Pith Number

pith:MY3XUX2B

pith:2025:MY3XUX2BZSKO2UR3FRLISXJ2UU

not attested not anchored not stored refs pending

Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with $n>2s$

Minbo Yang, Qikai Lu, Shunneng Zhao

arxiv:2503.06636 v1 · 2025-03-09 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MY3XUX2BZSKO2UR3FRLISXJ2UU}

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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

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group

Receipt and verification

First computed	2026-07-05T10:27:38.876914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66377a5f41cc94ed523b2c56895d3aa526a62faafbbad9799586e7c0783087d1

Aliases

arxiv: 2503.06636 · arxiv_version: 2503.06636v1 · doi: 10.48550/arxiv.2503.06636 · pith_short_12: MY3XUX2BZSKO · pith_short_16: MY3XUX2BZSKO2UR3 · pith_short_8: MY3XUX2B

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/MY3XUX2BZSKO2UR3FRLISXJ2UU \
  | 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: 66377a5f41cc94ed523b2c56895d3aa526a62faafbbad9799586e7c0783087d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c718725a794bec35bb9ce041eeeeab0cfaeded3db59610fee67781cc065358cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-09T14:31:17Z",
    "title_canon_sha256": "2e630733aabd9cc8040e03489179e80ec1875923f8cef517cbc7eef3aff157af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06636",
    "kind": "arxiv",
    "version": 1
  }
}