Pith Number

pith:RDCRTRIY

pith:2012:RDCRTRIYGUTFXKKMWIT7JQFSM7

not attested not anchored not stored refs pending

Commuting varieties of $r$-tuples over Lie algebras

Nham V. Ngo

arxiv:1209.1659 v2 · 2012-09-07 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDCRTRIYGUTFXKKMWIT7JQFSM7}

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	2026-05-18T03:07:52.829580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88c519c51835265ba94cb227f4c0b267c941a9106238d3522fd974f7ef7eba72

Aliases

arxiv: 1209.1659 · arxiv_version: 1209.1659v2 · doi: 10.48550/arxiv.1209.1659 · pith_short_12: RDCRTRIYGUTF · pith_short_16: RDCRTRIYGUTFXKKM · pith_short_8: RDCRTRIY

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/RDCRTRIYGUTFXKKMWIT7JQFSM7 \
  | 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: 88c519c51835265ba94cb227f4c0b267c941a9106238d3522fd974f7ef7eba72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cff83f249ddc541df0092e16acf22602d54dffe11fb28da705b1e39ed801047",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-07T22:02:22Z",
    "title_canon_sha256": "77f572f84006f6db12902fe6c295f380968f9f6b99a2185871bc100d2bd13a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1659",
    "kind": "arxiv",
    "version": 2
  }
}