Pith Number

pith:JJWQH646

pith:2005:JJWQH646F7X4DLOW3JSR4PUIU5

not attested not anchored not stored refs pending

Derivations from the even parts into the odd parts for Lie superalgebras W and S

Baoling Liu, Wende Liu

arxiv:math/0509177 v1 · 2005-09-08 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJWQH646F7X4DLOW3JSR4PUIU5}

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	2026-05-18T00:09:56.212835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6d03fb9e2fefc1add6da651e3e88a7621e740650c7b6a87aec67f7850c7719

Aliases

arxiv: math/0509177 · arxiv_version: math/0509177v1 · doi: 10.48550/arxiv.math/0509177 · pith_short_12: JJWQH646F7X4 · pith_short_16: JJWQH646F7X4DLOW · pith_short_8: JJWQH646

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/JJWQH646F7X4DLOW3JSR4PUIU5 \
  | 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: 4a6d03fb9e2fefc1add6da651e3e88a7621e740650c7b6a87aec67f7850c7719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9604de1df6df113a1bc33fca608d967c3dd45231017c19136a226f5a182c0f20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-09-08T01:03:33Z",
    "title_canon_sha256": "af8273d11ef0c3ae8e90d141efd4ebc33731e51da02ac64ad9be002c7de7c26a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509177",
    "kind": "arxiv",
    "version": 1
  }
}