Pith Number

pith:N64VY7TY

pith:2015:N64VY7TYBMKG6QATFAPYTQDGR7

not attested not anchored not stored refs pending

A criterion to rule out torsion groups for elliptic curves over number fields

Filip Najman, Peter Bruin

arxiv:1505.01564 v1 · 2015-05-07 · 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{N64VY7TYBMKG6QATFAPYTQDGR7}

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	2026-05-18T02:16:48.515085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb95c7e780b146f4013281f89c0668fc0f33271fbdc8891f5cc99e2fbdf2768

Aliases

arxiv: 1505.01564 · arxiv_version: 1505.01564v1 · doi: 10.48550/arxiv.1505.01564 · pith_short_12: N64VY7TYBMKG · pith_short_16: N64VY7TYBMKG6QAT · pith_short_8: N64VY7TY

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/N64VY7TYBMKG6QATFAPYTQDGR7 \
  | 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: 6fb95c7e780b146f4013281f89c0668fc0f33271fbdc8891f5cc99e2fbdf2768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6774c3b51bb13113dc30d829cff4966c51a3f535f048b8c7d210e02d6417860",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-07T02:50:03Z",
    "title_canon_sha256": "56d62d5b8992a5a25bba10d6173857f832b4d86d27aded761fdc2beae9582ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01564",
    "kind": "arxiv",
    "version": 1
  }
}