Pith Number

pith:T4Z7FCV7

pith:2010:T4Z7FCV7RHBIMYH3H4JEYTBDWW

not attested not anchored not stored refs pending

Expected degree of weights in Demazure modules of $\hat{sl}_2$

Stavros Kousidis, Thomas Bliem

arxiv:1005.3256 v1 · 2010-05-18 · 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{T4Z7FCV7RHBIMYH3H4JEYTBDWW}

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	2026-05-18T04:09:54.661622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f33f28abf89c28660fb3f124c4c23b5bd8bb576a1fdec1f0891783af0a56d00

Aliases

arxiv: 1005.3256 · arxiv_version: 1005.3256v1 · doi: 10.48550/arxiv.1005.3256 · pith_short_12: T4Z7FCV7RHBI · pith_short_16: T4Z7FCV7RHBIMYH3 · pith_short_8: T4Z7FCV7

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/T4Z7FCV7RHBIMYH3H4JEYTBDWW \
  | 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: 9f33f28abf89c28660fb3f124c4c23b5bd8bb576a1fdec1f0891783af0a56d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3094a23144fcd755f0ac6e8c86dff1e58ee5e74c9d4c6b5fa413f5c032cd0185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-05-18T17:12:45Z",
    "title_canon_sha256": "c4b7b1f5d798ee0e7df60646dabf96876e1dde2de4e5c3e2e8a33d7e0567be0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3256",
    "kind": "arxiv",
    "version": 1
  }
}