Pith. sign in
Pith Number

pith:X4RXRUIA

pith:2024:X4RXRUIACLTFZQMIX2J3PAMZER
not attested not anchored not stored refs pending

Willmore-type inequalities for closed hypersurfaces in weighted manifolds

Guoqiang Wu, Jia-Yong Wu

arxiv:2404.16286 v5 · 2024-04-25 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X4RXRUIACLTFZQMIX2J3PAMZER}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T12:03:42.442192Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf2378d10012e65cc188be93b78199245f3f3dc2dc59507cb4c924ea9c070dcf

Aliases

arxiv: 2404.16286 · arxiv_version: 2404.16286v5 · doi: 10.48550/arxiv.2404.16286 · pith_short_12: X4RXRUIACLTF · pith_short_16: X4RXRUIACLTFZQMI · pith_short_8: X4RXRUIA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X4RXRUIACLTFZQMIX2J3PAMZER \
  | 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: bf2378d10012e65cc188be93b78199245f3f3dc2dc59507cb4c924ea9c070dcf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "73263b62e98c5d9ca1229198132c9a0c70a2a15123d5be5d79ad0fccf4ce1e52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-04-25T02:13:31Z",
    "title_canon_sha256": "fafb383411cc6a37841182aedf0afa30439f1f1ab59167afbf036c52e76f961e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16286",
    "kind": "arxiv",
    "version": 5
  }
}