Pith Number

pith:DKKE2ILZ

pith:2025:DKKE2ILZ74JAK6PRKPEFXKROQT

not attested not anchored not stored refs pending

Smooth minimal surfaces of general type with $p_g=0, K^2=7$ and involutions

Han Zhang, Yifan Chen, YongJoo Shin

arxiv:2507.01405 v1 · 2025-07-02 · 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{DKKE2ILZ74JAK6PRKPEFXKROQT}

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	2026-07-05T11:30:48.259025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a944d2179ff120579f153c85baa2e84ca8798279b18063033b1ee5e22340de3

Aliases

arxiv: 2507.01405 · arxiv_version: 2507.01405v1 · doi: 10.48550/arxiv.2507.01405 · pith_short_12: DKKE2ILZ74JA · pith_short_16: DKKE2ILZ74JAK6PR · pith_short_8: DKKE2ILZ

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/DKKE2ILZ74JAK6PRKPEFXKROQT \
  | 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: 1a944d2179ff120579f153c85baa2e84ca8798279b18063033b1ee5e22340de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d53206093700c3fd45c21970d7633bf2b32a6e5d44384a1dce7585ecbc0fc1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-02T06:48:46Z",
    "title_canon_sha256": "8f426262ef24ed8aa5214ccccd64669e8456719afc280cd21ad39bcf78bce5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01405",
    "kind": "arxiv",
    "version": 1
  }
}