Pith Number

pith:XDIJAHHB

pith:2010:XDIJAHHBAA3F4IPQYZBLQSLIN3

not attested not anchored not stored refs pending

Simple groups without lattices

Pierre-Emmanuel Caprace, Shahar Mozes, Tsachik Gelander, Uri Bader

arxiv:1008.2911 v2 · 2010-08-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDIJAHHBAA3F4IPQYZBLQSLIN3}

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	2026-05-18T03:29:48.747362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d0901ce100365e21f0c642b849686ed81d35ea1654a9ec00e67d89eb322475

Aliases

arxiv: 1008.2911 · arxiv_version: 1008.2911v2 · doi: 10.48550/arxiv.1008.2911 · pith_short_12: XDIJAHHBAA3F · pith_short_16: XDIJAHHBAA3F4IPQ · pith_short_8: XDIJAHHB

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/XDIJAHHBAA3F4IPQYZBLQSLIN3 \
  | 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: b8d0901ce100365e21f0c642b849686ed81d35ea1654a9ec00e67d89eb322475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc6bcb0d9b17da88bf4d2091346021238a13b32a82e52e816265aa6c32ef98b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-17T14:57:23Z",
    "title_canon_sha256": "42f52e118060156a456c462a89a0e199590565cb519db537b39190ce1125813f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2911",
    "kind": "arxiv",
    "version": 2
  }
}