Pith Number

pith:AJ3YRWRL

pith:2016:AJ3YRWRL4Q4GKOY3SVNTTLCP3Z

not attested not anchored not stored refs pending

Cramer's rules for Hermitian systems of coquaternionic equations

Ivan Kyrchei

arxiv:1609.09668 v1 · 2016-09-30 · 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{AJ3YRWRL4Q4GKOY3SVNTTLCP3Z}

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	2026-05-18T01:03:35.361686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027788da2be438653b1b955b39ac4fde6e740772acee497fcda7003122a0634b

Aliases

arxiv: 1609.09668 · arxiv_version: 1609.09668v1 · doi: 10.48550/arxiv.1609.09668 · pith_short_12: AJ3YRWRL4Q4G · pith_short_16: AJ3YRWRL4Q4GKOY3 · pith_short_8: AJ3YRWRL

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/AJ3YRWRL4Q4GKOY3SVNTTLCP3Z \
  | 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: 027788da2be438653b1b955b39ac4fde6e740772acee497fcda7003122a0634b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c094f926147024cb187f4d9e1c3e6fed0101e2f9e839ddd9dd67a4d8e28864ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-30T10:58:35Z",
    "title_canon_sha256": "f41c60ec3b6237dc3166359273608325cd852d8b5583b24cf3ffdeb292c3dc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09668",
    "kind": "arxiv",
    "version": 1
  }
}