Pith Number

pith:CNC7IKFD

pith:2019:CNC7IKFD7JQK6MRFXS7KCKK7C3

not attested not anchored not stored refs pending

The automorphism group of the zero-divisor digraph of matrices over an antiring

David Dol\v{z}an, Gabriel Verret

arxiv:1908.04614 v1 · 2019-08-13 · math.AC · math.CO · 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{CNC7IKFD7JQK6MRFXS7KCKK7C3}

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	2026-07-04T23:55:15.037239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1345f428a3fa60af3225bcbea1295f16d02e20684502c4e0b422823225ebc727

Aliases

arxiv: 1908.04614 · arxiv_version: 1908.04614v1 · doi: 10.48550/arxiv.1908.04614 · pith_short_12: CNC7IKFD7JQK · pith_short_16: CNC7IKFD7JQK6MRF · pith_short_8: CNC7IKFD

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/CNC7IKFD7JQK6MRFXS7KCKK7C3 \
  | 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: 1345f428a3fa60af3225bcbea1295f16d02e20684502c4e0b422823225ebc727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3343250ea9eb40dc8248bbb348bb42d9e09cce2d733b2b592048b0c85b30c4e3",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-13T12:52:55Z",
    "title_canon_sha256": "a20ae310f63e69064c32af13ae35448e62b8cee7232d69d1ac12942e92a26d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04614",
    "kind": "arxiv",
    "version": 1
  }
}