Pith Number

pith:F4SQNJRP

pith:2026:F4SQNJRPNP4OOKESBQW2SUPSIZ

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Minimal dimension equivariant embeddings of real and complex flag manifolds into Euclidean spaces

Hang Yin, Zhongzi Wang

The minimal dimension for equivariant embeddings of real and complex flag manifolds into Euclidean space is achieved by the isospectral model.

arxiv:2605.17337 v1 · 2026-05-17 · math.DG

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\usepackage{pith}
\pithnumber{F4SQNJRPNP4OOKESBQW2SUPSIZ}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

We determine the minimal equivariant embedding dimension of orthogonal groups acting on real flag manifolds and unitary groups acting on complex flag manifolds. The minimal embedding dimension is achieved at isospectral model.

C2weakest assumption

The isospectral model is assumed to realize the absolute minimal dimension among all possible equivariant embeddings; if a lower-dimensional equivariant embedding exists outside this construction, the claimed minimality fails.

C3one line summary

Minimal equivariant embedding dimensions for real and complex flag manifolds are computed and realized via isospectral models.

References

14 extracted · 14 resolved · 0 Pith anchors

[1] Lim, Lek-Heng and Ye, ke , title=

[2] Wang, Rongbial Thomas and Lim, Lek-Heng and Ye, ke , title =

[3] Hirsch , title =

[4] Lectures on the orbit method , year =

[5] 2022 , author = 2022

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:52.935368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2506a62f6bf8e728920c2da951f24673a85a29b8ba517666b0ce11004a9bb2

Aliases

arxiv: 2605.17337 · arxiv_version: 2605.17337v1 · doi: 10.48550/arxiv.2605.17337 · pith_short_12: F4SQNJRPNP4O · pith_short_16: F4SQNJRPNP4OOKES · pith_short_8: F4SQNJRP

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4SQNJRPNP4OOKESBQW2SUPSIZ \
  | 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: 2f2506a62f6bf8e728920c2da951f24673a85a29b8ba517666b0ce11004a9bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe22a66be31e9e6ff3fa906bedb7fd079cee8cdd843608791c1916af45fb7657",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-17T09:10:31Z",
    "title_canon_sha256": "dbd909bdf53a0b923efa86f3c6658643b455ba34f2729a96921291da94c332c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17337",
    "kind": "arxiv",
    "version": 1
  }
}