Pith Number

pith:J6QWUJ55

pith:2012:J6QWUJ55CSIXHJCTPQ5P7AAMAN

not attested not anchored not stored refs pending

On directional maximal operators in higher dimensions

Javier Parcet, Keith M. Rogers

arxiv:1205.3606 v4 · 2012-05-16 · 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{J6QWUJ55CSIXHJCTPQ5P7AAMAN}

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	2026-05-18T01:55:58.506924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa16a27bd149173a4537c3aff800c03467598512ef59ee8e2de023c3e568d71

Aliases

arxiv: 1205.3606 · arxiv_version: 1205.3606v4 · doi: 10.48550/arxiv.1205.3606 · pith_short_12: J6QWUJ55CSIX · pith_short_16: J6QWUJ55CSIXHJCT · pith_short_8: J6QWUJ55

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/J6QWUJ55CSIXHJCTPQ5P7AAMAN \
  | 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: 4fa16a27bd149173a4537c3aff800c03467598512ef59ee8e2de023c3e568d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f5681903a4607a6b9fc5399e1731dca624a391551fa44f9ba9d056d2217945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-16T09:17:00Z",
    "title_canon_sha256": "f4d9b1a9e5811c52fb24225ac2db8acbda5e50cc267921bca4c972ad81df8d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3606",
    "kind": "arxiv",
    "version": 4
  }
}