Pith Number

pith:XPXXJ6AR

pith:2010:XPXXJ6ARGT6WMJRRVZB34Z2VMR

not attested not anchored not stored refs pending

Level sets and Composition operators on the Dirichlet space

H. Youssfi (LATP), K. Kellay (LATP), M. Shabankhah (LATP), O. El-Fallah

arxiv:1003.5059 v1 · 2010-03-26 · 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{XPXXJ6ARGT6WMJRRVZB34Z2VMR}

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	2026-05-18T04:32:33.963784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbef74f81134fd662631ae43be67556463dc2d7c394dda15c197a1c22a59796b

Aliases

arxiv: 1003.5059 · arxiv_version: 1003.5059v1 · doi: 10.48550/arxiv.1003.5059 · pith_short_12: XPXXJ6ARGT6W · pith_short_16: XPXXJ6ARGT6WMJRR · pith_short_8: XPXXJ6AR

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/XPXXJ6ARGT6WMJRRVZB34Z2VMR \
  | 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: bbef74f81134fd662631ae43be67556463dc2d7c394dda15c197a1c22a59796b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d788df1e19e645116b7c1ed0de0c370a7c6be463caf1607483da7e60cb6d864",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-03-26T07:55:48Z",
    "title_canon_sha256": "abb4b1f599f66f1a461107c7e4b5425480e10b702ebee32f21d6e6b2d932941b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5059",
    "kind": "arxiv",
    "version": 1
  }
}