Pith Number

pith:VVRYQPQN

pith:2019:VVRYQPQNQ7GWW6ZVTWKKWHGYLE

not attested not anchored not stored refs pending

Reduction of matrices over simple Ore domains

Bohdan Zabavsky, Victor Bovdi

arxiv:1908.04545 v1 · 2019-08-13 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVRYQPQNQ7GWW6ZVTWKKWHGYLE}

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	2026-07-04T23:55:14.626166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad63883e0d87cd6b7b359d94ab1cd8590631a777322dfc46ba1b55b0c15f62d5

Aliases

arxiv: 1908.04545 · arxiv_version: 1908.04545v1 · doi: 10.48550/arxiv.1908.04545 · pith_short_12: VVRYQPQNQ7GW · pith_short_16: VVRYQPQNQ7GWW6ZV · pith_short_8: VVRYQPQN

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/VVRYQPQNQ7GWW6ZVTWKKWHGYLE \
  | 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: ad63883e0d87cd6b7b359d94ab1cd8590631a777322dfc46ba1b55b0c15f62d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a26ae6d1ce1656182b04575eb4ba4f5a456025829bacc26fbaf67997ce1168",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-13T08:55:17Z",
    "title_canon_sha256": "2ec76fa99e65994572733890eb9d87df68e19aa3f520eb14e3e9281af191de62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04545",
    "kind": "arxiv",
    "version": 1
  }
}