Pith Number

pith:SL3W2NNI

pith:2015:SL3W2NNIYIDKPPMMKUJRX65FKY

not attested not anchored not stored refs pending

Sums of Euler products and statistics of elliptic curves

Chantal David, Dimitris Koukoulopoulos, Ethan Smith

arxiv:1510.05935 v3 · 2015-10-20 · 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{SL3W2NNIYIDKPPMMKUJRX65FKY}

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	2026-05-18T00:42:44.536483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92f76d35a8c206a7bd8c55131bfba5560b14e5f200869a1bf5cb06fecadac382

Aliases

arxiv: 1510.05935 · arxiv_version: 1510.05935v3 · doi: 10.48550/arxiv.1510.05935 · pith_short_12: SL3W2NNIYIDK · pith_short_16: SL3W2NNIYIDKPPMM · pith_short_8: SL3W2NNI

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/SL3W2NNIYIDKPPMMKUJRX65FKY \
  | 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: 92f76d35a8c206a7bd8c55131bfba5560b14e5f200869a1bf5cb06fecadac382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286e24b8f23c09bcd660e38279f00b931853c2e732e74621717e55f5e0405349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-20T15:45:00Z",
    "title_canon_sha256": "1e83a40b32a7356f4066f75c1c6fd129286476e03756877dd44263c009c198de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05935",
    "kind": "arxiv",
    "version": 3
  }
}