Pith Number

pith:SURD76Q4

pith:2025:SURD76Q4GDPJ7XVVDKDRT4VC3E

not attested not anchored not stored refs pending

Large values of Dirichlet polynomials with multiplicative coefficients

Hao Zhang, Shengbo Zhao, Weijia Wang, Yutong Song, Zikang Dong

arxiv:2509.09771 v1 · 2025-09-11 · 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{SURD76Q4GDPJ7XVVDKDRT4VC3E}

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	2026-07-05T12:09:48.933078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95223ffa1c30de9fdeb51a8719f2a2d90c4f9b25603694c964aa290aa238e555

Aliases

arxiv: 2509.09771 · arxiv_version: 2509.09771v1 · doi: 10.48550/arxiv.2509.09771 · pith_short_12: SURD76Q4GDPJ · pith_short_16: SURD76Q4GDPJ7XVV · pith_short_8: SURD76Q4

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/SURD76Q4GDPJ7XVVDKDRT4VC3E \
  | 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: 95223ffa1c30de9fdeb51a8719f2a2d90c4f9b25603694c964aa290aa238e555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078326ec6dfa928124666f731479b2f9069194b1a678acf36e7b810cdbcb2f99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-11T18:05:55Z",
    "title_canon_sha256": "f98053e48b6063221c574b663ae4767d7456ec36025b6b073d74bb5c79db8cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09771",
    "kind": "arxiv",
    "version": 1
  }
}