Pith Number

pith:JKZM4UA5

pith:2017:JKZM4UA52U7TXFDT3N2S3AL3BS

not attested not anchored not stored refs pending

On vanishing class sizes in finite groups

Emanuele Pacifici, Julian M.A. Brough, Mariagrazia Bianchi, Rachel D. Camina

arxiv:1706.05611 v1 · 2017-06-18 · 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{JKZM4UA52U7TXFDT3N2S3AL3BS}

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	2026-05-18T00:42:09.409678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab2ce501dd53f3b9473db752d817b0c8380b92e1dd64ce141843ffc9e34b678

Aliases

arxiv: 1706.05611 · arxiv_version: 1706.05611v1 · doi: 10.48550/arxiv.1706.05611 · pith_short_12: JKZM4UA52U7T · pith_short_16: JKZM4UA52U7TXFDT · pith_short_8: JKZM4UA5

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/JKZM4UA52U7TXFDT3N2S3AL3BS \
  | 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: 4ab2ce501dd53f3b9473db752d817b0c8380b92e1dd64ce141843ffc9e34b678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b2a67458ceb12d71ed7d30987857d932203891ca8d621a92344cf73d4dd620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-18T06:31:57Z",
    "title_canon_sha256": "01fdfd265cc18f450e5d22d8e03bf19ef88c2e54174b38312a9bef02a0c5b5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05611",
    "kind": "arxiv",
    "version": 1
  }
}