Pith Number

pith:WA2EBEJO

pith:2012:WA2EBEJO6SCWMRTOJU5R7VV7U3

not attested not anchored not stored refs pending

Adjoint quotients of reductive groups

Ting-Yu Lee

arxiv:1211.3559 v1 · 2012-11-15 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WA2EBEJO6SCWMRTOJU5R7VV7U3}

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	2026-05-18T03:40:39.422285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03440912ef48566466e4d3b1fd6bfa6ca31a7c7402f38bbf7b168a7d3a81f0e

Aliases

arxiv: 1211.3559 · arxiv_version: 1211.3559v1 · doi: 10.48550/arxiv.1211.3559 · pith_short_12: WA2EBEJO6SCW · pith_short_16: WA2EBEJO6SCWMRTO · pith_short_8: WA2EBEJO

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/WA2EBEJO6SCWMRTOJU5R7VV7U3 \
  | 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: b03440912ef48566466e4d3b1fd6bfa6ca31a7c7402f38bbf7b168a7d3a81f0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a806769474806e994c1ecf15e891154ce29fc309100d86496836c908e030f52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-15T10:20:16Z",
    "title_canon_sha256": "0a36839994b422c04c7f8977f6c94be739c77297d554cc3fc4f809758986cab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3559",
    "kind": "arxiv",
    "version": 1
  }
}