Pith Number

pith:JBI3ZAST

pith:2009:JBI3ZASTZEYWOMPWPTB5KW5HCF

not attested not anchored not stored refs pending

Lectures on Nakajima's Quiver Varieties

Victor Ginzburg

arxiv:0905.0686 v2 · 2009-05-05 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBI3ZASTZEYWOMPWPTB5KW5HCF}

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	2026-07-04T15:42:11.692652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4851bc8253c9316731f67cc3d55ba7116e7a4b1a37801f831ab5ed0c2fab3611

Aliases

arxiv: 0905.0686 · arxiv_version: 0905.0686v2 · doi: 10.48550/arxiv.0905.0686 · pith_short_12: JBI3ZASTZEYW · pith_short_16: JBI3ZASTZEYWOMPW · pith_short_8: JBI3ZAST

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/JBI3ZASTZEYWOMPWPTB5KW5HCF \
  | 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: 4851bc8253c9316731f67cc3d55ba7116e7a4b1a37801f831ab5ed0c2fab3611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88387e50d70cdf147b3098f63fd23098beb48881a955a6897b2eaf0b72068d75",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-05-05T19:58:59Z",
    "title_canon_sha256": "adaa077da77dccbfbffb53b30aebeeeb64a2773b8f347ef04a7b6b5ec45560c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0686",
    "kind": "arxiv",
    "version": 2
  }
}