Pith Number

pith:ZNDYSGUN

pith:2011:ZNDYSGUNRCT7JBHKDYOO3RIGUH

not attested not anchored not stored refs pending

Integral points of bounded height on compactifications of semi-simple groups

Ramin Takloo-Bighash, Yuri Tschinkel

arxiv:1102.2162 v1 · 2011-02-10 · math.NT · 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{ZNDYSGUNRCT7JBHKDYOO3RIGUH}

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	2026-05-18T04:29:34.114409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb47891a8d88a7f484ea1e1cedc506a1f4d878b8288104ba60128757a2d03daf

Aliases

arxiv: 1102.2162 · arxiv_version: 1102.2162v1 · doi: 10.48550/arxiv.1102.2162 · pith_short_12: ZNDYSGUNRCT7 · pith_short_16: ZNDYSGUNRCT7JBHK · pith_short_8: ZNDYSGUN

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/ZNDYSGUNRCT7JBHKDYOO3RIGUH \
  | 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: cb47891a8d88a7f484ea1e1cedc506a1f4d878b8288104ba60128757a2d03daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3f1ae74b04ddaab17ebb7d53fe2fb13035d53d23d5e3855163ee3be132ccb7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-10T16:24:34Z",
    "title_canon_sha256": "3030a2900412d25261aa6c2514a03098f9d68be27946dc92c67368bdfe1853a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2162",
    "kind": "arxiv",
    "version": 1
  }
}