Pith Number

pith:PSMZNB2T

pith:2017:PSMZNB2TVQVB4NCOXWTRC7JYWC

not attested not anchored not stored refs pending

On the order of the Schur multiplier of $p$-groups

Pradeep K. Rai

arxiv:1705.02520 v1 · 2017-05-06 · 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{PSMZNB2TVQVB4NCOXWTRC7JYWC}

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	2026-05-18T00:44:56.281265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c99968753ac2a1e344ebda7117d38b0aac92639500bba20230efea8ea22e40f

Aliases

arxiv: 1705.02520 · arxiv_version: 1705.02520v1 · doi: 10.48550/arxiv.1705.02520 · pith_short_12: PSMZNB2TVQVB · pith_short_16: PSMZNB2TVQVB4NCO · pith_short_8: PSMZNB2T

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/PSMZNB2TVQVB4NCOXWTRC7JYWC \
  | 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: 7c99968753ac2a1e344ebda7117d38b0aac92639500bba20230efea8ea22e40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cb67113d678a852b642ca699bdde9985edb50a2c731c1399c2a9ba9a8a50a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-05-06T19:30:54Z",
    "title_canon_sha256": "8c2c9658c3162a2f466da30e1ac5b6b90d8a8b332c375f65a58321c74cbaaaaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02520",
    "kind": "arxiv",
    "version": 1
  }
}