Pith Number

pith:C52AZ7UX

pith:2010:C52AZ7UXF6YUXRRHPZ7VSSOQS7

not attested not anchored not stored refs pending

Categorification of the Jones-Wenzl Projectors

Benjamin Cooper, Vyacheslav Krushkal

arxiv:1005.5117 v3 · 2010-05-27 · math.GT · 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{C52AZ7UXF6YUXRRHPZ7VSSOQS7}

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	2026-05-18T04:00:27.130663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17740cfe972fb14bc6277e7f5949d097ccc84dcae03b12be0d6dcc38cb8e96f8

Aliases

arxiv: 1005.5117 · arxiv_version: 1005.5117v3 · doi: 10.48550/arxiv.1005.5117 · pith_short_12: C52AZ7UXF6YU · pith_short_16: C52AZ7UXF6YUXRRH · pith_short_8: C52AZ7UX

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/C52AZ7UXF6YUXRRHPZ7VSSOQS7 \
  | 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: 17740cfe972fb14bc6277e7f5949d097ccc84dcae03b12be0d6dcc38cb8e96f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "554ccb013bca7f84d9300816309cdd5dfa4ecefe0add96650b823d1488c9b446",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-27T16:49:32Z",
    "title_canon_sha256": "1a8be2be0495a75f1bf0d43d013426fb29dc8bfe731f93a3ed19b92b960f5836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5117",
    "kind": "arxiv",
    "version": 3
  }
}