Pith Number

pith:TQZSVZKB

pith:2009:TQZSVZKBJ77E3FD2ZFMUSBPAD5

not attested not anchored not stored refs pending

Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to $\boldsymbol{\mathfrak{sl}_2}$

Hiroki Kondo, Yoshihisa Saito

arxiv:0901.4221 v3 · 2009-01-27 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQZSVZKBJ77E3FD2ZFMUSBPAD5}

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	2026-05-18T04:40:00.792962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c332ae5414ffe4d947ac9594905e01f5cc8e57d6ead48807a631d55a9a2e48b

Aliases

arxiv: 0901.4221 · arxiv_version: 0901.4221v3 · doi: 10.48550/arxiv.0901.4221 · pith_short_12: TQZSVZKBJ77E · pith_short_16: TQZSVZKBJ77E3FD2 · pith_short_8: TQZSVZKB

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/TQZSVZKBJ77E3FD2ZFMUSBPAD5 \
  | 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: 9c332ae5414ffe4d947ac9594905e01f5cc8e57d6ead48807a631d55a9a2e48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04fa1f5ec1c5435adce0e55a0c0c1fefb6e38eec05ce364866878b7c4e6dbb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-01-27T11:13:53Z",
    "title_canon_sha256": "3cc1829e906da8b50b669bc5eb1d3a3cb5172bbfab760067873ea7b63b5e2c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4221",
    "kind": "arxiv",
    "version": 3
  }
}