Pith Number

pith:IIQTLEQ7

pith:2019:IIQTLEQ74MMZVFTUPIKZM23RM6

not attested not anchored not stored refs pending

Uniformly convex and smooth Banach spaces and Lp-boundedness properties of Littlewood-Paley and area functions associated with semigroups

Jorge J. Betancor, Juan C. Fari\~na, Samdra M. Molina, Vanesa Galli

arxiv:1904.05641 v1 · 2019-04-11 · 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{IIQTLEQ74MMZVFTUPIKZM23RM6}

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	2026-05-17T23:48:48.879888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422135921fe3199a96747a15966b7167968778e7d5d486bf8c4ac0e9074c102e

Aliases

arxiv: 1904.05641 · arxiv_version: 1904.05641v1 · doi: 10.48550/arxiv.1904.05641 · pith_short_12: IIQTLEQ74MMZ · pith_short_16: IIQTLEQ74MMZVFTU · pith_short_8: IIQTLEQ7

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/IIQTLEQ74MMZVFTUPIKZM23RM6 \
  | 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: 422135921fe3199a96747a15966b7167968778e7d5d486bf8c4ac0e9074c102e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6aa7e1281e06ff90fd5971354eb5b5d8f89f4f3d125029750b1871526139bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-11T11:41:37Z",
    "title_canon_sha256": "28654db2e4b442d793a3eea6e38a46d0fb1726cefae5a378ef13e8a80cac6ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05641",
    "kind": "arxiv",
    "version": 1
  }
}