Pith Number

pith:FHGB62WL

pith:2010:FHGB62WLYTH52XCPI2JREA554H

not attested not anchored not stored refs pending

Various characterizations of Besov-Dunkl spaces

Chokri Abdelkefi, Feriel Sassi

arxiv:1012.5769 v1 · 2010-12-28 · 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{FHGB62WLYTH52XCPI2JREA554H}

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	2026-05-18T04:32:21.580803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29cc1f6acbc4cfdd5c4f46931203bde1cae312c9819f912b0d34476474998c14

Aliases

arxiv: 1012.5769 · arxiv_version: 1012.5769v1 · doi: 10.48550/arxiv.1012.5769 · pith_short_12: FHGB62WLYTH5 · pith_short_16: FHGB62WLYTH52XCP · pith_short_8: FHGB62WL

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/FHGB62WLYTH52XCPI2JREA554H \
  | 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: 29cc1f6acbc4cfdd5c4f46931203bde1cae312c9819f912b0d34476474998c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7adcf7bdaa314743b146a1a2a1cc855be7b2a30f6b273a1c594a94dddd931035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-28T14:10:20Z",
    "title_canon_sha256": "add45fcff28ab483c5a7c65f728e405beb6b0e5ff0cdb38129d878659ac57edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5769",
    "kind": "arxiv",
    "version": 1
  }
}