Pith Number

pith:UXNJY2IP

pith:2012:UXNJY2IP523ZTDAMWIWI26GZGF

not attested not anchored not stored refs pending

Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring

INRIA Rocquencourt), Sorina Ionica (INRIA Nancy - Grand Est / LORIA

arxiv:1204.0222 v4 · 2012-03-29 · 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{UXNJY2IP523ZTDAMWIWI26GZGF}

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	2026-05-18T03:08:27.393256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5da9c690feeb7998c0cb22c8d78d93162457d83a5bcf5804a9e0d050c227b0c

Aliases

arxiv: 1204.0222 · arxiv_version: 1204.0222v4 · doi: 10.48550/arxiv.1204.0222 · pith_short_12: UXNJY2IP523Z · pith_short_16: UXNJY2IP523ZTDAM · pith_short_8: UXNJY2IP

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/UXNJY2IP523ZTDAMWIWI26GZGF \
  | 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: a5da9c690feeb7998c0cb22c8d78d93162457d83a5bcf5804a9e0d050c227b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439f6c603a4f54c294f3b866c83516c697b01459816ddb8dbfbc2461df26e715",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-29T07:48:08Z",
    "title_canon_sha256": "adedae85d8e7d19bca96122f5cde11619ae71411be5914f24c891b8955252fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0222",
    "kind": "arxiv",
    "version": 4
  }
}