Pith Number

pith:KEUPVC6S

pith:2016:KEUPVC6SUA3353MZBSEFNI2E5Q

not attested not anchored not stored refs pending

A note on the order of the Schur multiplier of p-groups

Pradeep K. Rai

arxiv:1606.01493 v1 · 2016-06-05 · 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{KEUPVC6SUA3353MZBSEFNI2E5Q}

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	2026-05-18T01:12:54.046573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5128fa8bd2a037beed990c8856a344ec20581da1a72818901f2aebe5be0b9a13

Aliases

arxiv: 1606.01493 · arxiv_version: 1606.01493v1 · doi: 10.48550/arxiv.1606.01493 · pith_short_12: KEUPVC6SUA33 · pith_short_16: KEUPVC6SUA3353MZ · pith_short_8: KEUPVC6S

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/KEUPVC6SUA3353MZBSEFNI2E5Q \
  | 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: 5128fa8bd2a037beed990c8856a344ec20581da1a72818901f2aebe5be0b9a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa1dd5dd66efa6416182134ba8613988a10a652ea7d901d5948ace2220341ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-05T11:23:01Z",
    "title_canon_sha256": "a7467e22cb7b8a957d18fbd162fb3743776b1357a696a2cc194d03d5fda8caf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01493",
    "kind": "arxiv",
    "version": 1
  }
}