Pith Number

pith:ZMCG2ZKX

pith:2016:ZMCG2ZKXZKL3PATOKIWCMIFKAL

not attested not anchored not stored refs pending

Two-color Soergel calculus and simple transitive 2-representations

Daniel Tubbenhauer, Marco Mackaay

arxiv:1609.00962 v4 · 2016-09-04 · math.RT · math.CT · 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{ZMCG2ZKXZKL3PATOKIWCMIFKAL}

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.

Cited by

1 paper in Pith

Idempotents, traces, and dimensions in Hecke categories

Receipt and verification

First computed	2026-07-05T00:17:45.340646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb046d6557ca97b7826e522c2620aa02e0ea8e1f35aa992df23b24dace2c89d1

Aliases

arxiv: 1609.00962 · arxiv_version: 1609.00962v4 · doi: 10.48550/arxiv.1609.00962 · pith_short_12: ZMCG2ZKXZKL3 · pith_short_16: ZMCG2ZKXZKL3PATO · pith_short_8: ZMCG2ZKX

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/ZMCG2ZKXZKL3PATOKIWCMIFKAL \
  | 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: cb046d6557ca97b7826e522c2620aa02e0ea8e1f35aa992df23b24dace2c89d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c07f4efd2abe37f123988f4c3ed6675f032fbf2b07b6491d2f5686b620f95f",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-04T17:26:03Z",
    "title_canon_sha256": "03bd0c9ced4e7b787dfb27922fd3a0a217e5d5de98a22ff8d29555216709e9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00962",
    "kind": "arxiv",
    "version": 4
  }
}