Pith Number

pith:NA3Y7CLW

pith:2016:NA3Y7CLWCTB4EU5Y6Y3EDY6752

not attested not anchored not stored refs pending

The Elkies Curve has Rank 28 Subject only to GRH

James Weigandt, Travis Sherman, Zev Klagsbrun

arxiv:1606.07178 v1 · 2016-06-23 · 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{NA3Y7CLWCTB4EU5Y6Y3EDY6752}

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	2026-05-18T01:11:58.515523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68378f897614c3c253b8f63641e3dfee9bc4eb6450545bf4a94884d2fe158ba4

Aliases

arxiv: 1606.07178 · arxiv_version: 1606.07178v1 · doi: 10.48550/arxiv.1606.07178 · pith_short_12: NA3Y7CLWCTB4 · pith_short_16: NA3Y7CLWCTB4EU5Y · pith_short_8: NA3Y7CLW

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/NA3Y7CLWCTB4EU5Y6Y3EDY6752 \
  | 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: 68378f897614c3c253b8f63641e3dfee9bc4eb6450545bf4a94884d2fe158ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d999fa8eb62ace768e53878b2847620527ddcdf6a88a9844f6d74190ef60d28d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-23T04:27:04Z",
    "title_canon_sha256": "7f2c93422621567c1a14bade8bd01629f0df39e829f1d94e7119ae15ea671048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07178",
    "kind": "arxiv",
    "version": 1
  }
}