Pith Number

pith:6ITJROVG

pith:2009:6ITJROVG7I4EVCIZ3X573264LZ

not attested not anchored not stored refs pending

Categorical geometric skew Howe duality

Anthony Licata, Joel Kamnitzer, Sabin Cautis

arxiv:0902.1795 v2 · 2009-02-11 · math.AG · 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{6ITJROVG7I4EVCIZ3X573264LZ}

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	2026-05-18T02:14:48.399534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22698baa6fa384a8919ddfbfdebdc5e51034980319f23f86bfedfb1b167b418

Aliases

arxiv: 0902.1795 · arxiv_version: 0902.1795v2 · doi: 10.48550/arxiv.0902.1795 · pith_short_12: 6ITJROVG7I4E · pith_short_16: 6ITJROVG7I4EVCIZ · pith_short_8: 6ITJROVG

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/6ITJROVG7I4EVCIZ3X573264LZ \
  | 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: f22698baa6fa384a8919ddfbfdebdc5e51034980319f23f86bfedfb1b167b418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c896042e609845614579bcb56bcf251b2efaa206e31cac307de1a3b84d35245",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-11T03:30:59Z",
    "title_canon_sha256": "201b62b1fb91730af62b90760aac4b87f6676063748f61b30ec48d8ab9196600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1795",
    "kind": "arxiv",
    "version": 2
  }
}