Pith Number

pith:43ML2W3C

pith:2011:43ML2W3C5VDI57LE6RXRZVFLKP

not attested not anchored not stored refs pending

On local-global divisibility by $p^2$ in elliptic curves

Evelina Viada, Gabriele Ranieri, Laura Paladino

arxiv:1103.4963 v1 · 2011-03-25 · 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{43ML2W3C5VDI57LE6RXRZVFLKP}

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	2026-05-18T04:25:48.299470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d8bd5b62ed468efd64f46f1cd4ab53e942ac9fafba8cd093f87ea3013e0005

Aliases

arxiv: 1103.4963 · arxiv_version: 1103.4963v1 · doi: 10.48550/arxiv.1103.4963 · pith_short_12: 43ML2W3C5VDI · pith_short_16: 43ML2W3C5VDI57LE · pith_short_8: 43ML2W3C

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/43ML2W3C5VDI57LE6RXRZVFLKP \
  | 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: e6d8bd5b62ed468efd64f46f1cd4ab53e942ac9fafba8cd093f87ea3013e0005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd36f1fe8777c12896a0c07a68ff6346ac96daa4b1369578a906d1ac7d4f5476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-25T13:18:28Z",
    "title_canon_sha256": "3588e6b441a3f3441e37a46beae7851515921d840bdb35b8196dec2061e178ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4963",
    "kind": "arxiv",
    "version": 1
  }
}