Pith Number

pith:PXMVRETV

pith:2026:PXMVRETV4EUTSEMTMTRPYQ3V4H

not attested not anchored not stored refs pending

Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type

Yingjin Bi

arxiv:2606.05184 v1 · 2026-04-24 · 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{PXMVRETV4EUTSEMTMTRPYQ3V4H}

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	2026-06-05T00:13:48.051946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd9589275e12939119364e2fc4375e1e280fc978e10f4937e067d981aa620ca

Aliases

arxiv: 2606.05184 · arxiv_version: 2606.05184v1 · doi: 10.48550/arxiv.2606.05184 · pith_short_12: PXMVRETV4EUT · pith_short_16: PXMVRETV4EUTSEMT · pith_short_8: PXMVRETV

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/PXMVRETV4EUTSEMTMTRPYQ3V4H \
  | 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: 7dd9589275e12939119364e2fc4375e1e280fc978e10f4937e067d981aa620ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebb2d90ac36cfd4cd6177bc80c4d9d07d20d1b62bd90c7bdd5a7293db52fc1e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-04-24T02:57:01Z",
    "title_canon_sha256": "6b1cd7e5bf25179540d5eb95d07747f9994e3bcf22a838776af5c8f887cda7be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05184",
    "kind": "arxiv",
    "version": 1
  }
}