Pith Number

pith:LEELO5V5

pith:2017:LEELO5V52VAAAYUWMEGU3WLYIS

not attested not anchored not stored refs pending

Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals

Stephan Baier, Vijay M. Patankar

arxiv:1710.02125 v3 · 2017-10-05 · 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{LEELO5V52VAAAYUWMEGU3WLYIS}

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	2026-05-18T00:13:15.617466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5908b776bdd540006296610d4dd97844bf40c76b5eca2977c2c21e2071f919d5

Aliases

arxiv: 1710.02125 · arxiv_version: 1710.02125v3 · doi: 10.48550/arxiv.1710.02125 · pith_short_12: LEELO5V52VAA · pith_short_16: LEELO5V52VAAAYUW · pith_short_8: LEELO5V5

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/LEELO5V52VAAAYUWMEGU3WLYIS \
  | 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: 5908b776bdd540006296610d4dd97844bf40c76b5eca2977c2c21e2071f919d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54dc63b4fb8c6c1ede1efcfa1e043f31eb0a1bc71bbb64c339b511e6e3922ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-05T17:31:01Z",
    "title_canon_sha256": "374f1a8e6fd70ef90e67bd1e9b6acb249ee41c6ecf25a34f176d00c79859fb0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02125",
    "kind": "arxiv",
    "version": 3
  }
}