Pith Number

pith:KO6YZE4Q

pith:2010:KO6YZE4QKFEHUZJLBS3JH3MEO2

not attested not anchored not stored refs pending

On the essential dimension of unipotent algebraic groups

Nguyen Duy Tan

arxiv:1012.2984 v1 · 2010-12-14 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO6YZE4QKFEHUZJLBS3JH3MEO2}

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	2026-05-18T04:33:18.918306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bd8c939051487a652b0cb693ed8476879880e66515db012ebeae1e22007b75

Aliases

arxiv: 1012.2984 · arxiv_version: 1012.2984v1 · doi: 10.48550/arxiv.1012.2984 · pith_short_12: KO6YZE4QKFEH · pith_short_16: KO6YZE4QKFEHUZJL · pith_short_8: KO6YZE4Q

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/KO6YZE4QKFEHUZJLBS3JH3MEO2 \
  | 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: 53bd8c939051487a652b0cb693ed8476879880e66515db012ebeae1e22007b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f36fec69caa5496741afeef2cd08483abe211ca401d7165accef4d44d7f57a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-14T10:29:33Z",
    "title_canon_sha256": "7a5fd019e36ac938cc4aecaa05f7ee5f5cfc6525f8c9d253b9b014aa5a695041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2984",
    "kind": "arxiv",
    "version": 1
  }
}