Pith Number

pith:24XV5ZYW

pith:2019:24XV5ZYWRWGZMQ4FPBIYG62BA7

not attested not anchored not stored refs pending

A surface birational to an Enriques surface with non-finitely generated automorphism group

JongHae Keum, Keiji Oguiso

arxiv:1904.04451 v2 · 2019-04-09 · 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{24XV5ZYWRWGZMQ4FPBIYG62BA7}

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	2026-05-17T23:46:45.627114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72f5ee7168d8d9643857851837b4107ca71f29b4d2c98eb3be79e9b661a1438

Aliases

arxiv: 1904.04451 · arxiv_version: 1904.04451v2 · doi: 10.48550/arxiv.1904.04451 · pith_short_12: 24XV5ZYWRWGZ · pith_short_16: 24XV5ZYWRWGZMQ4F · pith_short_8: 24XV5ZYW

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/24XV5ZYWRWGZMQ4FPBIYG62BA7 \
  | 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: d72f5ee7168d8d9643857851837b4107ca71f29b4d2c98eb3be79e9b661a1438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a96be2ea16d82c8921eba9789a56e0d0b79324265110fbb2a621309f4957c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-09T03:34:04Z",
    "title_canon_sha256": "dc523f53b47a6e1dad1af44b68024979e27a835e5c01902dee3134c3836c8e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04451",
    "kind": "arxiv",
    "version": 2
  }
}