Pith Number

pith:QQEJDX4H

pith:2024:QQEJDX4HUBANQG5RTQQW6IZ5C2

not attested not anchored not stored refs pending

Norms of spherical averaging operators for some geometric group actions

Bogdan Nica

arxiv:2405.08682 v1 · 2024-05-14 · math.GR · 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{QQEJDX4HUBANQG5RTQQW6IZ5C2}

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.

Cited by

1 paper in Pith

Hardy-Littlewood maximal operator on spaces of exponential volume growth

Receipt and verification

First computed	2026-07-05T08:19:04.046030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840891df87a040d81bb19c216f233d169b84ca533969205b2785c0157290c00c

Aliases

arxiv: 2405.08682 · arxiv_version: 2405.08682v1 · doi: 10.48550/arxiv.2405.08682 · pith_short_12: QQEJDX4HUBAN · pith_short_16: QQEJDX4HUBANQG5R · pith_short_8: QQEJDX4H

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/QQEJDX4HUBANQG5RTQQW6IZ5C2 \
  | 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: 840891df87a040d81bb19c216f233d169b84ca533969205b2785c0157290c00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d348a95a407d12d501a57b6dc05c03b34c440318a75e29cededc666d7f88ecc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-05-14T15:04:54Z",
    "title_canon_sha256": "e3c85fb29d8dfdaee993bd3e5a36734a9177df7f3015bffd3a152ea1cf5a41f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08682",
    "kind": "arxiv",
    "version": 1
  }
}