Pith Number

pith:27UBUQC7

pith:2026:27UBUQC73PVZHERJDKLTAAYQJ2

not attested not anchored not stored refs pending

Stable systolic inequalities via mod n covering

Aditya Kumar

A refinement of the cowaist inequality for Hermitian line bundles yields sharp stable two-systolic inequalities for odd-dimensional complex projective spaces.

arxiv:2604.26891 v2 · 2026-04-29 · math.DG · math.MG

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Claims

C1strongest claim

We prove a refinement of Gromov's cowaist inequality in the case of Hermitian line bundles. Combined with the cowaist-systole estimates in recent work of Stryker, this gives sharp stable two-systolic inequalities for odd-dimensional complex projective spaces.

C2weakest assumption

The refinement of the cowaist inequality is valid specifically for Hermitian line bundles, and the combination with Stryker's cowaist-systole estimates applies directly without further restrictions on the manifolds or bundles.

C3one line summary

A refinement of Gromov's cowaist inequality for Hermitian line bundles produces sharp stable two-systolic inequalities for odd-dimensional CP^n and improves the stable two-systole upper bound for n-fold S^2 products from O(n^4 log n) to O(n^3 log n).

Cited by

1 paper in Pith

Sharp systolic inequalities for K\"ahler manifolds

Receipt and verification

First computed	2026-05-20T00:05:45.632920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e81a405fdbeb9392291a973003104e827b303012934fec07f3866e243396c7

Aliases

arxiv: 2604.26891 · arxiv_version: 2604.26891v2 · doi: 10.48550/arxiv.2604.26891 · pith_short_12: 27UBUQC73PVZ · pith_short_16: 27UBUQC73PVZHERJ · pith_short_8: 27UBUQC7

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/27UBUQC73PVZHERJDKLTAAYQJ2 \
  | 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: d7e81a405fdbeb9392291a973003104e827b303012934fec07f3866e243396c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d362d15c2422d04e28d364ab5b5bb14597f35cb651823a83af2487ebd98d12",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-04-29T17:00:59Z",
    "title_canon_sha256": "51641cde8e4ec757db07c835dcf916a099344e280aa24459a01113b5a343491d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26891",
    "kind": "arxiv",
    "version": 2
  }
}