Pith Number

pith:LNYOEX5F

pith:2012:LNYOEX5FDITLUIBWE2PRNCS3FC

not attested not anchored not stored refs pending

Real Multiplication on Jacobian Varieties

Robert A. Kucharczyk

arxiv:1201.1570 v1 · 2012-01-07 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNYOEX5FDITLUIBWE2PRNCS3FC}

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	2026-05-18T04:05:03.060243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b70e25fa51a26ba2036269f168a5b28a919f19fa41fcbe02f3252d7a87d8b7d

Aliases

arxiv: 1201.1570 · arxiv_version: 1201.1570v1 · doi: 10.48550/arxiv.1201.1570 · pith_short_12: LNYOEX5FDITL · pith_short_16: LNYOEX5FDITLUIBW · pith_short_8: LNYOEX5F

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/LNYOEX5FDITLUIBWE2PRNCS3FC \
  | 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: 5b70e25fa51a26ba2036269f168a5b28a919f19fa41fcbe02f3252d7a87d8b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ba78d6c620022f059290681c9c985a0db27459a236d3d8a65c73dbf9c35b2c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-07T15:43:04Z",
    "title_canon_sha256": "7d44b88a6cbb9c845736a01133e7696875c3ac9e3036490ba31dff2f4fba637d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1570",
    "kind": "arxiv",
    "version": 1
  }
}