Pith Number

pith:CQ6Q2V22

pith:2022:CQ6Q2V22KAZK6CMH7ICPVRTFE5

not attested not anchored not stored refs pending

On the proportion of vanishing elements in finite groups

Dongfang Yang, Silvio Dolfi, Yu Zeng

arxiv:2201.00550 v3 · 2022-01-03 · 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{CQ6Q2V22KAZK6CMH7ICPVRTFE5}

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	2026-07-05T04:22:40.024421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143d0d575a5032af0987fa04fac665276db4bea8e1b270951f7a874a55cc07dd

Aliases

arxiv: 2201.00550 · arxiv_version: 2201.00550v3 · doi: 10.48550/arxiv.2201.00550 · pith_short_12: CQ6Q2V22KAZK · pith_short_16: CQ6Q2V22KAZK6CMH · pith_short_8: CQ6Q2V22

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/CQ6Q2V22KAZK6CMH7ICPVRTFE5 \
  | 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: 143d0d575a5032af0987fa04fac665276db4bea8e1b270951f7a874a55cc07dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37788c78642520ca60abd6c46f0ce923ed11cb3d0a9ac93fc37e9d17d18adce6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-01-03T09:58:01Z",
    "title_canon_sha256": "c55f4dd8723095cfff1ab78b6f2fe02c32138399fff0ec5f332d08f798693ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00550",
    "kind": "arxiv",
    "version": 3
  }
}