Pith Number

pith:SJHEQKCB

pith:2011:SJHEQKCBSWL37G5WTE4OJ6YADD

not attested not anchored not stored refs pending

Homogeneity property of Besov and Triebel-Lizorkin spaces

Cornelia Schneider, Jan Vyb\'iral

arxiv:1112.3156 v1 · 2011-12-14 · 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{SJHEQKCBSWL37G5WTE4OJ6YADD}

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	2026-05-18T04:06:19.982394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

924e4828419597bf9bb69938e4fb0018e766a5d4a66220f32ceea1dd18a5b260

Aliases

arxiv: 1112.3156 · arxiv_version: 1112.3156v1 · doi: 10.48550/arxiv.1112.3156 · pith_short_12: SJHEQKCBSWL3 · pith_short_16: SJHEQKCBSWL37G5W · pith_short_8: SJHEQKCB

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/SJHEQKCBSWL37G5WTE4OJ6YADD \
  | 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: 924e4828419597bf9bb69938e4fb0018e766a5d4a66220f32ceea1dd18a5b260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0555cce10aae7e0234b941593312521d723cf6ddf8e5de78e7cf0c7308a59385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-14T10:22:56Z",
    "title_canon_sha256": "fada811c384ae6ef7623ac903e6517c6fe658b3d9445d10feb738ccc98ac3708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3156",
    "kind": "arxiv",
    "version": 1
  }
}