Pith Number

pith:OXU6GTUD

pith:2011:OXU6GTUDSS4SX44KFIMC3HMLLF

not attested not anchored not stored refs pending

On zero divisors and prime elements of po-semirings

Dancheng Lu, Tongsuo Wu, Yuanlin Li

arxiv:1106.0348 v2 · 2011-06-02 · math.RA · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXU6GTUDSS4SX44KFIMC3HMLLF}

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	2026-05-18T02:58:43.608719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e9e34e8394b92bf38a2a182d9d8b597f189f5aeb4ce1e1e0a042544dc0aad7

Aliases

arxiv: 1106.0348 · arxiv_version: 1106.0348v2 · doi: 10.48550/arxiv.1106.0348 · pith_short_12: OXU6GTUDSS4S · pith_short_16: OXU6GTUDSS4SX44K · pith_short_8: OXU6GTUD

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/OXU6GTUDSS4SX44KFIMC3HMLLF \
  | 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: 75e9e34e8394b92bf38a2a182d9d8b597f189f5aeb4ce1e1e0a042544dc0aad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f506bebcde73fe728561405e48d8e57dc27c22cd37313790cf7fdde96bce2b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-02T00:23:43Z",
    "title_canon_sha256": "b280c0179da3e81a6bd030a26222379a5e2ee8754f78d5014fb2bc3d088fbf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0348",
    "kind": "arxiv",
    "version": 2
  }
}