Pith Number

pith:UXPQRQZU

pith:2026:UXPQRQZUKKKGCINUBNNQCR4FFG

not attested not anchored not stored refs pending

On Generalized Quasi-Einstein Manifolds

Alcides de Carvalho, Anderson Lima, W. O. Costa-Filho

Under suitable integral assumptions, the potential vector field in generalized m-quasi-Einstein manifolds is Killing.

arxiv:2605.05473 v2 · 2026-05-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXPQRQZUKKKGCINUBNNQCR4FFG}

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.

Claims

C1strongest claim

Under suitable integral assumptions, the potential vector field is Killing, extending earlier results of Sharma to the generalized setting. Moreover, we show that divergence-free vector fields are Killing in this context, and we derive consequences under sign conditions on m and λ, including triviality results. We also revisit a recent theorem of Ghosh, discuss a subtle issue in the argument, and provide a new formulation and proof.

C2weakest assumption

The existence of suitable integral assumptions on the potential vector field X that are strong enough to force the Killing property; these assumptions are not specified in detail in the abstract and their necessity is not compared against weaker alternatives.

C3one line summary

Generalized m-quasi-Einstein manifolds with integral conditions on the potential vector field have that field Killing, yielding triviality results under sign conditions on m and λ plus a corrected formulation of Ghosh's theorem.

Receipt and verification

First computed	2026-06-03T01:05:14.495571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5df08c33452946121b40b5b01478529b0a8e9ebbb63b4c3b6d8805d1f40f615

Aliases

arxiv: 2605.05473 · arxiv_version: 2605.05473v2 · doi: 10.48550/arxiv.2605.05473 · pith_short_12: UXPQRQZUKKKG · pith_short_16: UXPQRQZUKKKGCINU · pith_short_8: UXPQRQZU

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/UXPQRQZUKKKGCINUBNNQCR4FFG \
  | 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: a5df08c33452946121b40b5b01478529b0a8e9ebbb63b4c3b6d8805d1f40f615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26c2528a95746096d7519f4ea5cd74ef02742521210d430b167644e2ae911b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-06T21:51:18Z",
    "title_canon_sha256": "81d96559661c5e579b9b5321d70a66a59e038dceac669baf339d2961d7d2ca69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05473",
    "kind": "arxiv",
    "version": 2
  }
}