Pith Number

pith:R52Z6BUF

pith:2009:R52Z6BUFZMCBUVPW7YI2PS6UTJ

not attested not anchored not stored refs pending

Higher moments of the error term in the divisor problem

Aleksandar Ivi\'c, Wenguang Zhai

arxiv:0904.2271 v3 · 2009-04-15 · 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{R52Z6BUFZMCBUVPW7YI2PS6UTJ}

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	2026-05-18T04:39:50.470678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f759f0685cb041a55f6fe11a7cbd49a6b7e6f81378ecc7d9efb3ecbff41e3cc

Aliases

arxiv: 0904.2271 · arxiv_version: 0904.2271v3 · doi: 10.48550/arxiv.0904.2271 · pith_short_12: R52Z6BUFZMCB · pith_short_16: R52Z6BUFZMCBUVPW · pith_short_8: R52Z6BUF

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/R52Z6BUFZMCBUVPW7YI2PS6UTJ \
  | 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: 8f759f0685cb041a55f6fe11a7cbd49a6b7e6f81378ecc7d9efb3ecbff41e3cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509becab7007e06a6011cb50f2cba32d2737926631e709e5b7e9740d084c584c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-15T09:38:10Z",
    "title_canon_sha256": "318084808cb093e0d88bac1a3ee22f3a95d0a7c06c10d0ca054d1377933c7439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2271",
    "kind": "arxiv",
    "version": 3
  }
}