Pith Number

pith:5QNVAMFK

pith:2012:5QNVAMFKW56RTXXSTMIDZJCV6P

not attested not anchored not stored refs pending

Finding ECM-friendly curves through a study of Galois properties

Cyril Bouvier (INRIA Nancy - Grand Est / LORIA), Joppe W. Bos (LACAL), Peter L. Montgomery, Razvan Barbulescu (INRIA Nancy - Grand Est / LORIA), Thorsten Kleinjung (LACAL)

arxiv:1202.4285 v2 · 2012-02-20 · math.NT · 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{5QNVAMFKW56RTXXSTMIDZJCV6P}

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	2026-05-18T03:46:18.413340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1b5030aab77d19def29b103ca455f3eeb83d8ef0a1a30c090cb51cf50a2756

Aliases

arxiv: 1202.4285 · arxiv_version: 1202.4285v2 · doi: 10.48550/arxiv.1202.4285 · pith_short_12: 5QNVAMFKW56R · pith_short_16: 5QNVAMFKW56RTXXS · pith_short_8: 5QNVAMFK

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/5QNVAMFKW56RTXXSTMIDZJCV6P \
  | 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: ec1b5030aab77d19def29b103ca455f3eeb83d8ef0a1a30c090cb51cf50a2756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b2e0929eb8ee6bf4e82f8ddbfa9463923ba10c5d4e6da91444f2fc22eb816b",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-20T10:33:55Z",
    "title_canon_sha256": "6ec36e9365abdaf8394762b2ace29a0437846a91ab23ad2734d442062dcd1bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4285",
    "kind": "arxiv",
    "version": 2
  }
}