Pith Number

pith:CFXFZAA4

pith:2005:CFXFZAA4N7HS2IEBF53ZG4MTY7

not attested not anchored not stored refs pending

Derivations for the even parts of modular Lie superalgebras $W$ and $S$ of Cartan type

Wende Liu, Yongzheng Zhang

arxiv:math/0507512 v1 · 2005-07-25 · 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{CFXFZAA4N7HS2IEBF53ZG4MTY7}

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	2026-05-18T00:09:42.690489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116e5c801c6fcf2d20812f77937193c7c0b5c2ae99bd0fe44bc2b9cd51cf7de5

Aliases

arxiv: math/0507512 · arxiv_version: math/0507512v1 · doi: 10.48550/arxiv.math/0507512 · pith_short_12: CFXFZAA4N7HS · pith_short_16: CFXFZAA4N7HS2IEB · pith_short_8: CFXFZAA4

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/CFXFZAA4N7HS2IEBF53ZG4MTY7 \
  | 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: 116e5c801c6fcf2d20812f77937193c7c0b5c2ae99bd0fe44bc2b9cd51cf7de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0222678b0b0d147e3a579626230eca539b32bab05b47302acb345fecd5e221f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-07-25T14:20:51Z",
    "title_canon_sha256": "b797626efba911731b6512f4a8408e95e3c4d4218d8bf84710b497eee47c8db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507512",
    "kind": "arxiv",
    "version": 1
  }
}