Pith Number

pith:ASWX2J4V

pith:2017:ASWX2J4VC4LNOZUOQYVV5PQTRQ

not attested not anchored not stored refs pending

The Schur multiplier of central product of groups

L. R. Vermani, Manoj K. Yadav, Sumana Hatui

arxiv:1711.05933 v1 · 2017-11-16 · 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{ASWX2J4VC4LNOZUOQYVV5PQTRQ}

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	2026-05-18T00:11:18.406391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ad7d27951716d7668e862b5ebe138c01c68e90587d236aa70bde5c12e3922d

Aliases

arxiv: 1711.05933 · arxiv_version: 1711.05933v1 · doi: 10.48550/arxiv.1711.05933 · pith_short_12: ASWX2J4VC4LN · pith_short_16: ASWX2J4VC4LNOZUO · pith_short_8: ASWX2J4V

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/ASWX2J4VC4LNOZUOQYVV5PQTRQ \
  | 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: 04ad7d27951716d7668e862b5ebe138c01c68e90587d236aa70bde5c12e3922d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0e7ec96fed5511f80a984a2ac6190ead08a061ca0ad7255be10f79a7955f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-16T05:34:33Z",
    "title_canon_sha256": "ac030bde9d031cfdb007b5cce29aac4fbb7aca0835ef979d47c176388f641a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05933",
    "kind": "arxiv",
    "version": 1
  }
}