Pith Number

pith:WPY4Q4YN

pith:2018:WPY4Q4YNCGKI3LVMUDQZDMR2IG

not attested not anchored not stored refs pending

The Schur Multipliers of $p$-Groups of Order $p^5$

Manoj K. Yadav, Sumana Hatui, Vipul Kakkar

arxiv:1804.11308 v2 · 2018-04-30 · 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{WPY4Q4YNCGKI3LVMUDQZDMR2IG}

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	2026-05-17T23:40:04.503751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f1c8730d11948daeaca0e191b23a419fb895c025e36f5a4a3e7668805fef88

Aliases

arxiv: 1804.11308 · arxiv_version: 1804.11308v2 · doi: 10.48550/arxiv.1804.11308 · pith_short_12: WPY4Q4YNCGKI · pith_short_16: WPY4Q4YNCGKI3LVM · pith_short_8: WPY4Q4YN

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/WPY4Q4YNCGKI3LVMUDQZDMR2IG \
  | 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: b3f1c8730d11948daeaca0e191b23a419fb895c025e36f5a4a3e7668805fef88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30c645a8189fdcdc06f479214045f5f7713fce3015afbdcb476ede89bdf41ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-30T16:32:06Z",
    "title_canon_sha256": "ed4c327b01b61803bafe64792739b83a983541e0c26e9c2c27e6596d0eaf11f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11308",
    "kind": "arxiv",
    "version": 2
  }
}