Pith Number

pith:CCKMYQDW

pith:2010:CCKMYQDW45TOWYQZQ2R3FSOPV2

not attested not anchored not stored refs pending

Automorphism groups of positive entropy on minimal projective varieties

De-Qi Zhang

arxiv:1004.4781 v1 · 2010-04-27 · 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{CCKMYQDW45TOWYQZQ2R3FSOPV2}

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	2026-05-18T00:05:15.118461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1094cc4076e766eb621986a3b2c9cfaea039e8208ec2cca875e30319c75cede0

Aliases

arxiv: 1004.4781 · arxiv_version: 1004.4781v1 · doi: 10.48550/arxiv.1004.4781 · pith_short_12: CCKMYQDW45TO · pith_short_16: CCKMYQDW45TOWYQZ · pith_short_8: CCKMYQDW

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/CCKMYQDW45TOWYQZQ2R3FSOPV2 \
  | 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: 1094cc4076e766eb621986a3b2c9cfaea039e8208ec2cca875e30319c75cede0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410bd5d2a8491fa3f99061a5d2aa6bb25d9db7f58e35840707bc34fb29f3f913",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-27T12:39:19Z",
    "title_canon_sha256": "2b87831711cc45f01f489ea4818acaee59696d35caa1c291935b7f689c846226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4781",
    "kind": "arxiv",
    "version": 1
  }
}