Pith Number

pith:RQGGXMLR

pith:2013:RQGGXMLRQL73AT2NXPDGQQ7PQL

not attested not anchored not stored refs pending

On higher order extensions for the fractional Laplacian

Ray Yang

arxiv:1302.4413 v1 · 2013-02-18 · 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{RQGGXMLRQL73AT2NXPDGQQ7PQL}

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

Liouville-type theorems for the stationary fractional Navier-Stokes equations in $\mathbb{R}^n$

Receipt and verification

First computed	2026-05-18T03:33:14.631173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0c6bb17182ffb04f4dbbc66843ef82d0f2511ff87c514109345779448e6650

Aliases

arxiv: 1302.4413 · arxiv_version: 1302.4413v1 · doi: 10.48550/arxiv.1302.4413 · pith_short_12: RQGGXMLRQL73 · pith_short_16: RQGGXMLRQL73AT2N · pith_short_8: RQGGXMLR

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/RQGGXMLRQL73AT2NXPDGQQ7PQL \
  | 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: 8c0c6bb17182ffb04f4dbbc66843ef82d0f2511ff87c514109345779448e6650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd52c388b0b3a7503ef89119afe3746aff98b7a55aa03fc30aa22fb66c020095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-18T20:31:17Z",
    "title_canon_sha256": "69dea5fdf5e20963321a1e1bec3c6da08ec234d7738c0ade37abcc55eaf3a465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4413",
    "kind": "arxiv",
    "version": 1
  }
}