Pith Number

pith:K2G6KVOZ

pith:2014:K2G6KVOZUEX2MCHRN3MQFBGVIV

not attested not anchored not stored refs pending

Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability

El Maati Ouhabaz (IMB), Peng Chen (IMB)

arxiv:1406.4025 v1 · 2014-06-16 · 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{K2G6KVOZUEX2MCHRN3MQFBGVIV}

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	2026-05-18T02:49:39.344372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568de555d9a12fa608f16ed90284d54558e874df6ec76a2ea916f7a64fc8279a

Aliases

arxiv: 1406.4025 · arxiv_version: 1406.4025v1 · doi: 10.48550/arxiv.1406.4025 · pith_short_12: K2G6KVOZUEX2 · pith_short_16: K2G6KVOZUEX2MCHR · pith_short_8: K2G6KVOZ

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/K2G6KVOZUEX2MCHRN3MQFBGVIV \
  | 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: 568de555d9a12fa608f16ed90284d54558e874df6ec76a2ea916f7a64fc8279a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e168bb0a266d08bd31f7933e439857d74c9c7d99021ce0ef921e67b31500a6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-16T14:14:41Z",
    "title_canon_sha256": "443bfa5fba16bac3f7bc4811c90a907eb5cf9dcbb23b4dfe2004d403cc3241c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4025",
    "kind": "arxiv",
    "version": 1
  }
}