Pith Number

pith:264G7IB4

pith:2018:264G7IB4K3DDPOC5THPU5N7UZA

not attested not anchored not stored refs pending

Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras

Wende Liu, Wenjuan Xie

arxiv:1809.02166 v1 · 2018-09-05 · 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{264G7IB4K3DDPOC5THPU5N7UZA}

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	2026-05-18T00:06:17.795733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b86fa03c56c637b85d99df4eb7f4c807f928a76ffcaa1c8e17d852111b4b94

Aliases

arxiv: 1809.02166 · arxiv_version: 1809.02166v1 · doi: 10.48550/arxiv.1809.02166 · pith_short_12: 264G7IB4K3DD · pith_short_16: 264G7IB4K3DDPOC5 · pith_short_8: 264G7IB4

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/264G7IB4K3DDPOC5THPU5N7UZA \
  | 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: d7b86fa03c56c637b85d99df4eb7f4c807f928a76ffcaa1c8e17d852111b4b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ee007313b91ff95ea738b6c6f251487af20ecc784244a12d8687db8fcac7eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-09-05T07:48:07Z",
    "title_canon_sha256": "5a3ad7ad3eea85ae4367ffb83822a6ed43fe59385f244f0e9a8d4318dc9e8b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02166",
    "kind": "arxiv",
    "version": 1
  }
}