Pith Number

pith:FSGHRNRY

pith:2023:FSGHRNRY2WQSEZX2IT7QNFODSH

not attested not anchored not stored refs pending

Rings whose Nil-Clean and Clean Elements are Uniquely Nil-Clean

Danya-Jin, Jian Cui, Peter Danchev

arxiv:2307.16237 v1 · 2023-07-30 · 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{FSGHRNRY2WQSEZX2IT7QNFODSH}

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	2026-07-05T06:36:00.665687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8c78b638d5a12266fa44ff0695c391ed29ae43945a4bd073eec010ef079d03

Aliases

arxiv: 2307.16237 · arxiv_version: 2307.16237v1 · doi: 10.48550/arxiv.2307.16237 · pith_short_12: FSGHRNRY2WQS · pith_short_16: FSGHRNRY2WQSEZX2 · pith_short_8: FSGHRNRY

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/FSGHRNRY2WQSEZX2IT7QNFODSH \
  | 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: 2c8c78b638d5a12266fa44ff0695c391ed29ae43945a4bd073eec010ef079d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2804109f7734b2fbbf93647aa097a1e299f3adc28e3462855f06769e1a11579",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-07-30T14:02:46Z",
    "title_canon_sha256": "634d05f063c13c1b0d0157660404fe09894244e9a5440ff30a5ae9284aca4ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.16237",
    "kind": "arxiv",
    "version": 1
  }
}