Pith Number

pith:UBD4643I

pith:2014:UBD4643I32H4JDZEFGQOSFJZRJ

not attested not anchored not stored refs pending

Extrapolation and weighted norm inequalities in the variable Lebesgue spaces

David Cruz-Uribe, Li-An Daniel Wang

arxiv:1408.4499 v1 · 2014-08-19 · 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{UBD4643I32H4JDZEFGQOSFJZRJ}

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	2026-05-18T02:44:55.106474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a047cf7368de8fc48f2429a0e915398a5bdec0b0e5fa1bc6fc2c2c858aaeeac1

Aliases

arxiv: 1408.4499 · arxiv_version: 1408.4499v1 · doi: 10.48550/arxiv.1408.4499 · pith_short_12: UBD4643I32H4 · pith_short_16: UBD4643I32H4JDZE · pith_short_8: UBD4643I

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/UBD4643I32H4JDZEFGQOSFJZRJ \
  | 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: a047cf7368de8fc48f2429a0e915398a5bdec0b0e5fa1bc6fc2c2c858aaeeac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ebbc6b4937863eea87cf1571a66303f58d620411261f9f24ec6ff1a224e20b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-19T23:24:06Z",
    "title_canon_sha256": "ceed690d865cd188b987b6b2a9aabb6e9799f6a7d1157c5b2638c781b67b9508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4499",
    "kind": "arxiv",
    "version": 1
  }
}