Pith Number

pith:XK2O2V2I

pith:2010:XK2O2V2IXZ5HHR3LHKTSIAF5IJ

not attested not anchored not stored refs pending

Period differential equations for families of K3 surfaces derived from some 3 dimensional reflexive polytopes

Atsuhira Nagano

arxiv:1001.5312 v5 · 2010-01-29 · 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{XK2O2V2IXZ5HHR3LHKTSIAF5IJ}

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	2026-05-18T01:18:10.537360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab4ed5748be7a73c76b3aa72400bd427e7747e033935021dbe6ad6dba2733d4

Aliases

arxiv: 1001.5312 · arxiv_version: 1001.5312v5 · doi: 10.48550/arxiv.1001.5312 · pith_short_12: XK2O2V2IXZ5H · pith_short_16: XK2O2V2IXZ5HHR3L · pith_short_8: XK2O2V2I

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/XK2O2V2IXZ5HHR3LHKTSIAF5IJ \
  | 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: bab4ed5748be7a73c76b3aa72400bd427e7747e033935021dbe6ad6dba2733d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8620e2b728460e73c1eea7e0be4aad8d2fea45eb953cf70c59a9861fa1f0cbc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-01-29T02:18:40Z",
    "title_canon_sha256": "7cd9e3ae84097cbbf6be2ab267cb5f1bda54779047f725975446149ea160e986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5312",
    "kind": "arxiv",
    "version": 5
  }
}