:2012:BCX6M5FGSLAWBOSHOW72A2JV53

not attested not anchored not stored refs pending

Dunkl Operators and Quasi-invariants of Complex Reflection Groups

Peter Samuelson, Yuri Berest

arxiv:1203.1258 v2 · 2012-03-06 · math.QA · 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{BCX6M5FGSLAWBOSHOW72A2JV53}

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	2026-05-18T03:53:42.191627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08afe674a692c160ba4775bfa06935eec9c5f1b82989a2962b952fdd672f74f6

Aliases

arxiv: 1203.1258 · arxiv_version: 1203.1258v2 · doi: 10.48550/arxiv.1203.1258 · pith_short_12: BCX6M5FGSLAW · pith_short_16: BCX6M5FGSLAWBOSH · pith_short_8: BCX6M5FG

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/BCX6M5FGSLAWBOSHOW72A2JV53 \
  | 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: 08afe674a692c160ba4775bfa06935eec9c5f1b82989a2962b952fdd672f74f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e0f9e95c6241e6582eab415809936492de75ed4b879e0abee56fff2b678adc",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-06T17:26:46Z",
    "title_canon_sha256": "f5c3a071df5b3d719cea0bda1bdbf994f99f80df32c4f52f11b5df48e4aa6fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1258",
    "kind": "arxiv",
    "version": 2
  }
}