Pith Number

pith:QKPZLQ2G

pith:2010:QKPZLQ2GBQHAK7IX43LLMXPVAV

not attested not anchored not stored refs pending

A period differential equation for a family of $K3$ surfaces and the Hilbert modular orbifold for the field $\mathbb{Q}(\sqrt{5})$

Atsuhira Nagano

arxiv:1009.5725 v2 · 2010-09-29 · math.CV · 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{QKPZLQ2GBQHAK7IX43LLMXPVAV}

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	2026-05-18T01:18:10.521062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829f95c3460c0e057d17e6d6b65df505495540478256876c46039125637a6a8f

Aliases

arxiv: 1009.5725 · arxiv_version: 1009.5725v2 · doi: 10.48550/arxiv.1009.5725 · pith_short_12: QKPZLQ2GBQHA · pith_short_16: QKPZLQ2GBQHAK7IX · pith_short_8: QKPZLQ2G

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/QKPZLQ2GBQHAK7IX43LLMXPVAV \
  | 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: 829f95c3460c0e057d17e6d6b65df505495540478256876c46039125637a6a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae188d2784455dc609f2ee943ad09c1498d1c611c5faec409478189bf15d06b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-29T00:46:08Z",
    "title_canon_sha256": "0549e950c3aa364d450986762f2fcd2320fbac4d1f4a2c71c9895ba0d6216ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5725",
    "kind": "arxiv",
    "version": 2
  }
}