Pith Number

pith:2H5YGUOG

pith:2015:2H5YGUOGIO3KWEEOLBO4YSTTSJ

not attested not anchored not stored refs pending

Mean square of the error term in the asymmetric many dimensional divisor problem

Wenguang Zhai, Xiaodong Cao, Yoshio Tanigawa

arxiv:1501.04270 v1 · 2015-01-18 · 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{2H5YGUOGIO3KWEEOLBO4YSTTSJ}

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	2026-05-18T02:29:09.552777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fb8351c643b6ab108e585dcc4a73927e8b9f7373e8a90ef76dfbd5fa4fd1d9

Aliases

arxiv: 1501.04270 · arxiv_version: 1501.04270v1 · doi: 10.48550/arxiv.1501.04270 · pith_short_12: 2H5YGUOGIO3K · pith_short_16: 2H5YGUOGIO3KWEEO · pith_short_8: 2H5YGUOG

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/2H5YGUOGIO3KWEEOLBO4YSTTSJ \
  | 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: d1fb8351c643b6ab108e585dcc4a73927e8b9f7373e8a90ef76dfbd5fa4fd1d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15b459c55b059d0e3f194f85e139a4dda00d197d36040da232675e058e3f4cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-18T06:52:15Z",
    "title_canon_sha256": "7f37b2ea16d82c48b3c32d5493844efe6ab7de25d76cb82c3348a43a8b238d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04270",
    "kind": "arxiv",
    "version": 1
  }
}