Pith Number

pith:VNEEPHJF

pith:2011:VNEEPHJFMCOOGDO5EFVW3LIYBE

not attested not anchored not stored refs pending

Torsion of elliptic curves over cubic fields

Filip Najman

arxiv:1108.3709 v1 · 2011-08-18 · 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{VNEEPHJFMCOOGDO5EFVW3LIYBE}

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	2026-05-18T04:07:52.413658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab48479d25609ce30ddd216b6dad1809061d612de54397891ba83080ea89bc86

Aliases

arxiv: 1108.3709 · arxiv_version: 1108.3709v1 · doi: 10.48550/arxiv.1108.3709 · pith_short_12: VNEEPHJFMCOO · pith_short_16: VNEEPHJFMCOOGDO5 · pith_short_8: VNEEPHJF

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/VNEEPHJFMCOOGDO5EFVW3LIYBE \
  | 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: ab48479d25609ce30ddd216b6dad1809061d612de54397891ba83080ea89bc86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e0644b4915346cad16822a1b1bc7e5d1392c9393b532e1c1e092901a7e4624",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-18T10:43:08Z",
    "title_canon_sha256": "1b0d99f0278fdb33f6c842b3d483403aa191d38f73de52d1966d276e3cb7f787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3709",
    "kind": "arxiv",
    "version": 1
  }
}