Pith Number

pith:RSB5Q4CA

pith:2011:RSB5Q4CA2XJQAKAADEXW4CS5GK

not attested not anchored not stored refs pending

Loewy series of Weyl modules and the Poincar\'{e} polynomials of quiver varieties

Katsuyuki Naoi, Ryosuke Kodera

arxiv:1103.4207 v1 · 2011-03-22 · math.RT · 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{RSB5Q4CA2XJQAKAADEXW4CS5GK}

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	2026-05-18T04:26:21.359297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c83d87040d5d3002800192f6e0a5d32923b49084ab1765b95d73f030e363ff3

Aliases

arxiv: 1103.4207 · arxiv_version: 1103.4207v1 · doi: 10.48550/arxiv.1103.4207 · pith_short_12: RSB5Q4CA2XJQ · pith_short_16: RSB5Q4CA2XJQAKAA · pith_short_8: RSB5Q4CA

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/RSB5Q4CA2XJQAKAADEXW4CS5GK \
  | 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: 8c83d87040d5d3002800192f6e0a5d32923b49084ab1765b95d73f030e363ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47cfdee658a6d742a1b48c87fa63e3e6fb96b64acf8d680e96548c157c2d0bc6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-22T05:41:11Z",
    "title_canon_sha256": "ffeac33b722631d9ae9a34a8a88a5d6e6f4d34a7032c9672bf1d26e04d70b3b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4207",
    "kind": "arxiv",
    "version": 1
  }
}