Pith Number

pith:FHM2KAOQ

pith:2024:FHM2KAOQOET5LPKBQVVQQJHLLB

not attested not anchored not stored refs pending

Gradient stability of Caffarelli-Kohn-Nirenberg inequality involving weighted p-Laplace

Shengbing Deng, Xingliang Tian

arxiv:2401.04129 v1 · 2024-01-05 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHM2KAOQOET5LPKBQVVQQJHLLB}

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	2026-07-05T08:21:29.419755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d9a501d07127d5bd41856b0824eb587c38229a7af1bd3edaa8b9497e106f8c

Aliases

arxiv: 2401.04129 · arxiv_version: 2401.04129v1 · doi: 10.48550/arxiv.2401.04129 · pith_short_12: FHM2KAOQOET5 · pith_short_16: FHM2KAOQOET5LPKB · pith_short_8: FHM2KAOQ

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/FHM2KAOQOET5LPKBQVVQQJHLLB \
  | 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: 29d9a501d07127d5bd41856b0824eb587c38229a7af1bd3edaa8b9497e106f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96dc7c92e701d6f59745ad66ea480db8da9d59a35425a9e33c7eada62ee022ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-01-05T14:52:22Z",
    "title_canon_sha256": "420eecdc0e13d7bfda8453f877bf47653ef9ea6c49d3569ca8540df193305ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04129",
    "kind": "arxiv",
    "version": 1
  }
}