Pith Number

pith:VW2RPPMO

pith:2021:VW2RPPMOWZRUDWOIXDYLAL6RNW

not attested not anchored not stored refs pending

Toward a Jacobson--Morozov theorem for Kac--Moody Lie algebras

Sam Jeralds

arxiv:2108.01120 v1 · 2021-08-02 · 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{VW2RPPMOWZRUDWOIXDYLAL6RNW}

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	2026-07-05T03:02:59.632084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb517bd8eb66341d9c8b8f0b02fd16d9d074aa50712d0fabfb21ffe518ef6dc

Aliases

arxiv: 2108.01120 · arxiv_version: 2108.01120v1 · doi: 10.48550/arxiv.2108.01120 · pith_short_12: VW2RPPMOWZRU · pith_short_16: VW2RPPMOWZRUDWOI · pith_short_8: VW2RPPMO

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/VW2RPPMOWZRUDWOIXDYLAL6RNW \
  | 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: adb517bd8eb66341d9c8b8f0b02fd16d9d074aa50712d0fabfb21ffe518ef6dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5b1b1d494a31ead545983d325fc2d3c60eb2e8c210d50dd58c2817dd709bc6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-08-02T18:37:42Z",
    "title_canon_sha256": "741ca8f55f38b0c35b26a183c13ca9c530037c21cbb43ec2310425fa255f90e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.01120",
    "kind": "arxiv",
    "version": 1
  }
}