Pith Number

pith:4Z2UIQPT

pith:2012:4Z2UIQPTNBMEWTSQTK2GM3SWHP

not attested not anchored not stored refs pending

The matrix between PBW basis and semicanonical basis of $U^+(sl_n(\mathbb{C}))$

Hongbo Yin, Shunhua Zhang

arxiv:1212.2297 v1 · 2012-12-11 · math.RT · 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{4Z2UIQPTNBMEWTSQTK2GM3SWHP}

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	2026-05-18T03:38:45.374665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6754441f368584b4e509ab4666e563be24bdd6dffa5373e1d57cbad320db33a

Aliases

arxiv: 1212.2297 · arxiv_version: 1212.2297v1 · doi: 10.48550/arxiv.1212.2297 · pith_short_12: 4Z2UIQPTNBME · pith_short_16: 4Z2UIQPTNBMEWTSQ · pith_short_8: 4Z2UIQPT

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/4Z2UIQPTNBMEWTSQTK2GM3SWHP \
  | 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: e6754441f368584b4e509ab4666e563be24bdd6dffa5373e1d57cbad320db33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "610291c8f43cc536ec4af3e95d9dc1d326e573a28f9699e9210ba1ac9cfc97d4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-11T04:34:36Z",
    "title_canon_sha256": "c6e8207ccbec29833ecb48934299c827ca22ce51172165ecc2083e14a53dc95c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2297",
    "kind": "arxiv",
    "version": 1
  }
}