Pith Number

pith:EO4RMN76

pith:2010:EO4RMN76NIKNMOHIP4KAUZVCMR

not attested not anchored not stored refs pending

Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices

Atsuhira Nagano

arxiv:1012.0156 v2 · 2010-12-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EO4RMN76NIKNMOHIP4KAUZVCMR}

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	2026-05-18T01:18:10.514161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b91637fe6a14d638e87f140a66a264440957586a96bb79a18688ce9c691fe8

Aliases

arxiv: 1012.0156 · arxiv_version: 1012.0156v2 · doi: 10.48550/arxiv.1012.0156 · pith_short_12: EO4RMN76NIKN · pith_short_16: EO4RMN76NIKNMOHI · pith_short_8: EO4RMN76

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/EO4RMN76NIKNMOHIP4KAUZVCMR \
  | 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: 23b91637fe6a14d638e87f140a66a264440957586a96bb79a18688ce9c691fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2600b33f6878b9f13b4529a3d9cc1ede04cdf5cfc699f2b4377a64379c309230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-01T11:05:02Z",
    "title_canon_sha256": "388b68ba8f1fda7809d0394dac66e92d36be1afe8bf158d88e9e9fe4facac2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0156",
    "kind": "arxiv",
    "version": 2
  }
}