Pith Number

pith:DQLXFJXY

pith:2015:DQLXFJXY3KDNBQOQRJS7YALRH6

not attested not anchored not stored refs pending

On 2-Selmer ranks of quadratic twists of elliptic curves

Myungjun Yu

arxiv:1511.07512 v2 · 2015-11-24 · 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{DQLXFJXY3KDNBQOQRJS7YALRH6}

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	2026-05-18T01:21:46.918365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c1772a6f8da86d0c1d08a65fc01713f8c549312b00304ee3e7826a7f24a9f2f

Aliases

arxiv: 1511.07512 · arxiv_version: 1511.07512v2 · doi: 10.48550/arxiv.1511.07512 · pith_short_12: DQLXFJXY3KDN · pith_short_16: DQLXFJXY3KDNBQOQ · pith_short_8: DQLXFJXY

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/DQLXFJXY3KDNBQOQRJS7YALRH6 \
  | 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: 1c1772a6f8da86d0c1d08a65fc01713f8c549312b00304ee3e7826a7f24a9f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be6db4230aca5a3f2fda4deb71b04d9718cc385a73c8405f6310d5a6bbcb8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-24T00:00:49Z",
    "title_canon_sha256": "2abed829fa3e6c7dc57a2a776b96ada09a5b9b633ed2cbb97d192e91be7e9806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07512",
    "kind": "arxiv",
    "version": 2
  }
}