Pith Number

pith:FUOYUG7C

pith:2026:FUOYUG7C4REKK5AKKMHFYW4H4J

not attested not anchored not stored refs pending

Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules

Shuoyang Xu, Volodymyr Mazorchuk

arxiv:2606.19028 v1 · 2026-06-17 · 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{FUOYUG7C4REKK5AKKMHFYW4H4J}

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	2026-06-19T16:11:54.877083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1d8a1be2e448a5740a530e5c5b87e25f0327391c0c45c17224c5c28dbcf727

Aliases

arxiv: 2606.19028 · arxiv_version: 2606.19028v1 · doi: 10.48550/arxiv.2606.19028 · pith_short_12: FUOYUG7C4REK · pith_short_16: FUOYUG7C4REKK5AK · pith_short_8: FUOYUG7C

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/FUOYUG7C4REKK5AKKMHFYW4H4J \
  | 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: 2d1d8a1be2e448a5740a530e5c5b87e25f0327391c0c45c17224c5c28dbcf727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a693fdca20a9c16e0ed7b9dbc732bdfcc8f7e301566f3c9df557362c8c82c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-17T12:56:40Z",
    "title_canon_sha256": "b5fb2fc8e75a91676c485ccfdabe229b34ca1321967f95d0ea7ee3ab8d657a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19028",
    "kind": "arxiv",
    "version": 1
  }
}