Pith Number

pith:G6FPMOXM

pith:2018:G6FPMOXMZ53DMF2QTCV2FNHSGA

not attested not anchored not stored refs pending

The Birch and Swinnerton-Dyer conjecture for an elliptic curve over $\mathbb{Q}(\sqrt[4]{5})$

Raymond van Bommel

arxiv:1805.05862 v2 · 2018-05-15 · 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{G6FPMOXMZ53DMF2QTCV2FNHSGA}

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	2026-05-18T00:12:52.262409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378af63aeccf7636175098aba2b4f2301fc77426a9ab228695d4a86096dad779

Aliases

arxiv: 1805.05862 · arxiv_version: 1805.05862v2 · doi: 10.48550/arxiv.1805.05862 · pith_short_12: G6FPMOXMZ53D · pith_short_16: G6FPMOXMZ53DMF2Q · pith_short_8: G6FPMOXM

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/G6FPMOXMZ53DMF2QTCV2FNHSGA \
  | 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: 378af63aeccf7636175098aba2b4f2301fc77426a9ab228695d4a86096dad779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7d508dd4e31402ef41732a478ce64c8e89feadafb94c15cf449dbdf6ee573a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-15T15:52:54Z",
    "title_canon_sha256": "d6b242b64f1db36283e8353acdc2c9aad412d65b18fd1f7eff762bfcd9a5630c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05862",
    "kind": "arxiv",
    "version": 2
  }
}