Pith Number

pith:WZYGZ7MJ

pith:2006:WZYGZ7MJKLPXNTDXVEF5FJAXSY

not attested not anchored not stored refs pending

On special pieces, the Springer correspondence, and unipotent characters

Daniel S. Sage, Pramod N. Achar

arxiv:math/0606075 v2 · 2006-06-03 · 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{WZYGZ7MJKLPXNTDXVEF5FJAXSY}

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	2026-05-18T00:53:35.462699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6706cfd8952df76cc77a90bd2a417961b51e11970d85a9bb228343f45401a6d

Aliases

arxiv: math/0606075 · arxiv_version: math/0606075v2 · doi: 10.48550/arxiv.math/0606075 · pith_short_12: WZYGZ7MJKLPX · pith_short_16: WZYGZ7MJKLPXNTDX · pith_short_8: WZYGZ7MJ

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/WZYGZ7MJKLPXNTDXVEF5FJAXSY \
  | 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: b6706cfd8952df76cc77a90bd2a417961b51e11970d85a9bb228343f45401a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6f68ceca6ff3a593e4f8a965f2f09d02fc55040750b8af03422fcc2ca67b47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-06-03T06:38:39Z",
    "title_canon_sha256": "13aefb111418bf52e4b5a594fbab7f62d9ae044add3ae9cbbafc61169933cec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606075",
    "kind": "arxiv",
    "version": 2
  }
}