Pith Number

pith:ON2VULP2

pith:2025:ON2VULP2T4CA4W5ZWU6B2YM4UT

not attested not anchored not stored refs pending

New Heintze-Karcher type inequalities in sub-static warped product manifolds

Botong Xu, Haizhong Li, Yong Wei

arxiv:2504.15109 v1 · 2025-04-21 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ON2VULP2T4CA4W5ZWU6B2YM4UT}

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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

1 paper in Pith

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds

Receipt and verification

First computed	2026-07-05T10:51:56.419273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73755a2dfa9f040e5bb9b53c1d619ca4d33357a7b95da104cba7452607110807

Aliases

arxiv: 2504.15109 · arxiv_version: 2504.15109v1 · doi: 10.48550/arxiv.2504.15109 · pith_short_12: ON2VULP2T4CA · pith_short_16: ON2VULP2T4CA4W5Z · pith_short_8: ON2VULP2

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/ON2VULP2T4CA4W5ZWU6B2YM4UT \
  | 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: 73755a2dfa9f040e5bb9b53c1d619ca4d33357a7b95da104cba7452607110807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e930ec80b2e7ef3463197a0f714b31862de60947719088548843387f4138b6c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-21T14:02:09Z",
    "title_canon_sha256": "14ad7da3dc708b862f3d2adf40dc3118b796f8a353bbeafdb2b7bcb63fc8ec6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15109",
    "kind": "arxiv",
    "version": 1
  }
}