Pith Number

pith:3UVE62CN

pith:2012:3UVE62CNDPWSESVUQFTOBBLO5I

not attested not anchored not stored refs pending

Selmer Ranks of Quadratic Twists of Elliptic Curves with Partial Rational Two-Torsion

Zev Klagsbrun

arxiv:1201.5408 v2 · 2012-01-25 · 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{3UVE62CNDPWSESVUQFTOBBLO5I}

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	2026-05-18T04:02:38.132272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2a4f684d1bed224ab48166e0856eea002d5df64d9b14cce84461fa4e30ef2b

Aliases

arxiv: 1201.5408 · arxiv_version: 1201.5408v2 · doi: 10.48550/arxiv.1201.5408 · pith_short_12: 3UVE62CNDPWS · pith_short_16: 3UVE62CNDPWSESVU · pith_short_8: 3UVE62CN

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/3UVE62CNDPWSESVUQFTOBBLO5I \
  | 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: dd2a4f684d1bed224ab48166e0856eea002d5df64d9b14cce84461fa4e30ef2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070c9118c2f35bbf3c2b4c9e6b9c0370b2903aabb8443b2da6901ca9f43cfcd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-25T23:13:00Z",
    "title_canon_sha256": "0bbfa6f4f7b734c2e04514f07aa23e72951974e849d2046fa40e89270f30fd79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5408",
    "kind": "arxiv",
    "version": 2
  }
}