Pith Number

pith:BUIHVG7T

pith:2023:BUIHVG7TZ5TN55W6XA5ZUNUKHE

not attested not anchored not stored refs pending

An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem

Xiaochun Li, Xuerui Yang

arxiv:2308.14859 v2 · 2023-08-28 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUIHVG7TZ5TN55W6XA5ZUNUKHE}

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

1 paper in Pith

Lattice point counting problems on step-two nilpotent Lie groups

Receipt and verification

First computed	2026-07-05T06:50:41.939989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d107a9bf3cf66def6deb83b9a368a393d000aa8c13e053e86462d2061d92cd2

Aliases

arxiv: 2308.14859 · arxiv_version: 2308.14859v2 · doi: 10.48550/arxiv.2308.14859 · pith_short_12: BUIHVG7TZ5TN · pith_short_16: BUIHVG7TZ5TN55W6 · pith_short_8: BUIHVG7T

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/BUIHVG7TZ5TN55W6XA5ZUNUKHE \
  | 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: 0d107a9bf3cf66def6deb83b9a368a393d000aa8c13e053e86462d2061d92cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7a4e2dfab2fc5bfd75342677b7fd68c421687183161d7df32a5252f41ed333",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-08-28T19:30:27Z",
    "title_canon_sha256": "45f9b930968b2fe0f5de60bfc0263ac57701af6a66f51c26cfa6f189fdcb92ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.14859",
    "kind": "arxiv",
    "version": 2
  }
}