Pith Number

pith:JHN6U62N

pith:2021:JHN6U62N3DNMUCTNWT4CW2ALV6

not attested not anchored not stored refs pending

Lebesgue space estimates for spherical maximal functions on Heisenberg groups

Andreas Seeger, Joris Roos, Rajula Srivastava

arxiv:2103.09734 v2 · 2021-03-17 · math.CA · 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{JHN6U62N3DNMUCTNWT4CW2ALV6}

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	2026-07-05T06:33:38.875425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dbea7b4dd8daca0a6db4f82b680baf8bf45385e166abff0d385b78c7f69ac1

Aliases

arxiv: 2103.09734 · arxiv_version: 2103.09734v2 · doi: 10.48550/arxiv.2103.09734 · pith_short_12: JHN6U62N3DNM · pith_short_16: JHN6U62N3DNMUCTN · pith_short_8: JHN6U62N

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/JHN6U62N3DNMUCTNWT4CW2ALV6 \
  | 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: 49dbea7b4dd8daca0a6db4f82b680baf8bf45385e166abff0d385b78c7f69ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dee39f95d990464de535cae9a4a4aec04a39c3b098cd72f0b8429d4ef033f1a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-03-17T15:41:29Z",
    "title_canon_sha256": "6a4cd7be7565731617d1b836a2358b0068545ef3fe775210130a0eb221a935fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.09734",
    "kind": "arxiv",
    "version": 2
  }
}