Pith Number

pith:CIRCZ6P7

pith:2015:CIRCZ6P7M7QR45QGPMTHXPYZ7C

not attested not anchored not stored refs pending

On the Tits p-indexes of semisimple algebraic groups

Charles De Clercq, Skip Garibaldi

arxiv:1511.02538 v1 · 2015-11-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIRCZ6P7M7QR45QGPMTHXPYZ7C}

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	2026-05-18T00:34:31.871579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12222cf9ff67e11e76067b267bbf19f8a1a9b3e4e7bb11d761cbb7d06843ff46

Aliases

arxiv: 1511.02538 · arxiv_version: 1511.02538v1 · doi: 10.48550/arxiv.1511.02538 · pith_short_12: CIRCZ6P7M7QR · pith_short_16: CIRCZ6P7M7QR45QG · pith_short_8: CIRCZ6P7

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/CIRCZ6P7M7QR45QGPMTHXPYZ7C \
  | 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: 12222cf9ff67e11e76067b267bbf19f8a1a9b3e4e7bb11d761cbb7d06843ff46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615d512fe60d9a9ee9799505a82fb292b738eb3f71008ee8bd6e1e695e5d1db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-08T22:47:48Z",
    "title_canon_sha256": "c6e26604c57c8c8eab5873d7ebfb25f4a8a5a89b3a73e402c5e3c369685ed0cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02538",
    "kind": "arxiv",
    "version": 1
  }
}