Pith Number

pith:LVUT62H6

pith:2018:LVUT62H6DC3PJPNSQZIREMJD3V

not attested not anchored not stored refs pending

The number of cyclic subgroups of finite abelian groups and Menon's identity

Marius T\u{a}rn\u{a}uceanu

arxiv:1811.04563 v1 · 2018-11-12 · 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{LVUT62H6DC3PJPNSQZIREMJD3V}

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.

Cited by

1 paper in Pith

Meta-Learning for Speeding Up Large Model Inference in Decentralized Environments

Receipt and verification

First computed	2026-05-18T00:01:04.770465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d693f68fe18b6f4bdb28651123123dd71a34e3f4251d035e7127db79df00e2a

Aliases

arxiv: 1811.04563 · arxiv_version: 1811.04563v1 · doi: 10.48550/arxiv.1811.04563 · pith_short_12: LVUT62H6DC3P · pith_short_16: LVUT62H6DC3PJPNS · pith_short_8: LVUT62H6

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/LVUT62H6DC3PJPNSQZIREMJD3V \
  | 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: 5d693f68fe18b6f4bdb28651123123dd71a34e3f4251d035e7127db79df00e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87c92411cea29a0107bb638b1d949654a02c1645adbb07bf69ec744bcb1294a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-12T05:36:22Z",
    "title_canon_sha256": "440f38cfe42109a177a2bc6a056af86db5519bf2626e55cc1722cc1262901d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04563",
    "kind": "arxiv",
    "version": 1
  }
}