Pith Number

pith:MUGSDN23

pith:2025:MUGSDN23ZZOW2N7ID7UVMHXRS6

not attested not anchored not stored refs pending

Upper cluster structure on Kac--Moody Richardson varieties

Huanchen Bao, Jeff York Ye

arxiv:2506.10382 v2 · 2025-06-12 · math.RT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUGSDN23ZZOW2N7ID7UVMHXRS6}

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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

2 papers in Pith

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

Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts

Receipt and verification

First computed	2026-07-05T11:50:37.613956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650d21b75bce5d6d37e81fe9561ef197a0ae4b61fea511ba37a30e092bf6a522

Aliases

arxiv: 2506.10382 · arxiv_version: 2506.10382v2 · doi: 10.48550/arxiv.2506.10382 · pith_short_12: MUGSDN23ZZOW · pith_short_16: MUGSDN23ZZOW2N7I · pith_short_8: MUGSDN23

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/MUGSDN23ZZOW2N7ID7UVMHXRS6 \
  | 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: 650d21b75bce5d6d37e81fe9561ef197a0ae4b61fea511ba37a30e092bf6a522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d9e433deca39defb996f652d01ab192ba2fb2ec5695b29c70e2c0f4c820659",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-12T06:18:57Z",
    "title_canon_sha256": "d2cf15db3c9e4cff9383fa421b1f8b373c35a8ce6043e8f70107371439748c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10382",
    "kind": "arxiv",
    "version": 2
  }
}