Pith Number

pith:WRSJBJ2J

pith:2016:WRSJBJ2J27XALWDXY5XPGGC42B

not attested not anchored not stored refs pending

A characterization of finite $p$-groups by their Schur multiplier

Sumana Hatui

arxiv:1608.06322 v2 · 2016-08-22 · 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{WRSJBJ2J27XALWDXY5XPGGC42B}

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	2026-05-18T00:48:27.956322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46490a749d7ee05d877c76ef3185cd075fc8bb307e90d5fa8380de727d133f3

Aliases

arxiv: 1608.06322 · arxiv_version: 1608.06322v2 · doi: 10.48550/arxiv.1608.06322 · pith_short_12: WRSJBJ2J27XA · pith_short_16: WRSJBJ2J27XALWDX · pith_short_8: WRSJBJ2J

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/WRSJBJ2J27XALWDXY5XPGGC42B \
  | 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: b46490a749d7ee05d877c76ef3185cd075fc8bb307e90d5fa8380de727d133f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41236b6d1da51e1603f44094dd987001da7394fc1784302ec087e99959bc468",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-22T21:46:15Z",
    "title_canon_sha256": "52095392e0bfe2066cdcc72310a32cfb147822332bf0fa21c9e6ddce980b456b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06322",
    "kind": "arxiv",
    "version": 2
  }
}