Pith Number

pith:FJAU6WXW

pith:2016:FJAU6WXW22PZVYY2DMGD5U2ZWZ

not attested not anchored not stored refs pending

Classification of p-groups by their Schur multiplier

Sumana Hatui

arxiv:1605.01849 v3 · 2016-05-06 · 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{FJAU6WXW22PZVYY2DMGD5U2ZWZ}

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	2026-05-18T00:47:42.986646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a414f5af6d69f9ae31a1b0c3ed359b677d7a9b36628f0a03848a7e091cf0f6b

Aliases

arxiv: 1605.01849 · arxiv_version: 1605.01849v3 · doi: 10.48550/arxiv.1605.01849 · pith_short_12: FJAU6WXW22PZ · pith_short_16: FJAU6WXW22PZVYY2 · pith_short_8: FJAU6WXW

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/FJAU6WXW22PZVYY2DMGD5U2ZWZ \
  | 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: 2a414f5af6d69f9ae31a1b0c3ed359b677d7a9b36628f0a03848a7e091cf0f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01207756c10b6e3bbc6a781433673b31c5a091fe6077725f1fa2cb43c03601b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-06T07:43:12Z",
    "title_canon_sha256": "6d767547bd5e2bf3780d31238ade4b6398862927c7657c8b81408280f632572b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01849",
    "kind": "arxiv",
    "version": 3
  }
}