Pith Number

pith:GHILKJAY

pith:2026:GHILKJAYX3NIOVZC6KGVYW6J2M

not attested not anchored not stored refs pending

Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals

Mikhail Borovoi, Robert M. Guralnick, Willem A. de Graaf

arxiv:2607.19513 v1 · 2026-07-21 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHILKJAYX3NIOVZC6KGVYW6J2M}

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	2026-07-23T00:23:54.426844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d0b52418beda875722f28d5c5bc9d31307886e1800a0e6aaeaad084b2ead84

Aliases

arxiv: 2607.19513 · arxiv_version: 2607.19513v1 · doi: 10.48550/arxiv.2607.19513 · pith_short_12: GHILKJAYX3NI · pith_short_16: GHILKJAYX3NIOVZC · pith_short_8: GHILKJAY

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/GHILKJAYX3NIOVZC6KGVYW6J2M \
  | 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: 31d0b52418beda875722f28d5c5bc9d31307886e1800a0e6aaeaad084b2ead84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d0a9123bfa4034fa1eb1513fb1540d8cf8c611937d672c35ccd6db8b9cf40f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-21T18:55:21Z",
    "title_canon_sha256": "f3c9d43d24b8feabd5fea3bb0bcc1c5aeafa6be6713d7696a7201b9b4d9d0979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19513",
    "kind": "arxiv",
    "version": 1
  }
}