Pith Number

pith:D7S2RZFE

pith:2019:D7S2RZFEHCAMVO4O52VTED7QKM

not attested not anchored not stored refs pending

$L^p\to L^q$ bounds for spherical maximal operators

Andreas Seeger, Joris Roos, Kevin Hughes, Theresa C. Anderson

arxiv:1909.05389 v3 · 2019-09-11 · 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{D7S2RZFEHCAMVO4O52VTED7QKM}

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	2026-07-05T02:23:55.980791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe5a8e4a43880cabb8eeeab320ff0533bc51363524d7f2eb4b6daf99bba8128

Aliases

arxiv: 1909.05389 · arxiv_version: 1909.05389v3 · doi: 10.48550/arxiv.1909.05389 · pith_short_12: D7S2RZFEHCAM · pith_short_16: D7S2RZFEHCAMVO4O · pith_short_8: D7S2RZFE

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/D7S2RZFEHCAMVO4O52VTED7QKM \
  | 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: 1fe5a8e4a43880cabb8eeeab320ff0533bc51363524d7f2eb4b6daf99bba8128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ddb5d2b800b2a5284aa0c2ffeabc5378f3fc1c95dedc631ba9551bde5a9925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-09-11T22:01:20Z",
    "title_canon_sha256": "f1b641b6f27dcf9311b354a1d969411cc68e8ee3ad5d55d97ae6de0fbf6b80e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.05389",
    "kind": "arxiv",
    "version": 3
  }
}