Pith Number

pith:VLWOXK7H

pith:2010:VLWOXK7H2GXM7FRM7ZKLDFUDGD

not attested not anchored not stored refs pending

Quiver varieties and adjoint crystals of level $\ell$ for type $A_n^{(1)}$

Euiyong Park

arxiv:1011.5759 v3 · 2010-11-26 · 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{VLWOXK7H2GXM7FRM7ZKLDFUDGD}

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	2026-05-18T03:46:45.700334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaecebabe7d1aecf962cfe54b1968330f3d83b5a07ce0069048df309af6d1caa

Aliases

arxiv: 1011.5759 · arxiv_version: 1011.5759v3 · doi: 10.48550/arxiv.1011.5759 · pith_short_12: VLWOXK7H2GXM · pith_short_16: VLWOXK7H2GXM7FRM · pith_short_8: VLWOXK7H

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/VLWOXK7H2GXM7FRM7ZKLDFUDGD \
  | 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: aaecebabe7d1aecf962cfe54b1968330f3d83b5a07ce0069048df309af6d1caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b356887cb23cc199b072f2e29e73e76e91e8421f5ed6cae4936be4253fb64b13",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-26T11:02:41Z",
    "title_canon_sha256": "a7501f8ed1641610e663be37c1dbc355bea352bccc0be9a5fa6a0b1c065f0d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5759",
    "kind": "arxiv",
    "version": 3
  }
}