Pith Number

pith:XOIZVPQ7

pith:2022:XOIZVPQ7Q4M3LILJXLN76L6EAD

not attested not anchored not stored refs pending

Coorbit spaces associated to quasi-Banach function spaces and their molecular decomposition

Felix Voigtlaender, Jordy Timo van Velthoven

arxiv:2203.07959 v2 · 2022-03-15 · math.FA · 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{XOIZVPQ7Q4M3LILJXLN76L6EAD}

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

Besov and Triebel-Lizorkin spaces on homogeneous groups

Receipt and verification

First computed	2026-07-05T07:48:26.601388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb919abe1f8719b5a169badbff2fc400e4c27d14e57c6dbc29cd81367647f6d1

Aliases

arxiv: 2203.07959 · arxiv_version: 2203.07959v2 · doi: 10.48550/arxiv.2203.07959 · pith_short_12: XOIZVPQ7Q4M3 · pith_short_16: XOIZVPQ7Q4M3LILJ · pith_short_8: XOIZVPQ7

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/XOIZVPQ7Q4M3LILJXLN76L6EAD \
  | 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: bb919abe1f8719b5a169badbff2fc400e4c27d14e57c6dbc29cd81367647f6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20e2b3b38444f96ffca47a8c254bb7be0a1538d9db91f9d020f575c7670543b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-03-15T14:42:20Z",
    "title_canon_sha256": "ebbd3f43c39f7366488a4d1ffee8814fff52630e55ec2e3640dc514dc87a1b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.07959",
    "kind": "arxiv",
    "version": 2
  }
}