Pith Number

pith:4JB5ZCHF

pith:2007:4JB5ZCHF4TDFZ76DWQYPTCACFI

not attested not anchored not stored refs pending

Orbit closures in the enhanced nilpotent cone

Anthony Henderson, Pramod N. Achar

arxiv:0712.1079 v2 · 2007-12-07 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JB5ZCHF4TDFZ76DWQYPTCACFI}

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	2026-05-18T04:42:33.792150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e243dc88e5e4c65cffc3b430f988022a0f87bb5d95b802d54c8e71695ee1241b

Aliases

arxiv: 0712.1079 · arxiv_version: 0712.1079v2 · doi: 10.48550/arxiv.0712.1079 · pith_short_12: 4JB5ZCHF4TDF · pith_short_16: 4JB5ZCHF4TDFZ76D · pith_short_8: 4JB5ZCHF

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/4JB5ZCHF4TDFZ76DWQYPTCACFI \
  | 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: e243dc88e5e4c65cffc3b430f988022a0f87bb5d95b802d54c8e71695ee1241b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8ff28373285938447eec6c50f11fff0ee4c0f6937c96938aa632d3d2300490",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-12-07T04:55:49Z",
    "title_canon_sha256": "f1ce12ce561f64d68821a4cb8a59c10d74a975c3b316de87138d7ec1e71e4ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1079",
    "kind": "arxiv",
    "version": 2
  }
}