Pith Number

pith:DFUHDTFH

pith:2007:DFUHDTFHXZ5O62G3WOLVRHXRBL

not attested not anchored not stored refs pending

Computing with nilpotent orbits in simple Lie algebras of exceptional type

Willem de Graaf

arxiv:math/0702193 v2 · 2007-02-07 · 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{DFUHDTFHXZ5O62G3WOLVRHXRBL}

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	2026-05-18T04:08:52.914917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196871cca7be7aef68dbb397589ef10ae267dd8926c81d7659a5c9320d0e1844

Aliases

arxiv: math/0702193 · arxiv_version: math/0702193v2 · doi: 10.48550/arxiv.math/0702193 · pith_short_12: DFUHDTFHXZ5O · pith_short_16: DFUHDTFHXZ5O62G3 · pith_short_8: DFUHDTFH

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/DFUHDTFHXZ5O62G3WOLVRHXRBL \
  | 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: 196871cca7be7aef68dbb397589ef10ae267dd8926c81d7659a5c9320d0e1844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924a8f4cfb3cdb21cd72b634928b94c6ed1a6ec027976f77e4944a6610ef2c37",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-02-07T16:04:10Z",
    "title_canon_sha256": "95d4d215af6496b53e065c2b4f0a7f6594cb3b5c56bfd49d8e34f6933a0e2ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702193",
    "kind": "arxiv",
    "version": 2
  }
}