Pith Number

pith:FKIC6WP6

pith:2014:FKIC6WP6Q3NEPIG3VBKS5RUXRM

not attested not anchored not stored refs pending

Rings in which every element is either a sum or a difference of a nilpotent and an idempotent

Peter Danchev, Simion Breaz, Yiqiang Zhou

arxiv:1412.5544 v1 · 2014-12-17 · 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{FKIC6WP6Q3NEPIG3VBKS5RUXRM}

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	2026-05-18T02:31:02.784986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a902f59fe86da47a0dba8552ec6978b111aea98e8da2769ada044b51ec67d80

Aliases

arxiv: 1412.5544 · arxiv_version: 1412.5544v1 · doi: 10.48550/arxiv.1412.5544 · pith_short_12: FKIC6WP6Q3NE · pith_short_16: FKIC6WP6Q3NEPIG3 · pith_short_8: FKIC6WP6

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/FKIC6WP6Q3NEPIG3VBKS5RUXRM \
  | 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: 2a902f59fe86da47a0dba8552ec6978b111aea98e8da2769ada044b51ec67d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450839951308c52c3f269bb5bb65b1bd2ad322a95564de894868182d0c407832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-17T19:49:26Z",
    "title_canon_sha256": "cdd321948fe8fd1e0654094857c352ec23c9c252f655ceeafb9381781e08b60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5544",
    "kind": "arxiv",
    "version": 1
  }
}