Pith Number

pith:QAVMGPVG

pith:2016:QAVMGPVGTMRRZJVSZHNQHXXCV5

not attested not anchored not stored refs pending

The complete equivalence canonical form of four matrices over an arbitrary division ring

Qing-Wen Wang, Yang Zhang, Zhuo-Heng He

arxiv:1608.06046 v2 · 2016-08-22 · 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{QAVMGPVGTMRRZJVSZHNQHXXCV5}

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	2026-05-18T00:51:33.978484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802ac33ea69b231ca6b2c9db03dee2af5aaad050f18017543079fff2a4e7e8c3

Aliases

arxiv: 1608.06046 · arxiv_version: 1608.06046v2 · doi: 10.48550/arxiv.1608.06046 · pith_short_12: QAVMGPVGTMRR · pith_short_16: QAVMGPVGTMRRZJVS · pith_short_8: QAVMGPVG

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/QAVMGPVGTMRRZJVSZHNQHXXCV5 \
  | 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: 802ac33ea69b231ca6b2c9db03dee2af5aaad050f18017543079fff2a4e7e8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc5985cc65ac2ade1e312c647b0cba248bfdf81e725697a422f564f9c3a3135",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-22T04:13:46Z",
    "title_canon_sha256": "49cae83da30c78204f1a9b7fc975f5466d74bd163a41273da1c6dcb7ef783a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06046",
    "kind": "arxiv",
    "version": 2
  }
}