Pith Number

pith:LE4PDOAU

pith:2023:LE4PDOAUR66C2JS77YFQ2WH7OD

not attested not anchored not stored refs pending

Finite groups with a small proportion of vanishing elements

Dongfang Yang, Silvio Dolfi, Yu Zeng

arxiv:2303.16391 v2 · 2023-03-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE4PDOAUR66C2JS77YFQ2WH7OD}

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	2026-07-05T06:29:00.548524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5938f1b8148fbc2d265ffe0b0d58ff70ce7d4a44ff5a7009f697690b71df81f4

Aliases

arxiv: 2303.16391 · arxiv_version: 2303.16391v2 · doi: 10.48550/arxiv.2303.16391 · pith_short_12: LE4PDOAUR66C · pith_short_16: LE4PDOAUR66C2JS7 · pith_short_8: LE4PDOAU

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/LE4PDOAUR66C2JS77YFQ2WH7OD \
  | 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: 5938f1b8148fbc2d265ffe0b0d58ff70ce7d4a44ff5a7009f697690b71df81f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db969e25851c5ad2f1b5691b7e3c596beea26534b5ce7ad604c002d69c8e412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-03-29T02:04:18Z",
    "title_canon_sha256": "694fa990f0d4e68d49adcb93b6303457eddc0d9a7972b304cb413625be9546ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.16391",
    "kind": "arxiv",
    "version": 2
  }
}