Pith Number

pith:PRZRNHHL

pith:2010:PRZRNHHLLHU3RS5WMGEPSR75NL

not attested not anchored not stored refs pending

Modules with 1-dimensional socle and components of Lusztig quiver varieties in type A

Chandrika Sadanand, Joel Kamnitzer

arxiv:1009.0272 v1 · 2010-09-01 · 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{PRZRNHHLLHU3RS5WMGEPSR75NL}

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	2026-05-18T04:41:27.034514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c73169ceb59e9b8cbb66188f947fd6ac734fc0603481a30799d4d48cb6c5aa9

Aliases

arxiv: 1009.0272 · arxiv_version: 1009.0272v1 · doi: 10.48550/arxiv.1009.0272 · pith_short_12: PRZRNHHLLHU3 · pith_short_16: PRZRNHHLLHU3RS5W · pith_short_8: PRZRNHHL

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/PRZRNHHLLHU3RS5WMGEPSR75NL \
  | 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: 7c73169ceb59e9b8cbb66188f947fd6ac734fc0603481a30799d4d48cb6c5aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76094a14ef16167969bdd3d4bec3e29a7cc826166c6b18de998ac21ec4474d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-01T20:10:47Z",
    "title_canon_sha256": "53e21fa0abe58fc98bde6b5560cb969185f9bc68bb44a3c181521d842ea8d965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0272",
    "kind": "arxiv",
    "version": 1
  }
}