Pith Number

pith:GYKRPICB

pith:2016:GYKRPICBPARSBWOOEHINXRSGWW

not attested not anchored not stored refs pending

Equality of the algebraic and geometric ranks of Cartan subalgebras and applications to linearization of a system of ordinary differential equations

Fazal M. Mahomed, Hassan Azad, Indranil Biswas

arxiv:1612.08535 v1 · 2016-12-27 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYKRPICBPARSBWOOEHINXRSGWW}

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	2026-05-18T00:53:52.738697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361517a041782320d9ce21d0dbc646b592957119a9934cefa8bee6824b3a27bf

Aliases

arxiv: 1612.08535 · arxiv_version: 1612.08535v1 · doi: 10.48550/arxiv.1612.08535 · pith_short_12: GYKRPICBPARS · pith_short_16: GYKRPICBPARSBWOO · pith_short_8: GYKRPICB

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/GYKRPICBPARSBWOOEHINXRSGWW \
  | 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: 361517a041782320d9ce21d0dbc646b592957119a9934cefa8bee6824b3a27bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0516cd4e9b4b455bdb1844bfe259b68788b525ab14076e95c6ce594042e44965",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-27T08:40:20Z",
    "title_canon_sha256": "b28d35791eaf45fdfad7c35eb5947dfc1e7ad0ca44d71cd659c7b853de458992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08535",
    "kind": "arxiv",
    "version": 1
  }
}