Pith Number

pith:WVZUKZES

pith:2024:WVZUKZESZYPIP6TNL42W7T7Z2C

not attested not anchored not stored refs pending

Boundary fractional Hardy's inequality in dimension one: The critical case

Adimurthi, Prosenjit Roy, Purbita Jana

arxiv:2407.12098 v1 · 2024-07-16 · 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{WVZUKZESZYPIP6TNL42W7T7Z2C}

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	2026-07-05T08:45:00.106255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b573456492ce1e87fa6d5f356fcff9d09f109c81bf287fe1a7d0cc9554b5bbfd

Aliases

arxiv: 2407.12098 · arxiv_version: 2407.12098v1 · doi: 10.48550/arxiv.2407.12098 · pith_short_12: WVZUKZESZYPI · pith_short_16: WVZUKZESZYPIP6TN · pith_short_8: WVZUKZES

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/WVZUKZESZYPIP6TNL42W7T7Z2C \
  | 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: b573456492ce1e87fa6d5f356fcff9d09f109c81bf287fe1a7d0cc9554b5bbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3b6b6b9c82b15620b7819ed3991325a4a8c518a527cde3ccf0379fbe2982f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-16T18:07:06Z",
    "title_canon_sha256": "8e14bdeed41e21a4cd80d88b811cbcc252a5b933436b5fb7362bd9eaefdf70a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.12098",
    "kind": "arxiv",
    "version": 1
  }
}