Pith Number

pith:OEN6YI4R

pith:2023:OEN6YI4RBS44JZRIEUNSPIWLVP

not attested not anchored not stored refs pending

Spherical maximal functions on two step nilpotent Lie groups

Andreas Seeger, Jaehyeon Ryu

arxiv:2309.07725 v2 · 2023-09-14 · 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{OEN6YI4RBS44JZRIEUNSPIWLVP}

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	2026-07-05T09:06:00.759653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711bec23910cb9c4e628251b27a2cbabe546cd878f159a0334911235c19e4a35

Aliases

arxiv: 2309.07725 · arxiv_version: 2309.07725v2 · doi: 10.48550/arxiv.2309.07725 · pith_short_12: OEN6YI4RBS44 · pith_short_16: OEN6YI4RBS44JZRI · pith_short_8: OEN6YI4R

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/OEN6YI4RBS44JZRIEUNSPIWLVP \
  | 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: 711bec23910cb9c4e628251b27a2cbabe546cd878f159a0334911235c19e4a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606fe8226ed535c5d4ddbe9cd577d2ba69d2eda1caac169171b6c45b05aae360",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-09-14T14:01:11Z",
    "title_canon_sha256": "5a7a31f289370e824114af5b21ebb78cbd4081732df3787095a5aeb0b4d9d221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.07725",
    "kind": "arxiv",
    "version": 2
  }
}