Pith Number

pith:2KSAB4O7

pith:2026:2KSAB4O7U2S3T5UEPFG44OQXJJ

not attested not anchored not stored refs pending

Automorphism groups of non-normal rigid affine surfaces are finite-dimensional

Alexander Perepechko, Ivan Beldiev

arxiv:2607.00652 v1 · 2026-07-01 · 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{2KSAB4O7U2S3T5UEPFG44OQXJJ}

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	2026-07-02T01:17:50.435391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a400f1dfa6a5b9f684794dce3a174a6c000787770d8b44ac5744e693c9ec5d

Aliases

arxiv: 2607.00652 · arxiv_version: 2607.00652v1 · doi: 10.48550/arxiv.2607.00652 · pith_short_12: 2KSAB4O7U2S3 · pith_short_16: 2KSAB4O7U2S3T5UE · pith_short_8: 2KSAB4O7

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/2KSAB4O7U2S3T5UEPFG44OQXJJ \
  | 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: d2a400f1dfa6a5b9f684794dce3a174a6c000787770d8b44ac5744e693c9ec5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22e00b2086d385ae91b8692591cd8e107d037f46a035d82b1ec43de2e431385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-01T09:04:27Z",
    "title_canon_sha256": "a3aaff30cfa77022db4f4d1a9c54f2121a2c1f5cc682aaf7d2c11db59c546b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00652",
    "kind": "arxiv",
    "version": 1
  }
}