Pith Number

pith:BW6B7HAP

pith:2026:BW6B7HAPKW3DNV575AFJK3GDLW

not attested not anchored not stored refs pending

A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction

Baohua Fu, Jie Liu

The affine closure of the cotangent bundle to the minimal nilpotent orbit in type A equals a C* Hamiltonian reduction of the minimal nilpotent orbit closure in type D.

arxiv:2605.03421 v2 · 2026-05-05 · math.RT · math.AG

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\usepackage{pith}
\pithnumber{BW6B7HAPKW3DNV575AFJK3GDLW}

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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.

Claims

C1strongest claim

the affine closure of the cotangent bundle T*O_n^aff is isomorphic to a C*-Hamiltonian reduction of the minimal nilpotent orbit closure O_n in so_{2n+2}

C2weakest assumption

That the chosen C* action on the orbit closure admits a well-defined moment map whose Hamiltonian reduction yields an isomorphism to the affine cotangent bundle closure, and that the subsequent geometric analysis correctly detects the non-existence of a symplectic resolution.

C3one line summary

The affine closure of the cotangent bundle of the minimal nilpotent orbit O_n in sl_n is isomorphic to a C*-Hamiltonian reduction of the minimal nilpotent orbit closure in so_{2n+2}.

Receipt and verification

First computed	2026-05-20T01:06:09.726922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbc1f9c0f55b636d7bfe80a956cc35db6e10d68368ae79c052d0e4d7e81a6fb

Aliases

arxiv: 2605.03421 · arxiv_version: 2605.03421v2 · doi: 10.48550/arxiv.2605.03421 · pith_short_12: BW6B7HAPKW3D · pith_short_16: BW6B7HAPKW3DNV57 · pith_short_8: BW6B7HAP

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/BW6B7HAPKW3DNV575AFJK3GDLW \
  | 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: 0dbc1f9c0f55b636d7bfe80a956cc35db6e10d68368ae79c052d0e4d7e81a6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97e69a05b9f59fa86ec4ba8871ee5686650750f814a2b3e9f9aa40cb895a5ac",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-05T06:52:27Z",
    "title_canon_sha256": "11b2da907c20e897d5989cb7c0d68b7bf8e74a60976d30a20c2bdc26df54bd40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03421",
    "kind": "arxiv",
    "version": 2
  }
}