Pith Number

pith:XW5PGGNL

pith:2011:XW5PGGNLXIQJ3C7ZJBNXXU65J5

not attested not anchored not stored refs pending

Bounds for maximal functions associated to rotational invariant measures in high dimensions

Alberto Criado, Peter Sj\"ogren

arxiv:1111.4358 v1 · 2011-11-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XW5PGGNLXIQJ3C7ZJBNXXU65J5}

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	2026-05-18T04:08:04.536118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbaf319abba209d8bf9485b7bd3dd4f411ea14f128436d86197fb78a214e166

Aliases

arxiv: 1111.4358 · arxiv_version: 1111.4358v1 · doi: 10.48550/arxiv.1111.4358 · pith_short_12: XW5PGGNLXIQJ · pith_short_16: XW5PGGNLXIQJ3C7Z · pith_short_8: XW5PGGNL

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/XW5PGGNLXIQJ3C7ZJBNXXU65J5 \
  | 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: bdbaf319abba209d8bf9485b7bd3dd4f411ea14f128436d86197fb78a214e166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abae0f47f1bee9a780276768dda2cda747f8cb85d0bbfc38a93a1be93e8e96f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-18T13:29:26Z",
    "title_canon_sha256": "47cc6fc6a9c3ac180501ce1b9129d95252d0681386d891c8b7c006db79be0fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4358",
    "kind": "arxiv",
    "version": 1
  }
}