Pith Number

pith:DUDVJVTI

pith:2024:DUDVJVTIZSGNXCHKZAST2KXDW2

not attested not anchored not stored refs pending

Hardy inequalities and nonlocal capacity

Julia Lenczewska, Tomasz Grzywny

arxiv:2410.10001 v1 · 2024-10-13 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUDVJVTIZSGNXCHKZAST2KXDW2}

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

The Dirichlet Problem For the Logarithmic p-Laplacian

Receipt and verification

First computed	2026-07-05T09:20:09.313711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0754d668cc8cdb88eac8253d2ae3b6a3036d0a84d5400694abfa80e9040a5f

Aliases

arxiv: 2410.10001 · arxiv_version: 2410.10001v1 · doi: 10.48550/arxiv.2410.10001 · pith_short_12: DUDVJVTIZSGN · pith_short_16: DUDVJVTIZSGNXCHK · pith_short_8: DUDVJVTI

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/DUDVJVTIZSGNXCHKZAST2KXDW2 \
  | 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: 1d0754d668cc8cdb88eac8253d2ae3b6a3036d0a84d5400694abfa80e9040a5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce3441a38616caf2937cd7f26da179c440ce29a24ca990592f072d3f066b7cc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-13T20:47:19Z",
    "title_canon_sha256": "0a144189ff088b7649d8c6c9630574afb1ecfb2ce4b25d0184c08cf1ddc02f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.10001",
    "kind": "arxiv",
    "version": 1
  }
}