Pith Number

pith:3Y6RM4F3

pith:2023:3Y6RM4F3VEXRPCZFLSKVXVKACJ

not attested not anchored not stored refs pending

Matrix weights, singular integrals, Jones factorization and Rubio de Francia extrapolation

David Cruz-Uribe

arxiv:2304.03887 v2 · 2023-04-08 · 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{3Y6RM4F3VEXRPCZFLSKVXVKACJ}

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.

Cited by

1 paper in Pith

Off-diagonal matrix extrapolation for Muckenhoupt bases

Receipt and verification

First computed	2026-07-05T07:59:14.522530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3d1670bba92f178b255c955bd540126763280912336a230c348b231f704601

Aliases

arxiv: 2304.03887 · arxiv_version: 2304.03887v2 · doi: 10.48550/arxiv.2304.03887 · pith_short_12: 3Y6RM4F3VEXR · pith_short_16: 3Y6RM4F3VEXRPCZF · pith_short_8: 3Y6RM4F3

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/3Y6RM4F3VEXRPCZFLSKVXVKACJ \
  | 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: de3d1670bba92f178b255c955bd540126763280912336a230c348b231f704601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30439e665ddc4617d20c17f2d7ad0d5844d8f7fb043259f5622e78f5fbdd5a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-04-08T01:59:30Z",
    "title_canon_sha256": "f44856b162294af1745cdd2a499e82fc01cac2029779780a1e31dee688eaee96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.03887",
    "kind": "arxiv",
    "version": 2
  }
}