Pith Number

pith:L3TT5W7A

pith:2017:L3TT5W7A643HGKH74KMM75BGL3

not attested not anchored not stored refs pending

Energy of commuting graph of finite groups whose centralizers are Abelian

Rajat Kanti Nath, Reza Sharafdini, Rezvan Darbandi

arxiv:1704.06464 v2 · 2017-04-21 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3TT5W7A643HGKH74KMM75BGL3}

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	2026-05-17T23:47:40.307679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee73edbe0f7367328ffe298cff4265ee79af8354fbc114f88516206d1839d30

Aliases

arxiv: 1704.06464 · arxiv_version: 1704.06464v2 · doi: 10.48550/arxiv.1704.06464 · pith_short_12: L3TT5W7A643H · pith_short_16: L3TT5W7A643HGKH7 · pith_short_8: L3TT5W7A

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/L3TT5W7A643HGKH74KMM75BGL3 \
  | 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: 5ee73edbe0f7367328ffe298cff4265ee79af8354fbc114f88516206d1839d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240d2d970267b9fd5de2b007b69f7a16a2d4f197db863a0fde52eaf198ebb929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-21T09:48:01Z",
    "title_canon_sha256": "b0766fd916799f664126f7bd4c5a7ff0bf16872c5e9c8a8562156da2303e2a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06464",
    "kind": "arxiv",
    "version": 2
  }
}