Pith Number

pith:Y3Z7CXOP

pith:2025:Y3Z7CXOP6ASHZVVXMGNHF4L2PS

not attested not anchored not stored refs pending

Idempotents, traces, and dimensions in Hecke categories

Ben Elias, Daniel Tubbenhauer, Liam Rogel

arxiv:2507.10061 v1 · 2025-07-14 · 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{Y3Z7CXOP6ASHZVVXMGNHF4L2PS}

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

Almost finitary birepresentation theory and applications to affine Soergel bimodules

Receipt and verification

First computed	2026-07-05T11:36:44.468446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f3f15dcff0247cd6b7619a72f17a7ca3f62436f4b5029305d894b23f98e5e7

Aliases

arxiv: 2507.10061 · arxiv_version: 2507.10061v1 · doi: 10.48550/arxiv.2507.10061 · pith_short_12: Y3Z7CXOP6ASH · pith_short_16: Y3Z7CXOP6ASHZVVX · pith_short_8: Y3Z7CXOP

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/Y3Z7CXOP6ASHZVVXMGNHF4L2PS \
  | 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: c6f3f15dcff0247cd6b7619a72f17a7ca3f62436f4b5029305d894b23f98e5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8a3c71d81971e16b359a3415750900c9979885665cd70f8796b52e11d63294",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-14T08:46:44Z",
    "title_canon_sha256": "12a771d57bc5401627699fa69a0068f1d307b51958e7e8913e8115447f1def7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10061",
    "kind": "arxiv",
    "version": 1
  }
}