Pith Number

pith:WMQAZFWG

pith:2016:WMQAZFWGG26LQ7MPUKGOLH5RAH

not attested not anchored not stored refs pending

Growth of torsion groups of elliptic curves upon base change

Enrique Gonz\'alez-Jim\'enez, Filip Najman

arxiv:1609.02515 v6 · 2016-09-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMQAZFWGG26LQ7MPUKGOLH5RAH}

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.

Cited by

1 paper in Pith

Torsion groups of Mordell curves over cubic and sextic fields

Receipt and verification

First computed	2026-07-05T02:10:35.773185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3200c96c636bcb87d8fa28ce59fb101d5ae9961e3eaae1f44604609704e8956

Aliases

arxiv: 1609.02515 · arxiv_version: 1609.02515v6 · doi: 10.48550/arxiv.1609.02515 · pith_short_12: WMQAZFWGG26L · pith_short_16: WMQAZFWGG26LQ7MP · pith_short_8: WMQAZFWG

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/WMQAZFWGG26LQ7MPUKGOLH5RAH \
  | 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: b3200c96c636bcb87d8fa28ce59fb101d5ae9961e3eaae1f44604609704e8956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64273b681aec0b1ae6b7d275ae1cc020717f233cc4d1780bd6d6d7e7e5de0cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-08T17:55:44Z",
    "title_canon_sha256": "4c54315841a513b74ee6350f924392cb12806b721ae9e7deb94e157ceec0f97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02515",
    "kind": "arxiv",
    "version": 6
  }
}