Pith Number

pith:LU5AZXWO

pith:2012:LU5AZXWORALV2JOT2QT4TCQ2D6

not attested not anchored not stored refs pending

Algebraic varieties with automorphism groups of maximal rank

De-Qi Zhang

arxiv:1201.2338 v1 · 2012-01-11 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LU5AZXWORALV2JOT2QT4TCQ2D6}

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	2026-05-18T00:05:15.068909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3a0cdece88175d25d3d427c98a1a1fafa69a3eaa5ea2f3caa1e98026e1e91b

Aliases

arxiv: 1201.2338 · arxiv_version: 1201.2338v1 · doi: 10.48550/arxiv.1201.2338 · pith_short_12: LU5AZXWORALV · pith_short_16: LU5AZXWORALV2JOT · pith_short_8: LU5AZXWO

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/LU5AZXWORALV2JOT2QT4TCQ2D6 \
  | 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: 5d3a0cdece88175d25d3d427c98a1a1fafa69a3eaa5ea2f3caa1e98026e1e91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6203c4f277edbe6db9cacbbbc156e9cf5a04a5078f752bf929a15090c0c136",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-11T15:58:14Z",
    "title_canon_sha256": "fb2a338e6881c284a45b62e210a003dbc9b319a9517d76a14462e3660986b48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2338",
    "kind": "arxiv",
    "version": 1
  }
}