Pith Number

pith:HF3K4CSP

pith:2019:HF3K4CSPSGQ3ZLVISVVAKY5SRG

not attested not anchored not stored refs pending

Gradings of Lie algebras, magical spin geometries and matrix factorizations

Laurent Manivel (IMT), Roland Abuaf (IF)

arxiv:1901.07252 v1 · 2019-01-22 · math.AG · 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{HF3K4CSPSGQ3ZLVISVVAKY5SRG}

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	2026-05-17T23:55:47.623427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3976ae0a4f91a1bcaea8956a0563b2898ee5f30905f9c8333ba8a0346e4e767c

Aliases

arxiv: 1901.07252 · arxiv_version: 1901.07252v1 · doi: 10.48550/arxiv.1901.07252 · pith_short_12: HF3K4CSPSGQ3 · pith_short_16: HF3K4CSPSGQ3ZLVI · pith_short_8: HF3K4CSP

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/HF3K4CSPSGQ3ZLVISVVAKY5SRG \
  | 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: 3976ae0a4f91a1bcaea8956a0563b2898ee5f30905f9c8333ba8a0346e4e767c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183a9d30d6b4df5533cc96155bcb342e6f9fc2ec8c0245df7e62f654652914da",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-22T10:45:42Z",
    "title_canon_sha256": "0420cdcba6c263019d36194f828f6bfaac358966e37dc7ac88caedfe4d3869a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07252",
    "kind": "arxiv",
    "version": 1
  }
}