Pith Number

pith:HY6U62HA

pith:2017:HY6U62HAASCCPXEMMFJUGWQP7Y

not attested not anchored not stored refs pending

An improved remainder estimate in the Weyl formula for the planar disk

Jingwei Guo, Weiwei Wang, Zuoqin Wang

arxiv:1705.07308 v1 · 2017-05-20 · math.SP · 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{HY6U62HAASCCPXEMMFJUGWQP7Y}

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	2026-05-18T00:44:05.977772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3d4f68e0048427dc8c6153435a0ffe2f2dfef12555864166c3a8744deb15ec

Aliases

arxiv: 1705.07308 · arxiv_version: 1705.07308v1 · doi: 10.48550/arxiv.1705.07308 · pith_short_12: HY6U62HAASCC · pith_short_16: HY6U62HAASCCPXEM · pith_short_8: HY6U62HA

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/HY6U62HAASCCPXEMMFJUGWQP7Y \
  | 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: 3e3d4f68e0048427dc8c6153435a0ffe2f2dfef12555864166c3a8744deb15ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b4fafa1d00f5406775498b9a18fe6a175679c1a467a9c3659c6166be1cc96d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-05-20T14:01:09Z",
    "title_canon_sha256": "d0af2c3829363c3f672e05f8b14f1c7502121b63b0750f29f9aac5c1580bd9ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07308",
    "kind": "arxiv",
    "version": 1
  }
}