Pith Number

pith:6LGNENSN

pith:2011:6LGNENSND2MYDWG5O26V4BI6HM

not attested not anchored not stored refs pending

Good Grosshans filtration in a family

Wilberd van der Kallen

arxiv:1109.5822 v3 · 2011-09-27 · 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{6LGNENSND2MYDWG5O26V4BI6HM}

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	2026-05-18T01:19:18.955496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ccd2364d1e9981d8dd76bd5e051e3b17d32bab42d4d629c97280075c2ffaf6

Aliases

arxiv: 1109.5822 · arxiv_version: 1109.5822v3 · doi: 10.48550/arxiv.1109.5822 · pith_short_12: 6LGNENSND2MY · pith_short_16: 6LGNENSND2MYDWG5 · pith_short_8: 6LGNENSN

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/6LGNENSND2MYDWG5O26V4BI6HM \
  | 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: f2ccd2364d1e9981d8dd76bd5e051e3b17d32bab42d4d629c97280075c2ffaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbe99e43bf1e1863c906a44f29bfee6f05f23fff4d73b2157eff3d3124b5e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-27T09:52:09Z",
    "title_canon_sha256": "b0a96ecb63e6d66fa4c4ca8820da642e349c4098234040d48cbfc517babcfbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5822",
    "kind": "arxiv",
    "version": 3
  }
}