Pith Number

pith:VZEU76GX

pith:2015:VZEU76GXGFWY3ZTFANOCGEDUOH

not attested not anchored not stored refs pending

On commuting probability of finite rings

Dhiren Kumar Basnet, Jutirekha Dutta, Rajat Kanti Nath

arxiv:1510.08211 v1 · 2015-10-28 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZEU76GXGFWY3ZTFANOCGEDUOH}

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	2026-05-18T01:28:36.871691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae494ff8d7316d8de665035c23107471da20842e9355ef4dd2820dacc03914d2

Aliases

arxiv: 1510.08211 · arxiv_version: 1510.08211v1 · doi: 10.48550/arxiv.1510.08211 · pith_short_12: VZEU76GXGFWY · pith_short_16: VZEU76GXGFWY3ZTF · pith_short_8: VZEU76GX

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/VZEU76GXGFWY3ZTFANOCGEDUOH \
  | 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: ae494ff8d7316d8de665035c23107471da20842e9355ef4dd2820dacc03914d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4af4eb56c53fca0e348482618092477c2191565d4a2a18549c3759a61df315a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-28T07:02:20Z",
    "title_canon_sha256": "c463b1267daa65ab0dbd58eb923e0893494808faa0e167a4acb0d43f022be4a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08211",
    "kind": "arxiv",
    "version": 1
  }
}