Pith Number

pith:JRK7JF3W

pith:2019:JRK7JF3WKOP4R5DYTG3SLWPOIJ

not attested not anchored not stored refs pending

Finite groups with five relative commutativity degrees

Mohammad Farrokhi Derakhshandeh Ghouchan

arxiv:1912.04550 v1 · 2019-12-10 · 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{JRK7JF3WKOP4R5DYTG3SLWPOIJ}

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	2026-07-05T00:25:00.409048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c55f49776539fc8f47899b725d9ee425d6b28e420df41e4189a399bc9b25125

Aliases

arxiv: 1912.04550 · arxiv_version: 1912.04550v1 · doi: 10.48550/arxiv.1912.04550 · pith_short_12: JRK7JF3WKOP4 · pith_short_16: JRK7JF3WKOP4R5DY · pith_short_8: JRK7JF3W

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/JRK7JF3WKOP4R5DYTG3SLWPOIJ \
  | 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: 4c55f49776539fc8f47899b725d9ee425d6b28e420df41e4189a399bc9b25125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5d333ae728361de7852649e352c13d7a892f32ed2b1e6ac4f3a03619811331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-12-10T07:40:14Z",
    "title_canon_sha256": "33a5c6d96577d273abe7c7f28596dc162e8392a6f6716b57675e0f3f8354dae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.04550",
    "kind": "arxiv",
    "version": 1
  }
}