Pith Number

pith:CVIWIAMY

pith:2025:CVIWIAMYDKLWGDSCMB26T3UXSL

not attested not anchored not stored refs pending

Stability estimates for critical points of a nonlocal Sobolev-type inequality

Minbo Yang, Shunneng Zhao

arxiv:2501.01927 v2 · 2025-01-03 · 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{CVIWIAMYDKLWGDSCMB26T3UXSL}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:09:51.064517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15516401981a97630e426075e9ee9792e9663cb6b22b091579313138f72cac42

Aliases

arxiv: 2501.01927 · arxiv_version: 2501.01927v2 · doi: 10.48550/arxiv.2501.01927 · pith_short_12: CVIWIAMYDKLW · pith_short_16: CVIWIAMYDKLWGDSC · pith_short_8: CVIWIAMY

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/CVIWIAMYDKLWGDSCMB26T3UXSL \
  | 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: 15516401981a97630e426075e9ee9792e9663cb6b22b091579313138f72cac42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413d100e800fe3f1797ca093bc34e06c5e0186559071d5adddea62baff19c7b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-03T17:57:34Z",
    "title_canon_sha256": "33da6c5481c779579d3157bda58de4864076f381cee6edddea27f5b6f49bc8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01927",
    "kind": "arxiv",
    "version": 2
  }
}