Pith Number

pith:G2WDRIWM

pith:2010:G2WDRIWMO46E4C5JD56GWJGXHE

not attested not anchored not stored refs pending

Singular Soergel bimodules

Geordie Williamson

arxiv:1010.1283 v3 · 2010-10-06 · math.RT · 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{G2WDRIWMO46E4C5JD56GWJGXHE}

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	2026-07-05T07:29:23.671980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ac38a2cc773c4e0ba91f7c6b24d73913fdfc9ef388380641e1d125e35a1765

Aliases

arxiv: 1010.1283 · arxiv_version: 1010.1283v3 · doi: 10.48550/arxiv.1010.1283 · pith_short_12: G2WDRIWMO46E · pith_short_16: G2WDRIWMO46E4C5J · pith_short_8: G2WDRIWM

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/G2WDRIWMO46E4C5JD56GWJGXHE \
  | 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: 36ac38a2cc773c4e0ba91f7c6b24d73913fdfc9ef388380641e1d125e35a1765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077f740a3260f7fc72abcfb9b4428929ed4c7b2398ede2ccccdf3ce8f89d117a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-06T21:16:04Z",
    "title_canon_sha256": "e96cb7e063e663d536bdd252ec740f103ed8e97b63b4078a8480b0914046642d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1283",
    "kind": "arxiv",
    "version": 3
  }
}