Pith Number

pith:ZF5MCK7O

pith:2016:ZF5MCK7OMXELKVK4KK3Y3WXCMC

not attested not anchored not stored refs pending

Lowest sl(2)-types in sl(n)-representations with respect to a principal embedding

Hassan Lhou, Jeb F. Willenbring

arxiv:1603.04935 v3 · 2016-03-16 · 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{ZF5MCK7OMXELKVK4KK3Y3WXCMC}

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	2026-05-18T01:11:58.969333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97ac12bee65c8b5555c52b78ddae260bde6de4824e03ab5ed30f89e268936ec

Aliases

arxiv: 1603.04935 · arxiv_version: 1603.04935v3 · doi: 10.48550/arxiv.1603.04935 · pith_short_12: ZF5MCK7OMXEL · pith_short_16: ZF5MCK7OMXELKVK4 · pith_short_8: ZF5MCK7O

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/ZF5MCK7OMXELKVK4KK3Y3WXCMC \
  | 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: c97ac12bee65c8b5555c52b78ddae260bde6de4824e03ab5ed30f89e268936ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018d202639abe3d891f6176e4fd111b6a078a9994b690f8716f1c414b5b72bb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-16T01:31:28Z",
    "title_canon_sha256": "4f3e4418dbbbb3e0bd7d28158853f0cc9f32a72564a89331535aabe21d49f061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04935",
    "kind": "arxiv",
    "version": 3
  }
}