Pith Number

pith:33RPZXTK

pith:2011:33RPZXTK4WVQHNCC6A2IBRTHQ6

not attested not anchored not stored refs pending

Coherent Sheaves on Quiver Varieties and Categorification

Anthony Licata, Joel Kamnitzer, Sabin Cautis

arxiv:1104.0352 v1 · 2011-04-03 · math.AG · 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{33RPZXTK4WVQHNCC6A2IBRTHQ6}

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	2026-05-18T04:25:04.176426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee2fcde6ae5ab03b442f03480c6678793f614c9a475d396c88a7ef02854c037

Aliases

arxiv: 1104.0352 · arxiv_version: 1104.0352v1 · doi: 10.48550/arxiv.1104.0352 · pith_short_12: 33RPZXTK4WVQ · pith_short_16: 33RPZXTK4WVQHNCC · pith_short_8: 33RPZXTK

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/33RPZXTK4WVQHNCC6A2IBRTHQ6 \
  | 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: dee2fcde6ae5ab03b442f03480c6678793f614c9a475d396c88a7ef02854c037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34cb86e658fe04ca800f153f8b6704bde17207439e8f474156339f9b5decca4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-03T04:33:33Z",
    "title_canon_sha256": "2840275ecd86e74e7dcb49028b74b797899e7122053c107effd67e57ce3a1e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0352",
    "kind": "arxiv",
    "version": 1
  }
}