Pith Number

pith:WJ46HKYK

pith:2010:WJ46HKYKBLLLCD43D27VFNRQRN

not attested not anchored not stored refs pending

G-complete reducibility and the exceptional algebraic groups

David I. Stewart

arxiv:1011.4835 v1 · 2010-11-22 · math.GR · 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{WJ46HKYKBLLLCD43D27VFNRQRN}

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	2026-05-18T04:35:03.916185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b279e3ab0a0ad6b10f9b1ebf52b6308b63b93455c725939e5655d8eeedbb6e78

Aliases

arxiv: 1011.4835 · arxiv_version: 1011.4835v1 · doi: 10.48550/arxiv.1011.4835 · pith_short_12: WJ46HKYKBLLL · pith_short_16: WJ46HKYKBLLLCD43 · pith_short_8: WJ46HKYK

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/WJ46HKYKBLLLCD43D27VFNRQRN \
  | 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: b279e3ab0a0ad6b10f9b1ebf52b6308b63b93455c725939e5655d8eeedbb6e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01acf5467151d6f83f3ba7dc4deacc5a87e2bc9bf33f332ed959ab8ad56b9a5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-22T15:04:25Z",
    "title_canon_sha256": "99867d7684e00ee86e91c8b8b69aa9505cd036d9714005920c223dbf6aa3b2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4835",
    "kind": "arxiv",
    "version": 1
  }
}