Pith Number

pith:F76BYYYF

pith:2026:F76BYYYFA5U2BDLNVC5XXIG6J6

not attested not anchored not stored refs pending

On the Vinberg Family of K3 Surfaces

Adrian Clingher, Andreas Malmendier, Brandon Williams

arxiv:2606.07849 v1 · 2026-06-05 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F76BYYYFA5U2BDLNVC5XXIG6J6}

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	2026-06-09T01:04:53.685340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffc1c63050769a08d6da8bb7ba0de4f96ca4d5ac7d742918f44de648e21f1ed

Aliases

arxiv: 2606.07849 · arxiv_version: 2606.07849v1 · doi: 10.48550/arxiv.2606.07849 · pith_short_12: F76BYYYFA5U2 · pith_short_16: F76BYYYFA5U2BDLN · pith_short_8: F76BYYYF

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/F76BYYYFA5U2BDLNVC5XXIG6J6 \
  | 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: 2ffc1c63050769a08d6da8bb7ba0de4f96ca4d5ac7d742918f44de648e21f1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf81538ae1f0211750a89936df5034f6a93aae597000cd662d4482a7440f7a8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-05T21:18:14Z",
    "title_canon_sha256": "0697006cb5af57affca8619dca309fab424a35083580acba8ffc02e89194eef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07849",
    "kind": "arxiv",
    "version": 1
  }
}