Pith Number

pith:BPKD6AQL

pith:2010:BPKD6AQLBQMZ6S32VFOIKIXRKY

not attested not anchored not stored refs pending

The multilinear strong maximal function

Carlos Perez, Liguang Liu, Loukas Grafakos, Rodolfo H. Torres

arxiv:1002.1412 v2 · 2010-02-06 · 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{BPKD6AQLBQMZ6S32VFOIKIXRKY}

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	2026-05-18T04:27:15.083410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd43f020b0c199f4b7aa95c8522f1562afdcb4dfc084a21752dd11acdc0b804

Aliases

arxiv: 1002.1412 · arxiv_version: 1002.1412v2 · doi: 10.48550/arxiv.1002.1412 · pith_short_12: BPKD6AQLBQMZ · pith_short_16: BPKD6AQLBQMZ6S32 · pith_short_8: BPKD6AQL

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/BPKD6AQLBQMZ6S32VFOIKIXRKY \
  | 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: 0bd43f020b0c199f4b7aa95c8522f1562afdcb4dfc084a21752dd11acdc0b804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b108c79c5fd64c6e81813ca4972fdb0c2b27e5d0ec3de01e74b709ea36a75492",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-06T20:35:41Z",
    "title_canon_sha256": "9d5902166d615d511fd779ea30f1b1db95ef3df81366c093329ba2b7c14a3cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1412",
    "kind": "arxiv",
    "version": 2
  }
}