Pith Number

pith:4UEYG4SE

pith:2012:4UEYG4SEVHL2WF2S6JI3FLBXLQ

not attested not anchored not stored refs pending

Elements with finite Coxeter part in an affine Weyl group

Xuhua He, Zhongwei Yang

arxiv:1203.4680 v1 · 2012-03-21 · 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{4UEYG4SEVHL2WF2S6JI3FLBXLQ}

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	2026-05-18T03:59:37.478705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e509837244a9d7ab1752f251b2ac375c031d162dffbe7dc1217bd7db65348c9b

Aliases

arxiv: 1203.4680 · arxiv_version: 1203.4680v1 · doi: 10.48550/arxiv.1203.4680 · pith_short_12: 4UEYG4SEVHL2 · pith_short_16: 4UEYG4SEVHL2WF2S · pith_short_8: 4UEYG4SE

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/4UEYG4SEVHL2WF2S6JI3FLBXLQ \
  | 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: e509837244a9d7ab1752f251b2ac375c031d162dffbe7dc1217bd7db65348c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59fee8c6619accde5e01cf7c7ee189f6797404f7ea672c2c1cb5b0188b06cb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-21T09:00:02Z",
    "title_canon_sha256": "734a1deccea49c5da4d5d0f1b22633a952aec83a91a469a7e1aa79b1030afae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4680",
    "kind": "arxiv",
    "version": 1
  }
}