Pith Number

pith:ANHNGS6C

pith:2010:ANHNGS6CGPJGJ2QVB2K3K6KARR

not attested not anchored not stored refs pending

Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization

Azita Mayeli, Hartmut F\"uhr

arxiv:1007.4041 v2 · 2010-07-23 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANHNGS6CGPJGJ2QVB2K3K6KARR}

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	2026-05-18T03:50:48.882921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034ed34bc233d264ea150e95b579408c660f2d8a7e534b0ebe3dcb9e57c4db44

Aliases

arxiv: 1007.4041 · arxiv_version: 1007.4041v2 · doi: 10.48550/arxiv.1007.4041 · pith_short_12: ANHNGS6CGPJG · pith_short_16: ANHNGS6CGPJGJ2QV · pith_short_8: ANHNGS6C

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/ANHNGS6CGPJGJ2QVB2K3K6KARR \
  | 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: 034ed34bc233d264ea150e95b579408c660f2d8a7e534b0ebe3dcb9e57c4db44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "340396c502b9824f2afb6042d6f5f47b4bdd3c80ddd7a239747c9d45b0c457be",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-23T04:51:22Z",
    "title_canon_sha256": "4f5e55077ef6d54f0701493e032987c01e9b950d68e0a9e717cb6e2b71e1f0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4041",
    "kind": "arxiv",
    "version": 2
  }
}