Pith Number

pith:AEH7EZKN

pith:2017:AEH7EZKNCEHVYVHJY2TFB7LLCK

not attested not anchored not stored refs pending

On the Joint Distribution Of $\mathrm{Sel}_\phi(E/\mathbb{Q})$ and $\mathrm{Sel}_{\hat\phi}(E^\prime/\mathbb{Q})$ in Quadratic Twist Families

Daniel Kane, Zev Klagsbrun

arxiv:1702.02687 v1 · 2017-02-09 · 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{AEH7EZKNCEHVYVHJY2TFB7LLCK}

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	2026-05-18T00:51:02.704306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

010ff2654d110f5c54e9c6a650fd6b12a35bc14e08fbb26c13c5ccd56963070d

Aliases

arxiv: 1702.02687 · arxiv_version: 1702.02687v1 · doi: 10.48550/arxiv.1702.02687 · pith_short_12: AEH7EZKNCEHV · pith_short_16: AEH7EZKNCEHVYVHJ · pith_short_8: AEH7EZKN

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/AEH7EZKNCEHVYVHJY2TFB7LLCK \
  | 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: 010ff2654d110f5c54e9c6a650fd6b12a35bc14e08fbb26c13c5ccd56963070d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014760ba20d64e938f030ae4f3674546bbc8c6a2ea3a16a3cebc3d1a217408bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-09T03:13:22Z",
    "title_canon_sha256": "099e04b75ac203da99fefa8232ec2b00ef5dd5c50e84db939cc668f022e3d84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02687",
    "kind": "arxiv",
    "version": 1
  }
}