Pith Number

pith:RV44HZHK

pith:2026:RV44HZHKP3SKWJHOYHTSVZ43EL

not attested not anchored not stored refs pending

Discrete analogues in harmonic analysis: Multi-parameter Radon averages

Agnieszka Hejna-{\L}y\.zwa, Bartosz Langowski, Hoyoung Song, James Wright, Joonil Kim, Mariusz Mirek

arxiv:2607.18160 v1 · 2026-07-20 · math.CA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RV44HZHKP3SKWJHOYHTSVZ43EL}

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	2026-07-21T02:22:19.664159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d79c3e4ea7ee4ab24eec1e72ae79b22dcecd4961608573d151afdf2359d6bba

Aliases

arxiv: 2607.18160 · arxiv_version: 2607.18160v1 · doi: 10.48550/arxiv.2607.18160 · pith_short_12: RV44HZHKP3SK · pith_short_16: RV44HZHKP3SKWJHO · pith_short_8: RV44HZHK

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/RV44HZHKP3SKWJHOYHTSVZ43EL \
  | 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: 8d79c3e4ea7ee4ab24eec1e72ae79b22dcecd4961608573d151afdf2359d6bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0064455454c2a54627e9eb195305c8ae8452071b091cc590176ef5a0e2a2120c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-20T17:04:10Z",
    "title_canon_sha256": "f136b15f4e9c9b1b7aa085b08ba9b7a24c3d5cb94be40966b709356531f5e4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18160",
    "kind": "arxiv",
    "version": 1
  }
}