Pith Number

pith:NIG6WBH7

pith:2025:NIG6WBH7LGJJFIIWO55ODI43Z2

not attested not anchored not stored refs pending

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

Han Luo, Lingen Lu, Tian Chong

arxiv:2503.19254 v1 · 2025-03-25 · 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{NIG6WBH7LGJJFIIWO55ODI43Z2}

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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

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature

Receipt and verification

First computed	2026-07-05T10:38:51.789369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a0deb04ff599292a116777ae1a39bce82869b9a43336a52d248f1adfd9729cc

Aliases

arxiv: 2503.19254 · arxiv_version: 2503.19254v1 · doi: 10.48550/arxiv.2503.19254 · pith_short_12: NIG6WBH7LGJJ · pith_short_16: NIG6WBH7LGJJFIIW · pith_short_8: NIG6WBH7

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/NIG6WBH7LGJJFIIWO55ODI43Z2 \
  | 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: 6a0deb04ff599292a116777ae1a39bce82869b9a43336a52d248f1adfd9729cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff081f695531892eb50077be3889c1100cf92770a14c01aafcc7342c672990a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-03-25T01:28:28Z",
    "title_canon_sha256": "c86584b5eeefa9876f22b2590ba0940d92e49e22feea107e0221003d67687abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19254",
    "kind": "arxiv",
    "version": 1
  }
}