Pith Number

pith:RG6XFWJA

pith:2017:RG6XFWJAFI2R7LC7HOUZZLTXDN

not attested not anchored not stored refs pending

Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions

Angel Kumchev, Brian Cook, Kevin Hughes, Theresa C. Anderson

arxiv:1707.08667 v2 · 2017-07-26 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RG6XFWJAFI2R7LC7HOUZZLTXDN}

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	2026-05-18T00:14:41.092424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89bd72d9202a351fac5f3ba99cae771b4afe2303f9f87702e93ce507fce9cce6

Aliases

arxiv: 1707.08667 · arxiv_version: 1707.08667v2 · doi: 10.48550/arxiv.1707.08667 · pith_short_12: RG6XFWJAFI2R · pith_short_16: RG6XFWJAFI2R7LC7 · pith_short_8: RG6XFWJA

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/RG6XFWJAFI2R7LC7HOUZZLTXDN \
  | 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: 89bd72d9202a351fac5f3ba99cae771b4afe2303f9f87702e93ce507fce9cce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b238da481c3754461adc7ea353ce3d6f3ed1fbc3ffdfb732606ba2c0b1592bf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-26T23:51:41Z",
    "title_canon_sha256": "3c2985dcd0c2d44c3ab4363147924a928d126778deb4f71dbc86c00240428e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08667",
    "kind": "arxiv",
    "version": 2
  }
}