Pith Number

pith:ZW33OUHD

pith:2013:ZW33OUHD5TR7W6TPFQPMQOAE4D

not attested not anchored not stored refs pending

Irreducible representations of untwisted affine Kac-Moody algebras

Kaiming Zhao, Xiangqian Guo

arxiv:1305.4059 v2 · 2013-05-17 · 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{ZW33OUHD5TR7W6TPFQPMQOAE4D}

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	2026-05-18T01:23:59.124759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb7b750e3ece3fb7a6f2c1ec83804e0fc3b3c9ea1da08a8e700470e2bdabb02

Aliases

arxiv: 1305.4059 · arxiv_version: 1305.4059v2 · doi: 10.48550/arxiv.1305.4059 · pith_short_12: ZW33OUHD5TR7 · pith_short_16: ZW33OUHD5TR7W6TP · pith_short_8: ZW33OUHD

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/ZW33OUHD5TR7W6TPFQPMQOAE4D \
  | 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: cdb7b750e3ece3fb7a6f2c1ec83804e0fc3b3c9ea1da08a8e700470e2bdabb02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967532864dba418f826c3f89f5cd189096751a3056d72e2f46d9d70d580fee4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-17T12:25:54Z",
    "title_canon_sha256": "e0beddcf6c736433f95bb83e8eddc9313b9787fd318c15d57270a14e61e523e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4059",
    "kind": "arxiv",
    "version": 2
  }
}