Pith Number

pith:FM5II54F

pith:2014:FM5II54FGA3C7IWOW47BVLIQCJ

not attested not anchored not stored refs pending

Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

Irene Drelichman, Nicolas Saintier, Pablo L. De N\'apoli

arxiv:1406.0542 v2 · 2014-06-02 · math.CA · 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{FM5II54FGA3C7IWOW47BVLIQCJ}

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	2026-05-18T02:19:36.173974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b3a84778530362fa2ceb73e1aad10126c682d6b0f57dc07c0c3ce1d22b8c5c8

Aliases

arxiv: 1406.0542 · arxiv_version: 1406.0542v2 · doi: 10.48550/arxiv.1406.0542 · pith_short_12: FM5II54FGA3C · pith_short_16: FM5II54FGA3C7IWO · pith_short_8: FM5II54F

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/FM5II54FGA3C7IWOW47BVLIQCJ \
  | 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: 2b3a84778530362fa2ceb73e1aad10126c682d6b0f57dc07c0c3ce1d22b8c5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1272b7a004265b42309f7664b7f08d80d8000a255d15c6b41e89eea3eda5136c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-02T21:49:57Z",
    "title_canon_sha256": "7a4989a106edc0e78126da0a13569e9c1b7f7e43d5da658adfe85cc639d5a570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0542",
    "kind": "arxiv",
    "version": 2
  }
}