Pith Number

pith:LPCNFTM3

pith:2013:LPCNFTM3GFMQMWFY4QHAJ4YTK6

not attested not anchored not stored refs pending

The Mordell-Lang Question for Endomorphisms of Semiabelian Varieties

Dragos Ghioca, Michael E. Zieve, Thomas J. Tucker

arxiv:1310.1988 v1 · 2013-10-08 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPCNFTM3GFMQMWFY4QHAJ4YTK6}

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	2026-05-18T03:10:59.710879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bc4d2cd9b31590658b8e40e04f31357ade6272ed9f8585ae6e0b309c804f8d9

Aliases

arxiv: 1310.1988 · arxiv_version: 1310.1988v1 · doi: 10.48550/arxiv.1310.1988 · pith_short_12: LPCNFTM3GFMQ · pith_short_16: LPCNFTM3GFMQMWFY · pith_short_8: LPCNFTM3

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/LPCNFTM3GFMQMWFY4QHAJ4YTK6 \
  | 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: 5bc4d2cd9b31590658b8e40e04f31357ade6272ed9f8585ae6e0b309c804f8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46322da3a7958237ef6b64a290ad42534a43549b7e003e0bb15b738d9896ed66",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-08T02:27:33Z",
    "title_canon_sha256": "e733448ac0d2e001af057fb3400d94254f3f148fd9f4605f13137efb2b11c4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1988",
    "kind": "arxiv",
    "version": 1
  }
}