Pith Number

pith:L5PGV2NB

pith:2026:L5PGV2NB6F4HEQM4WP3IT6NC65

not attested not anchored not stored refs pending

On the Humphreys-Verma Conjecture for semisimple algebraic groups of rank $2$

Haralampos Geranios, Stephen Donkin

arxiv:2606.23954 v1 · 2026-06-22 · 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{L5PGV2NB6F4HEQM4WP3IT6NC65}

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	2026-06-24T00:14:31.212724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5e6ae9a1f17872419cb3f689f9a2f741121781b77028ce7fb7dd38a8043816

Aliases

arxiv: 2606.23954 · arxiv_version: 2606.23954v1 · doi: 10.48550/arxiv.2606.23954 · pith_short_12: L5PGV2NB6F4H · pith_short_16: L5PGV2NB6F4HEQM4 · pith_short_8: L5PGV2NB

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/L5PGV2NB6F4HEQM4WP3IT6NC65 \
  | 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: 5f5e6ae9a1f17872419cb3f689f9a2f741121781b77028ce7fb7dd38a8043816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e489f319e6914964e7e5bbd69e48d14db0cd0d8cf95ca2476e15e9ee47165b85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-22T21:29:19Z",
    "title_canon_sha256": "580c956bc66be7ad3f38a4657c306de825d6d359f84667356cb13e045dda17ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23954",
    "kind": "arxiv",
    "version": 1
  }
}