Pith Number

pith:WXFOMTHN

pith:2025:WXFOMTHN6ZQSJLUOQASTMJ7S7E

not attested not anchored not stored refs pending

A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds

Jihye Lee

arxiv:2508.20298 v1 · 2025-08-27 · 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{WXFOMTHN6ZQSJLUOQASTMJ7S7E}

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.

Receipt and verification

First computed	2026-07-05T12:00:33.852749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cae64cedf66124ae8e80253627f2f91651852a1ec36e1f244df608d385c595

Aliases

arxiv: 2508.20298 · arxiv_version: 2508.20298v1 · doi: 10.48550/arxiv.2508.20298 · pith_short_12: WXFOMTHN6ZQS · pith_short_16: WXFOMTHN6ZQSJLUO · pith_short_8: WXFOMTHN

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/WXFOMTHN6ZQSJLUOQASTMJ7S7E \
  | 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: b5cae64cedf66124ae8e80253627f2f91651852a1ec36e1f244df608d385c595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870e45f2e91289fff37695a5bdecd5c4ebfe36aba324d85ffa8336a7d5645573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-27T22:10:21Z",
    "title_canon_sha256": "f0a6700fcef92b8a2ab12e18fa3516f6536edecb7c25460527a928d466347d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20298",
    "kind": "arxiv",
    "version": 1
  }
}