Pith Number

pith:Y74YA3SF

pith:2010:Y74YA3SF4VGIS6LFUVE4F4E6FL

not attested not anchored not stored refs pending

On finite $p$-groups whose automorphisms are all central

Manoj K. Yadav, Vivek K. Jain

arxiv:1005.2066 v2 · 2010-05-12 · 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{Y74YA3SF4VGIS6LFUVE4F4E6FL}

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	2026-05-18T03:48:46.731503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f9806e45e54c897965a549c2f09e2af9fe4474b06b1e4b165eedabe4bdabd1

Aliases

arxiv: 1005.2066 · arxiv_version: 1005.2066v2 · doi: 10.48550/arxiv.1005.2066 · pith_short_12: Y74YA3SF4VGI · pith_short_16: Y74YA3SF4VGIS6LF · pith_short_8: Y74YA3SF

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/Y74YA3SF4VGIS6LFUVE4F4E6FL \
  | 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: c7f9806e45e54c897965a549c2f09e2af9fe4474b06b1e4b165eedabe4bdabd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1393eefc4782506b9d1d2778dd6d40bfaaaf0971218cfb4d24d613e97c913e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-12T12:18:12Z",
    "title_canon_sha256": "91b0a202ea444c6288059c80daf432767fed67e5d4d2c696d9856af0b8060567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2066",
    "kind": "arxiv",
    "version": 2
  }
}