Pith Number

pith:3LVIS72L

pith:2010:3LVIS72LKBGR7NHBUOHDBGVYNY

not attested not anchored not stored refs pending

Spin representations of Weyl groups and the Springer correspondence

Dan Ciubotaru

arxiv:1006.3823 v2 · 2010-06-18 · 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{3LVIS72LKBGR7NHBUOHDBGVYNY}

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	2026-05-18T04:21:50.713344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daea897f4b504d1fb4e1a38e309ab86e1496e69667b39d3a30fbfe4b9e3f7349

Aliases

arxiv: 1006.3823 · arxiv_version: 1006.3823v2 · doi: 10.48550/arxiv.1006.3823 · pith_short_12: 3LVIS72LKBGR · pith_short_16: 3LVIS72LKBGR7NHB · pith_short_8: 3LVIS72L

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/3LVIS72LKBGR7NHBUOHDBGVYNY \
  | 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: daea897f4b504d1fb4e1a38e309ab86e1496e69667b39d3a30fbfe4b9e3f7349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ed43e59be2cd2d63e89c71dfd4ec95969b35bd17c2062916c33de2c2d71ab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-06-18T22:44:42Z",
    "title_canon_sha256": "b01caebfd58e66ee3b238837ae1ad259e175b09f352c9ff29fa94344ca94acd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3823",
    "kind": "arxiv",
    "version": 2
  }
}