Pith Number

pith:GO3RGMQL

pith:2026:GO3RGMQLDNAOOOTJMQ5VSRURJT

not attested not anchored not stored refs pending

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Amir Zhangirbayev, Nurgissa Yessirkegenov

arxiv:2602.05968 v4 · 2026-02-05 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GO3RGMQLDNAOOOTJMQ5VSRURJT}

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	2026-07-16T01:22:34.339096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b713320b1b40e73a69643b5946914cd86c598558049bfc4feb16fbf3530df2

Aliases

arxiv: 2602.05968 · arxiv_version: 2602.05968v4 · doi: 10.48550/arxiv.2602.05968 · pith_short_12: GO3RGMQLDNAO · pith_short_16: GO3RGMQLDNAOOOTJ · pith_short_8: GO3RGMQL

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/GO3RGMQLDNAOOOTJMQ5VSRURJT \
  | 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: 33b713320b1b40e73a69643b5946914cd86c598558049bfc4feb16fbf3530df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49078234801b37ffd83ed33b0a0bf0d23a2dfbe0e4633d5e94d9895765ce902",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-05T18:22:02Z",
    "title_canon_sha256": "d63c1f4439e6b4c3b5dda034cd53be9af688424fc52bac14304ea25eddae3cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05968",
    "kind": "arxiv",
    "version": 4
  }
}