Pith Number

pith:NGR32VPI

pith:2019:NGR32VPITQ2FA2EIWCRQMJXLGT

not attested not anchored not stored refs pending

Schur multipliers of special p-groups of rank 2

Sumana Hatui

arxiv:1908.06409 v1 · 2019-08-18 · 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{NGR32VPITQ2FA2EIWCRQMJXLGT}

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	2026-07-05T01:10:27.456702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a3bd55e89c34506888b0a30626eb34e0fd7a691a3429045bd7f5500155e028

Aliases

arxiv: 1908.06409 · arxiv_version: 1908.06409v1 · doi: 10.48550/arxiv.1908.06409 · pith_short_12: NGR32VPITQ2F · pith_short_16: NGR32VPITQ2FA2EI · pith_short_8: NGR32VPI

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/NGR32VPITQ2FA2EIWCRQMJXLGT \
  | 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: 69a3bd55e89c34506888b0a30626eb34e0fd7a691a3429045bd7f5500155e028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d7434240cebb0d4c866d37e7d6096dfdee8c926462ab49880d4f028471d3f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-18T09:35:45Z",
    "title_canon_sha256": "ac65dc7e02be20636fd95afc1d3e15e82bf5002bcfd13901ed77265000fdf517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06409",
    "kind": "arxiv",
    "version": 1
  }
}