Pith Number

pith:4JSKACFW

pith:2010:4JSKACFWTDN7TCMWUBE6ZVQ466

not attested not anchored not stored refs pending

Super duality and homology of unitarizable modules of Lie algebras

Ngau Lam, Po-Yi Huang, Tze-Ming To

arxiv:1012.1087 v1 · 2010-12-06 · 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{4JSKACFWTDN7TCMWUBE6ZVQ466}

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	2026-05-18T04:34:01.856797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e264a008b698dbf98996a049ecd61cf781b5961cd4912786ca2c3cff0a40df7b

Aliases

arxiv: 1012.1087 · arxiv_version: 1012.1087v1 · doi: 10.48550/arxiv.1012.1087 · pith_short_12: 4JSKACFWTDN7 · pith_short_16: 4JSKACFWTDN7TCMW · pith_short_8: 4JSKACFW

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/4JSKACFWTDN7TCMWUBE6ZVQ466 \
  | 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: e264a008b698dbf98996a049ecd61cf781b5961cd4912786ca2c3cff0a40df7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6610c3a50ac3fc023a9ffaa7778c5de571293fb4821c76d3f5ed55dc73751896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-06T06:58:54Z",
    "title_canon_sha256": "c46f6766f7d369b3b810f20b36e2bef7f18b21b8533aa8138a8f89c08d25b063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1087",
    "kind": "arxiv",
    "version": 1
  }
}