Pith Number

pith:ERFF2OZQ

pith:2025:ERFF2OZQXIULRRJC3N7HPUI4MP

not attested not anchored not stored refs pending

$p$-Poincar\'e inequalities and cutoff Sobolev inequalities on metric measure spaces

Meng Yang

arxiv:2504.09503 v4 · 2025-04-13 · math.FA · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERFF2OZQXIULRRJC3N7HPUI4MP}

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

Cartesian products of Sierpi\'nski carpets do not attain their conformal dimension

Receipt and verification

First computed	2026-06-05T01:15:13.239481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244a5d3b30ba28b8c522db7e77d11c63c407a7387aabf70384d8a1d6d8ed1ff6

Aliases

arxiv: 2504.09503 · arxiv_version: 2504.09503v4 · doi: 10.48550/arxiv.2504.09503 · pith_short_12: ERFF2OZQXIUL · pith_short_16: ERFF2OZQXIULRRJC · pith_short_8: ERFF2OZQ

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/ERFF2OZQXIULRRJC3N7HPUI4MP \
  | 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: 244a5d3b30ba28b8c522db7e77d11c63c407a7387aabf70384d8a1d6d8ed1ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf4e31245c7c0af887c77c33f2939774cf334d27649e7f94ba790fdc72920c64",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-04-13T10:00:51Z",
    "title_canon_sha256": "52737fbdd0b8b653b076ed1eae280dd25bb401630d42714b1a66ee71ffbd04d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09503",
    "kind": "arxiv",
    "version": 4
  }
}