Pith Number

pith:DEZD2BX6

pith:2017:DEZD2BX6QDHP7EJPU55O7NMVEH

not attested not anchored not stored refs pending

On relative commuting probability of finite rings

Parama Dutta, Rajat Kanti Nath

arxiv:1708.05142 v1 · 2017-08-17 · 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{DEZD2BX6QDHP7EJPU55O7NMVEH}

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	2026-05-18T00:37:53.732769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19323d06fe80ceff912fa77aefb59521f892fcd3d79155276b999382dba6d4e2

Aliases

arxiv: 1708.05142 · arxiv_version: 1708.05142v1 · doi: 10.48550/arxiv.1708.05142 · pith_short_12: DEZD2BX6QDHP · pith_short_16: DEZD2BX6QDHP7EJP · pith_short_8: DEZD2BX6

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/DEZD2BX6QDHP7EJPU55O7NMVEH \
  | 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: 19323d06fe80ceff912fa77aefb59521f892fcd3d79155276b999382dba6d4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc09809ec6d6e4e6d9107a00b03bf7caf4b28ebc0cd70809d013a0f724f5938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-17T06:00:26Z",
    "title_canon_sha256": "f929d7883c6c16c45fff41cd4a50a9e80b67a77e514e3f2bb1a7e3ae5476978e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05142",
    "kind": "arxiv",
    "version": 1
  }
}