Pith Number

pith:XVXQ4IM6

pith:2017:XVXQ4IM63EAC4WG77ICCCM3SII

not attested not anchored not stored refs pending

Cramer's rules for the solution to the two-sided restricted quaternion matrix equation

Ivan Kyrchei

arxiv:1708.01515 v1 · 2017-08-02 · 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{XVXQ4IM63EAC4WG77ICCCM3SII}

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	2026-05-18T00:38:37.179991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6f0e219ed9002e58dffa042133724222ae088c20def97fba6c8d433003f7b5

Aliases

arxiv: 1708.01515 · arxiv_version: 1708.01515v1 · doi: 10.48550/arxiv.1708.01515 · pith_short_12: XVXQ4IM63EAC · pith_short_16: XVXQ4IM63EAC4WG7 · pith_short_8: XVXQ4IM6

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/XVXQ4IM63EAC4WG77ICCCM3SII \
  | 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: bd6f0e219ed9002e58dffa042133724222ae088c20def97fba6c8d433003f7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd0402f273ee95edd5cadf36bd16d1cfce5c988741874c31c884c3bc00e8f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-02T20:57:49Z",
    "title_canon_sha256": "a0e15949aa6fb4efcc7e11d906bedddc2d6db272e02fea73e604c23bd3619ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01515",
    "kind": "arxiv",
    "version": 1
  }
}