Pith Number

pith:QIALXP32

pith:2022:QIALXP32PIH7CJEGONZ3IOZRWW

not attested not anchored not stored refs pending

Spherical maximal operators on Heisenberg groups: Restricted dilation sets

Andreas Seeger, Joris Roos, Rajula Srivastava

arxiv:2208.02774 v2 · 2022-08-04 · 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{QIALXP32PIH7CJEGONZ3IOZRWW}

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	2026-07-05T10:04:09.116904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8200bbbf7a7a0ff124867373b43b31b5ba891601b92605fb47674e07cb3b6bd0

Aliases

arxiv: 2208.02774 · arxiv_version: 2208.02774v2 · doi: 10.48550/arxiv.2208.02774 · pith_short_12: QIALXP32PIH7 · pith_short_16: QIALXP32PIH7CJEG · pith_short_8: QIALXP32

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/QIALXP32PIH7CJEGONZ3IOZRWW \
  | 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: 8200bbbf7a7a0ff124867373b43b31b5ba891601b92605fb47674e07cb3b6bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335c1a253bbae5dc937b264dc66ba841a0bff7771babb0757390da56af69faeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-08-04T17:06:59Z",
    "title_canon_sha256": "30baf683b6ff6538695a4beb2d7b443365250cff1d6c14eb8e5d4967cb441c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.02774",
    "kind": "arxiv",
    "version": 2
  }
}