Pith Number

pith:MCNIVDV3

pith:2005:MCNIVDV3IGTTIY6WIJN3CE7BSV

not attested not anchored not stored refs pending

Sub-semigroups determined by the zero-divisor graph

Dancheng Lu, Tongsuo Wu

arxiv:math/0512568 v1 · 2005-12-26 · 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{MCNIVDV3IGTTIY6WIJN3CE7BSV}

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	2026-05-18T00:17:47.703392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609a8a8ebb41a73463d6425bb113e195476134694378d108294695aaeb8efc06

Aliases

arxiv: math/0512568 · arxiv_version: math/0512568v1 · doi: 10.48550/arxiv.math/0512568 · pith_short_12: MCNIVDV3IGTT · pith_short_16: MCNIVDV3IGTTIY6W · pith_short_8: MCNIVDV3

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/MCNIVDV3IGTTIY6WIJN3CE7BSV \
  | 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: 609a8a8ebb41a73463d6425bb113e195476134694378d108294695aaeb8efc06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3428150f1c65afa3b99b6e107255ab708ee631078cac97cdc6ec28b7fe0520",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-12-26T07:31:07Z",
    "title_canon_sha256": "95acb1071d8a43ec10e78b5ff6fc9c946389f4c7397f78977cf27ce425047419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512568",
    "kind": "arxiv",
    "version": 1
  }
}