Pith Number

pith:IY6CFVEI

pith:2013:IY6CFVEI2ZYLI5XRCG7SVFY6BP

not attested not anchored not stored refs pending

On the distribution of Jacobi sums

Qing Lu, Weizhe Zheng, Zhiyong Zheng

arxiv:1305.3405 v3 · 2013-05-15 · 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{IY6CFVEI2ZYLI5XRCG7SVFY6BP}

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	2026-05-18T00:09:10.594894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463c22d488d670b476f111bf2a971e0bd40bb932dc5c1b18af753de10ed72962

Aliases

arxiv: 1305.3405 · arxiv_version: 1305.3405v3 · doi: 10.48550/arxiv.1305.3405 · pith_short_12: IY6CFVEI2ZYL · pith_short_16: IY6CFVEI2ZYLI5XR · pith_short_8: IY6CFVEI

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/IY6CFVEI2ZYLI5XRCG7SVFY6BP \
  | 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: 463c22d488d670b476f111bf2a971e0bd40bb932dc5c1b18af753de10ed72962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c5c61693bd61828c405c848719063ce293bdc0c950af827f467f08054e7186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-15T09:52:33Z",
    "title_canon_sha256": "c0512fcf485d04bf89895bf2260065d32ecd27138068349177fb9f8d2a6eaa16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3405",
    "kind": "arxiv",
    "version": 3
  }
}