Pith Number

pith:HW3SZFNZ

pith:2011:HW3SZFNZV5WMJEHI5AXJQIJPYQ

not attested not anchored not stored refs pending

Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem

Kai-Uwe Bux, Ralf K\"ohl, Stefan Witzel

arxiv:1102.0428 v1 · 2011-02-02 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HW3SZFNZV5WMJEHI5AXJQIJPYQ}

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	2026-05-18T00:44:20.015750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db72c95b9af6cc490e8e82e98212fc422d8ee3e7ff4221b5c7d20403f3791c2

Aliases

arxiv: 1102.0428 · arxiv_version: 1102.0428v1 · doi: 10.48550/arxiv.1102.0428 · pith_short_12: HW3SZFNZV5WM · pith_short_16: HW3SZFNZV5WMJEHI · pith_short_8: HW3SZFNZ

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/HW3SZFNZV5WMJEHI5AXJQIJPYQ \
  | 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: 3db72c95b9af6cc490e8e82e98212fc422d8ee3e7ff4221b5c7d20403f3791c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c15efbced888959dc34539e2b37fcf68ea6fdad9814606f600dd794bd3301a5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-02T13:51:50Z",
    "title_canon_sha256": "e6c48e678480f9b708fc7d07a1d9c15c193943bbee57fd6b7513c05219b90724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0428",
    "kind": "arxiv",
    "version": 1
  }
}