Pith Number

pith:BJVLD7DF

pith:2016:BJVLD7DFRNX5NWOU7BHYU3FGUD

not attested not anchored not stored refs pending

Module structure on $U(\mathfrak{h})$ for Kac-Moody algebras

Haijun Tan, Kaiming Zhao, Yan-an Cai

arxiv:1606.01891 v2 · 2016-06-06 · 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{BJVLD7DFRNX5NWOU7BHYU3FGUD}

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	2026-05-18T01:11:30.482975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6ab1fc658b6fd6d9d4f84f8a6ca6a0e7f3585e05362379bfde965c5c78f125

Aliases

arxiv: 1606.01891 · arxiv_version: 1606.01891v2 · doi: 10.48550/arxiv.1606.01891 · pith_short_12: BJVLD7DFRNX5 · pith_short_16: BJVLD7DFRNX5NWOU · pith_short_8: BJVLD7DF

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/BJVLD7DFRNX5NWOU7BHYU3FGUD \
  | 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: 0a6ab1fc658b6fd6d9d4f84f8a6ca6a0e7f3585e05362379bfde965c5c78f125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0438aac0173c264f8cb25c97e6e0167f1f8f0f0895b0a359c721fd64a4b480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-06T06:26:50Z",
    "title_canon_sha256": "db0f68c15fe3031182dd9b2ae27ee2bd79015a188d28704e892154d5483b2b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01891",
    "kind": "arxiv",
    "version": 2
  }
}