Pith Number

pith:YDKM3CYG

pith:2000:YDKM3CYG54VFD3S65EURZC4HNV

not attested not anchored not stored refs pending

Birational Weyl group action arising from a nilpotent Poisson algebra

Masatoshi Noumi, Yasuhiko Yamada

arxiv:math/0012028 v1 · 2000-12-05 · 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{YDKM3CYG54VFD3S65EURZC4HNV}

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	2026-05-18T00:36:53.339724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d4cd8b06ef2a51ee5ee9291c8b876d71f1b8b17ddffda8aff7aee804a7b18e

Aliases

arxiv: math/0012028 · arxiv_version: math/0012028v1 · doi: 10.48550/arxiv.math/0012028 · pith_short_12: YDKM3CYG54VF · pith_short_16: YDKM3CYG54VFD3S6 · pith_short_8: YDKM3CYG

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/YDKM3CYG54VFD3S65EURZC4HNV \
  | 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: c0d4cd8b06ef2a51ee5ee9291c8b876d71f1b8b17ddffda8aff7aee804a7b18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c277a8e491f9b2090c2d76a4eadda218fa5a738deec5bc0fd4f7dde80d229e7d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-12-05T11:40:02Z",
    "title_canon_sha256": "73f78d27c6529de1e85c752df54c7287ac3f3bf167478d0708be1f7cac8816eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012028",
    "kind": "arxiv",
    "version": 1
  }
}