Pith Number

pith:ACHGFWRP

pith:2014:ACHGFWRPTPUZ4I72PSBCHDITH3

not attested not anchored not stored refs pending

On some constructions of nil-clean, clean, and exchange rings

Alin Stancu

arxiv:1404.2662 v1 · 2014-04-10 · 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{ACHGFWRPTPUZ4I72PSBCHDITH3}

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	2026-05-18T02:54:29.893393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008e62da2f9be99e23fa7c82238d133ec6ac06461ec380d9e178c57305dcc0bc

Aliases

arxiv: 1404.2662 · arxiv_version: 1404.2662v1 · doi: 10.48550/arxiv.1404.2662 · pith_short_12: ACHGFWRPTPUZ · pith_short_16: ACHGFWRPTPUZ4I72 · pith_short_8: ACHGFWRP

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/ACHGFWRPTPUZ4I72PSBCHDITH3 \
  | 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: 008e62da2f9be99e23fa7c82238d133ec6ac06461ec380d9e178c57305dcc0bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7223660d71315169a2da7f3137fa82cf3be83f07aea547fc34e8738f8e50d2ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-10T01:20:09Z",
    "title_canon_sha256": "2408bc8f5de778d329b209ffc741f27661ef800913860c697689056b3979dfeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2662",
    "kind": "arxiv",
    "version": 1
  }
}