Pith Number

pith:JLOEB2D5

pith:2014:JLOEB2D5Q3UDDBQGPLT6E74ZDL

not attested not anchored not stored refs pending

A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one

Christopher Skinner, Manjul Bhargava

arxiv:1401.0233 v1 · 2014-01-01 · 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{JLOEB2D5Q3UDDBQGPLT6E74ZDL}

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	2026-05-18T03:03:23.702253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adc40e87d86e83186067ae7e27f991ad84b7efe3e4f31f360679e1dcff58cba

Aliases

arxiv: 1401.0233 · arxiv_version: 1401.0233v1 · doi: 10.48550/arxiv.1401.0233 · pith_short_12: JLOEB2D5Q3UD · pith_short_16: JLOEB2D5Q3UDDBQG · pith_short_8: JLOEB2D5

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/JLOEB2D5Q3UDDBQGPLT6E74ZDL \
  | 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: 4adc40e87d86e83186067ae7e27f991ad84b7efe3e4f31f360679e1dcff58cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183924960ead28e075f9a711fea0da83a6931b5e3113ee28e16ef0f7e2708120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-01T00:05:55Z",
    "title_canon_sha256": "30087334b4f50eca4d8ee095db588f855e16749128437aedb66c2bb03bb43692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0233",
    "kind": "arxiv",
    "version": 1
  }
}