Pith Number

pith:K2SQYU3N

pith:2012:K2SQYU3NYRXJR5ODF6TZZAM44U

not attested not anchored not stored refs pending

Automorphism groups of positive entropy on projective threefolds

De-Qi Zhang, Fei Wang, Frederic Campana

arxiv:1203.5665 v1 · 2012-03-26 · math.DS · 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{K2SQYU3NYRXJR5ODF6TZZAM44U}

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	2026-05-18T00:05:15.053627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a50c536dc46e98f5c32fa79c819ce52d6952fd16aeebcf7255376ab102f1bd

Aliases

arxiv: 1203.5665 · arxiv_version: 1203.5665v1 · doi: 10.48550/arxiv.1203.5665 · pith_short_12: K2SQYU3NYRXJ · pith_short_16: K2SQYU3NYRXJR5OD · pith_short_8: K2SQYU3N

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/K2SQYU3NYRXJR5ODF6TZZAM44U \
  | 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: 56a50c536dc46e98f5c32fa79c819ce52d6952fd16aeebcf7255376ab102f1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983280435c52121862685a275a73b9baef5640d35984fbb836bc11876edfff52",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-26T13:52:12Z",
    "title_canon_sha256": "e6f978432dbfe538b6f614c2ffd84c70ba9bc9c1ee54484d82c3af9a443867cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5665",
    "kind": "arxiv",
    "version": 1
  }
}