Pith Number

pith:CTYNBILM

pith:2016:CTYNBILMFP6V2JPNAPE26KJNM4

not attested not anchored not stored refs pending

Finite $p$-groups having Schur multiplier of maximum order

Sumana Hatui

arxiv:1610.07042 v3 · 2016-10-22 · 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{CTYNBILMFP6V2JPNAPE26KJNM4}

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	2026-05-18T00:57:37.231195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f0d0a16c2bfd5d25ed03c9af292d673fd5a58714ad95f30b6acc36997659b5

Aliases

arxiv: 1610.07042 · arxiv_version: 1610.07042v3 · doi: 10.48550/arxiv.1610.07042 · pith_short_12: CTYNBILMFP6V · pith_short_16: CTYNBILMFP6V2JPN · pith_short_8: CTYNBILM

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/CTYNBILMFP6V2JPNAPE26KJNM4 \
  | 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: 14f0d0a16c2bfd5d25ed03c9af292d673fd5a58714ad95f30b6acc36997659b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa1572af1d5d33c485d9fbf61bb403cfc5c5b4d1a84bfde9a3232b7c8aa06a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-22T12:22:04Z",
    "title_canon_sha256": "3690d88625f4d64e5220da523c48b1c463fdbe26ad379cffb79ace112b0c5c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07042",
    "kind": "arxiv",
    "version": 3
  }
}