Pith Number

pith:2R2ZG7UG

pith:2016:2R2ZG7UG6KMPEPG5TKZMRFUHYD

not attested not anchored not stored refs pending

Mordell-Weil lattice of Inose's Elliptic $K3$ surface arising from the product of 3-isogenous elliptic curves

Kazuki Utsumi, Masato Kuwata

arxiv:1609.05312 v3 · 2016-09-17 · 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{2R2ZG7UG6KMPEPG5TKZMRFUHYD}

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	2026-05-18T00:15:05.717972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d475937e86f298f23cdd9ab2c89687c0df3316c224a923370aaf384639fe313a

Aliases

arxiv: 1609.05312 · arxiv_version: 1609.05312v3 · doi: 10.48550/arxiv.1609.05312 · pith_short_12: 2R2ZG7UG6KMP · pith_short_16: 2R2ZG7UG6KMPEPG5 · pith_short_8: 2R2ZG7UG

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/2R2ZG7UG6KMPEPG5TKZMRFUHYD \
  | 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: d475937e86f298f23cdd9ab2c89687c0df3316c224a923370aaf384639fe313a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf7a8053c890496baace0c5cf391c4dce0fe3a0d7914ecd33e319ae92f3e5cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-17T10:12:37Z",
    "title_canon_sha256": "3047e6415a7e774aeed553ff89dfb9cfa9adcfbe9de844c8a9633733482452c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05312",
    "kind": "arxiv",
    "version": 3
  }
}