Pith Number

pith:WX6JBF7A

pith:2010:WX6JBF7ADL7IY5HJNPGNJOBGMP

not attested not anchored not stored refs pending

The Kneser-Tits conjecture for groups with Tits-index E_{8,2}^{66} over an arbitrary field

J.-P. Tignol, R.M. Weiss, R. Parimala

arxiv:1008.1868 v1 · 2010-08-11 · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WX6JBF7ADL7IY5HJNPGNJOBGMP}

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	2026-05-18T04:42:22.821148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fc9097e01afe8c74e96bccd4b82663ea5838acb50cd2dc9729375a993ab07d

Aliases

arxiv: 1008.1868 · arxiv_version: 1008.1868v1 · doi: 10.48550/arxiv.1008.1868 · pith_short_12: WX6JBF7ADL7I · pith_short_16: WX6JBF7ADL7IY5HJ · pith_short_8: WX6JBF7A

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/WX6JBF7ADL7IY5HJNPGNJOBGMP \
  | 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: b5fc9097e01afe8c74e96bccd4b82663ea5838acb50cd2dc9729375a993ab07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66376b7f49207c94066ecfbb7fa74d6afacaae281d4fb1642c841bdef32f79ee",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-11T09:42:39Z",
    "title_canon_sha256": "0202c5f28088974c9a2e9592be33cfeb649cade15c42eec0f7ab8ab80b3fa4f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1868",
    "kind": "arxiv",
    "version": 1
  }
}