Pith Number

pith:KFPFCPAA

pith:2011:KFPFCPAATCJBXLJZ5COH4CZJNI

not attested not anchored not stored refs pending

Zero-divisor graphs of nilpotent-free semigroups

Neil Epstein, Peyman Nasehpour

arxiv:1112.0185 v3 · 2011-12-01 · math.AC · math.AG · math.CO · math.GN · 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{KFPFCPAATCJBXLJZ5COH4CZJNI}

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	2026-05-18T01:34:13.864675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515e513c0098921bad39e89c7e0b296a2e8f09895567d3bf025579230bfcd209

Aliases

arxiv: 1112.0185 · arxiv_version: 1112.0185v3 · doi: 10.48550/arxiv.1112.0185 · pith_short_12: KFPFCPAATCJB · pith_short_16: KFPFCPAATCJBXLJZ · pith_short_8: KFPFCPAA

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/KFPFCPAATCJBXLJZ5COH4CZJNI \
  | 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: 515e513c0098921bad39e89c7e0b296a2e8f09895567d3bf025579230bfcd209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18808ad6069b8884dd4220d9cbcef44b67302c78aaa41dca80ac4155c6740e6c",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.GN",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-01T14:15:18Z",
    "title_canon_sha256": "549b666fe79a0aedfc7f89d8ee1880d4d476ee4c675aae9889f85e29ee6049e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0185",
    "kind": "arxiv",
    "version": 3
  }
}