Pith Number

pith:AJZT3D5B

pith:2018:AJZT3D5BJJTBQ7NCOSK2TWXHR2

not attested not anchored not stored refs pending

On the modular Erd\H{o}s-Burgess constant

Haoli Wang, Jun Hao, Lizhen Zhang

arxiv:1807.07266 v1 · 2018-07-19 · math.CO · 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{AJZT3D5BJJTBQ7NCOSK2TWXHR2}

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	2026-05-18T00:10:20.707836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02733d8fa14a66187da27495a9dae78e8e85aa9011c39093678a64fcf044484b

Aliases

arxiv: 1807.07266 · arxiv_version: 1807.07266v1 · doi: 10.48550/arxiv.1807.07266 · pith_short_12: AJZT3D5BJJTB · pith_short_16: AJZT3D5BJJTBQ7NC · pith_short_8: AJZT3D5B

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/AJZT3D5BJJTBQ7NCOSK2TWXHR2 \
  | 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: 02733d8fa14a66187da27495a9dae78e8e85aa9011c39093678a64fcf044484b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bb19e3fb043e2ddf5dd21be7eff1875cd18d10227b8baf72dcb9fd9a4ee593",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-19T07:10:50Z",
    "title_canon_sha256": "40dbf16adbfe9dd3be309f7d5383d96bc11dee08c9b58c02fe7cfa1d391de883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07266",
    "kind": "arxiv",
    "version": 1
  }
}