Pith Number

pith:33OQHYCX

pith:2010:33OQHYCXNLK4SQPDGVNOQ6URO4

not attested not anchored not stored refs pending

Atomicity Improvement for Elliptic Curve Scalar Multiplication

Christophe Giraud, Vincent Verneuil (INRIA Bordeaux - Sud-Ouest)

arxiv:1002.4569 v2 · 2010-02-24 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33OQHYCXNLK4SQPDGVNOQ6URO4}

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	2026-05-18T00:55:34.723748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedd03e0576ad5c941e3355ae87a917717e15db0f9bbea11482fcadea0887742

Aliases

arxiv: 1002.4569 · arxiv_version: 1002.4569v2 · doi: 10.48550/arxiv.1002.4569 · pith_short_12: 33OQHYCXNLK4 · pith_short_16: 33OQHYCXNLK4SQPD · pith_short_8: 33OQHYCX

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/33OQHYCXNLK4SQPDGVNOQ6URO4 \
  | 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: dedd03e0576ad5c941e3355ae87a917717e15db0f9bbea11482fcadea0887742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e8da24ad5e64d0ba9f83ff33ab6e8aad4e70b85169eeb99ccf77098919f344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2010-02-24T15:59:26Z",
    "title_canon_sha256": "f4213821dfd4ab6a68a37ef37c93ffcb2dc839ed99e8124214294360cd00d89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4569",
    "kind": "arxiv",
    "version": 2
  }
}