Pith Number

pith:VXD2ZCTC

pith:2010:VXD2ZCTCA2GM4ZS2F2VQHDHNFK

not attested not anchored not stored refs pending

Involutions on a surface of general type with $p_g=q=0$, $K^2=7$

YongJoo Shin, Yongnam Lee

arxiv:1003.3595 v4 · 2010-03-18 · 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{VXD2ZCTCA2GM4ZS2F2VQHDHNFK}

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	2026-05-18T03:42:32.426080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc7ac8a62068cce665a2eab038ced2aaeef02fbb2dc418b8b1cd91148dea196

Aliases

arxiv: 1003.3595 · arxiv_version: 1003.3595v4 · doi: 10.48550/arxiv.1003.3595 · pith_short_12: VXD2ZCTCA2GM · pith_short_16: VXD2ZCTCA2GM4ZS2 · pith_short_8: VXD2ZCTC

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/VXD2ZCTCA2GM4ZS2F2VQHDHNFK \
  | 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: adc7ac8a62068cce665a2eab038ced2aaeef02fbb2dc418b8b1cd91148dea196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923647acc4f103e0649be397c0389d03ea1f35b75fce1ab03b60bf7adc9aa50f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-18T14:43:06Z",
    "title_canon_sha256": "49769bf50b99d84484b92f7af1926be4a5fd02b7b794fd402a5118d33b9809da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3595",
    "kind": "arxiv",
    "version": 4
  }
}