Pith Number

pith:6F5SNWWQ

pith:2025:6F5SNWWQPYRUEBUVPJNQTBURZS

not attested not anchored not stored refs pending

Large value estimates for Dirichlet polynomials, and the density of zeros of Dirichlet's $L$-functions

Bin Chen

arxiv:2507.08296 v1 · 2025-07-11 · 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{6F5SNWWQPYRUEBUVPJNQTBURZS}

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.

Cited by

2 papers in Pith

Refinements for primes in short arithmetic progressions

On the Goldbach problem with restricted primes

Receipt and verification

First computed	2026-07-05T11:35:20.984051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17b26dad07e234206957a5b098691cc977e792b3e30e1153ddaa3b5e0b5af62

Aliases

arxiv: 2507.08296 · arxiv_version: 2507.08296v1 · doi: 10.48550/arxiv.2507.08296 · pith_short_12: 6F5SNWWQPYRU · pith_short_16: 6F5SNWWQPYRUEBUV · pith_short_8: 6F5SNWWQ

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/6F5SNWWQPYRUEBUVPJNQTBURZS \
  | 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: f17b26dad07e234206957a5b098691cc977e792b3e30e1153ddaa3b5e0b5af62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074772c6d7817e07abba0b655da6ee8f507bbde68fa2a8e4add6bcb4aceb48c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-11T04:05:34Z",
    "title_canon_sha256": "df617bc587dc7bffed4081b6a52d7c2522bd45d76a5f4ee351ed14d09aafbba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08296",
    "kind": "arxiv",
    "version": 1
  }
}