Pith Number

pith:54S4XZ76

pith:2017:54S4XZ7647BLBL5UEVX4ZXROXG

not attested not anchored not stored refs pending

\vS{a}povalov elements and the Jantzen sum formula for contragredient Lie superalgebras

Ian M. Musson

arxiv:1710.10528 v1 · 2017-10-28 · 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{54S4XZ7647BLBL5UEVX4ZXROXG}

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	2026-05-18T00:31:47.203303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef25cbe7fee7c2b0afb4256fccde2eb9ba8b6840b5305a90c5eb46974f0ba178

Aliases

arxiv: 1710.10528 · arxiv_version: 1710.10528v1 · doi: 10.48550/arxiv.1710.10528 · pith_short_12: 54S4XZ7647BL · pith_short_16: 54S4XZ7647BLBL5U · pith_short_8: 54S4XZ76

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/54S4XZ7647BLBL5UEVX4ZXROXG \
  | 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: ef25cbe7fee7c2b0afb4256fccde2eb9ba8b6840b5305a90c5eb46974f0ba178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfccd1e2efe766b3a80fce09c9ce47b4b5f8570c3709214f701817946e945139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-28T21:09:19Z",
    "title_canon_sha256": "2f82bf116cc5014cd10858670f9a6e52a17e874d911ac7dba5dd63565943ae7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10528",
    "kind": "arxiv",
    "version": 1
  }
}