Pith Number

pith:QVI7MAHA

pith:2012:QVI7MAHAF7WVKJJV44T3IF6H4D

not attested not anchored not stored refs pending

The Hodge theory of Soergel bimodules

Ben Elias, Geordie Williamson

arxiv:1212.0791 v2 · 2012-12-04 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVI7MAHAF7WVKJJV44T3IF6H4D}

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	2026-05-18T00:58:04.762776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8551f600e02fed552535e727b417c7e0ca085f980d31e6d3188fb55ac84ddc9e

Aliases

arxiv: 1212.0791 · arxiv_version: 1212.0791v2 · doi: 10.48550/arxiv.1212.0791 · pith_short_12: QVI7MAHAF7WV · pith_short_16: QVI7MAHAF7WVKJJV · pith_short_8: QVI7MAHA

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/QVI7MAHAF7WVKJJV44T3IF6H4D \
  | 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: 8551f600e02fed552535e727b417c7e0ca085f980d31e6d3188fb55ac84ddc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f1fc453fa1a8076e8ac8f873cf5fa0baa4a146aef6dce6990918315f4a80c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-04T17:13:52Z",
    "title_canon_sha256": "113be8fb63fdac29a6708562006a003aad700a6c179a27afad2d30029ab473dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0791",
    "kind": "arxiv",
    "version": 2
  }
}