Pith Number

pith:FBPQS5TX

pith:2012:FBPQS5TX36NMEW5SREXWCGC7SL

not attested not anchored not stored refs pending

On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras

Gerhard Roehrle, Simon Goodwin

arxiv:1209.1289 v1 · 2012-09-06 · 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{FBPQS5TX36NMEW5SREXWCGC7SL}

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	2026-05-18T03:46:06.013925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285f097677df9ac25bb2892f61185f92d74a8a763b37f8f3144e71b3f91d6f66

Aliases

arxiv: 1209.1289 · arxiv_version: 1209.1289v1 · doi: 10.48550/arxiv.1209.1289 · pith_short_12: FBPQS5TX36NM · pith_short_16: FBPQS5TX36NMEW5S · pith_short_8: FBPQS5TX

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/FBPQS5TX36NMEW5SREXWCGC7SL \
  | 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: 285f097677df9ac25bb2892f61185f92d74a8a763b37f8f3144e71b3f91d6f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59408f0af02fb7b480e8142040beb0e4863630f712dc8043b82c01c339908961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-06T14:16:42Z",
    "title_canon_sha256": "4c7c42741661b0fe31c26c984f7a036ad509b3e16d653c86948c146a7aa61362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1289",
    "kind": "arxiv",
    "version": 1
  }
}