Pith Number

pith:A3U5TCGE

pith:2014:A3U5TCGEZAD2LMJBH5H3FW5EHC

not attested not anchored not stored refs pending

Torsion of rational elliptic curves over cubic fields

Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero

arxiv:1411.3467 v2 · 2014-11-13 · 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{A3U5TCGEZAD2LMJBH5H3FW5EHC}

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	2026-05-18T00:53:24.760369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e9d988c4c807a5b1213f4fb2dba438ac168a15d099c0735f23daac26390213

Aliases

arxiv: 1411.3467 · arxiv_version: 1411.3467v2 · doi: 10.48550/arxiv.1411.3467 · pith_short_12: A3U5TCGEZAD2 · pith_short_16: A3U5TCGEZAD2LMJB · pith_short_8: A3U5TCGE

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/A3U5TCGEZAD2LMJBH5H3FW5EHC \
  | 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: 06e9d988c4c807a5b1213f4fb2dba438ac168a15d099c0735f23daac26390213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ab6f72e0b47b90b22cfbb95bdebd105580cff997dda2c6580714737ed414a9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-13T08:59:07Z",
    "title_canon_sha256": "94967e20120dca10da9aa6677469289aa3e3d15de030733d114eb889d018c0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3467",
    "kind": "arxiv",
    "version": 2
  }
}