Pith Number

pith:LH2SQS3F

pith:2015:LH2SQS3FKAX63VEXLVL6BI4U46

not attested not anchored not stored refs pending

The Picard Group of Various Families of $(\mathbb{Z}/2\mathbb{Z})^{4}$-invariant Quartic K3 Surfaces

Florian Bouyer

arxiv:1511.01781 v2 · 2015-11-05 · 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{LH2SQS3FKAX63VEXLVL6BI4U46}

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	2026-05-18T00:40:08.504260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f5284b65502fedd4975d57e0a394e7b357e1dff2a214c3a1e526cac9bec0f6

Aliases

arxiv: 1511.01781 · arxiv_version: 1511.01781v2 · doi: 10.48550/arxiv.1511.01781 · pith_short_12: LH2SQS3FKAX6 · pith_short_16: LH2SQS3FKAX63VEX · pith_short_8: LH2SQS3F

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/LH2SQS3FKAX63VEXLVL6BI4U46 \
  | 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: 59f5284b65502fedd4975d57e0a394e7b357e1dff2a214c3a1e526cac9bec0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2349203422778c6bd824a4b13d21db752e36325cb335a3f7496a1f243e0ac0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-05T15:37:34Z",
    "title_canon_sha256": "d13df500ecd1796adf91804c4f65c8bf6a92795960f5faaf7cac6366df30a00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01781",
    "kind": "arxiv",
    "version": 2
  }
}