Pith Number

pith:XXCGTZ7Z

pith:2019:XXCGTZ7ZVJ4J62B3DSSXGSDUCM

not attested not anchored not stored refs pending

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations

Masato Kimura, Pu-Zhao Kow

arxiv:1909.00588 v4 · 2019-09-02 · 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{XXCGTZ7ZVJ4J62B3DSSXGSDUCM}

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	2026-07-05T02:54:12.500806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc469e7f9aa789f683b1ca573487413239f9d0eafe3c4ddaa27a58e01828d29

Aliases

arxiv: 1909.00588 · arxiv_version: 1909.00588v4 · doi: 10.48550/arxiv.1909.00588 · pith_short_12: XXCGTZ7ZVJ4J · pith_short_16: XXCGTZ7ZVJ4J62B3 · pith_short_8: XXCGTZ7Z

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/XXCGTZ7ZVJ4J62B3DSSXGSDUCM \
  | 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: bdc469e7f9aa789f683b1ca573487413239f9d0eafe3c4ddaa27a58e01828d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b764d11752ebe0434bf9ea8f4b71c83ca67d2e9e270f5645d6172041f8ca1de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-09-02T08:05:07Z",
    "title_canon_sha256": "235cdca38dacf3f52383a669684732ce3aa636b13ea2d75f2ca270840c2d358b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00588",
    "kind": "arxiv",
    "version": 4
  }
}