Pith Number

pith:AJJJ3VUJ

pith:2026:AJJJ3VUJVUD6DOCDMSNNE47PGH

not attested not anchored not stored refs pending

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture

Barinder S. Banwait, Xiaoyu Huang

arxiv:2601.16044 v3 · 2026-01-22 · 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{AJJJ3VUJVUD6DOCDMSNNE47PGH}

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	2026-06-05T01:15:19.040363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02529dd689ad07e1b843649ad273ef31d2161e1776420e8d232becc3e15f39c5

Aliases

arxiv: 2601.16044 · arxiv_version: 2601.16044v3 · doi: 10.48550/arxiv.2601.16044 · pith_short_12: AJJJ3VUJVUD6 · pith_short_16: AJJJ3VUJVUD6DOCD · pith_short_8: AJJJ3VUJ

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/AJJJ3VUJVUD6DOCDMSNNE47PGH \
  | 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: 02529dd689ad07e1b843649ad273ef31d2161e1776420e8d232becc3e15f39c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5420a89f07255ce5118a7cac61e7040463b0d9a21c1bd0ab4ef338c3f29f97a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-22T15:19:37Z",
    "title_canon_sha256": "767f5c4f98c39069cece1f6199b7a8af7a7d3098ab1bca91c00d6218b23a1d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16044",
    "kind": "arxiv",
    "version": 3
  }
}