Pith Number

pith:VTQML32Z

pith:2025:VTQML32ZHM6A6TYGIECYTRLUF6

not attested not anchored not stored refs pending

Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly $D^{1,p}$-critical quasi-linear nonlocal elliptic equations with Hardy potential

Daomin Cao, Wei Dai, Yafei Li

arxiv:2502.07816 v1 · 2025-02-09 · 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{VTQML32ZHM6A6TYGIECYTRLUF6}

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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

Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities

Receipt and verification

First computed	2026-07-05T10:13:10.489817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace0c5ef593b3c0f4f06410589c5742f8412fdc3a2c83b65f332f20e7a3708bc

Aliases

arxiv: 2502.07816 · arxiv_version: 2502.07816v1 · doi: 10.48550/arxiv.2502.07816 · pith_short_12: VTQML32ZHM6A · pith_short_16: VTQML32ZHM6A6TYG · pith_short_8: VTQML32Z

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/VTQML32ZHM6A6TYGIECYTRLUF6 \
  | 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: ace0c5ef593b3c0f4f06410589c5742f8412fdc3a2c83b65f332f20e7a3708bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1713e25fe67010526e7be782f1d34e64bfea45b59d566c14763c285f8059708c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-09T10:20:53Z",
    "title_canon_sha256": "f09be5c834a03653f16fb67882822cf70513e3f509ae86651216fdf0a624f083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07816",
    "kind": "arxiv",
    "version": 1
  }
}