Pith Number

pith:YVPFAFQT

pith:2024:YVPFAFQT4OT4Z5QFRREWHUKXLG

not attested not anchored not stored refs pending

Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

Jiabin Yin, Xiaoshang Jin

arxiv:2402.02465 v1 · 2024-02-04 · 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{YVPFAFQT4OT4Z5QFRREWHUKXLG}

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	2026-07-05T07:41:14.623085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55e501613e3a7ccf6058c4963d15759b582d7846030a4604df5f9b971614a4f

Aliases

arxiv: 2402.02465 · arxiv_version: 2402.02465v1 · doi: 10.48550/arxiv.2402.02465 · pith_short_12: YVPFAFQT4OT4 · pith_short_16: YVPFAFQT4OT4Z5QF · pith_short_8: YVPFAFQT

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/YVPFAFQT4OT4Z5QFRREWHUKXLG \
  | 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: c55e501613e3a7ccf6058c4963d15759b582d7846030a4604df5f9b971614a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955cb36bc9f4174b571cbf1ffadb086891b22d1ff65f42840fa6b0d9338166fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-02-04T12:37:11Z",
    "title_canon_sha256": "9ee5befb2d348706ee91601189ff0b3b1bcbc08cd98277fae9f0d8c2e6475557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.02465",
    "kind": "arxiv",
    "version": 1
  }
}