Pith Number

pith:BRVMUUKS

pith:2016:BRVMUUKSWCLT5EXMN4AU7A33DO

not attested not anchored not stored refs pending

Roth's solvability criteria for the matrix equations ${AX-\widehat XB=C}$ and ${X-A\widehat{X}B=C}$ over the skew field of quaternions with an involutive automorphism $q\mapsto \hat q$

Tetiana Klymchuk, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1611.04527 v1 · 2016-11-11 · math.RA · math.RT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRVMUUKSWCLT5EXMN4AU7A33DO}

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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	2026-05-18T00:59:12.876568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6aca5152b0973e92ec6f014f837b1baf7d3eb2241a7bef70317e9c141cc012

Aliases

arxiv: 1611.04527 · arxiv_version: 1611.04527v1 · doi: 10.48550/arxiv.1611.04527 · pith_short_12: BRVMUUKSWCLT · pith_short_16: BRVMUUKSWCLT5EXM · pith_short_8: BRVMUUKS

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/BRVMUUKSWCLT5EXMN4AU7A33DO \
  | 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: 0c6aca5152b0973e92ec6f014f837b1baf7d3eb2241a7bef70317e9c141cc012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c276d536f62c53b76b39061a483c3b8a64b4c163b6fd740ad982916f3e1e6f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-11-11T00:37:53Z",
    "title_canon_sha256": "90db032ea4aef90fe6db4ffeb62904a3e4034d867038d609a348883021f51546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04527",
    "kind": "arxiv",
    "version": 1
  }
}