Pith Number

pith:WM56PA5Y

pith:2018:WM56PA5Y4L7MWWQEB5BJO6XZRB

not attested not anchored not stored refs pending

Weak factorization of the Hardy space $H^p$ for small values of $p$, in the multilinear setting

Marie-Jose S. Kuffner

arxiv:1802.01768 v1 · 2018-02-06 · 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{WM56PA5Y4L7MWWQEB5BJO6XZRB}

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	2026-05-18T00:24:21.343740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33be783b8e2fecb5a040f42977af988744ef311d9ca42d1b8abbb8ed0f5b01d

Aliases

arxiv: 1802.01768 · arxiv_version: 1802.01768v1 · doi: 10.48550/arxiv.1802.01768 · pith_short_12: WM56PA5Y4L7M · pith_short_16: WM56PA5Y4L7MWWQE · pith_short_8: WM56PA5Y

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/WM56PA5Y4L7MWWQEB5BJO6XZRB \
  | 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: b33be783b8e2fecb5a040f42977af988744ef311d9ca42d1b8abbb8ed0f5b01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceba77347487cff92f2d74a11aee56b9452ce87f2a137832cb9d6ea5a2cc9230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-06T02:50:15Z",
    "title_canon_sha256": "9055f3efb68de201a26ab4854b2713f119772d4dbad20f35d6ff3413c14eb975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01768",
    "kind": "arxiv",
    "version": 1
  }
}