Pith Number

pith:OAASROOT

pith:2014:OAASROOTO7HDD7UFKJOGHXFRRY

not attested not anchored not stored refs pending

Dimension free $L^p$ estimates for Riesz transforms via an $H^{\infty}$ joint functional calculus

B{\l}a\.zej Wr\'obel

arxiv:1404.6921 v1 · 2014-04-28 · 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{OAASROOTO7HDD7UFKJOGHXFRRY}

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	2026-05-18T02:44:17.521520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

700128b9d377ce31fe85525c63dcb18e3a3d02ac8b4be942b181e5bd6aec1a7b

Aliases

arxiv: 1404.6921 · arxiv_version: 1404.6921v1 · doi: 10.48550/arxiv.1404.6921 · pith_short_12: OAASROOTO7HD · pith_short_16: OAASROOTO7HDD7UF · pith_short_8: OAASROOT

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/OAASROOTO7HDD7UFKJOGHXFRRY \
  | 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: 700128b9d377ce31fe85525c63dcb18e3a3d02ac8b4be942b181e5bd6aec1a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f245165ebfc652f16c1ad7a67a5173bee074d431f0073c2bda9e615adf6c68ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-28T10:40:10Z",
    "title_canon_sha256": "1f79f3b2999804cfaa7aea38cfe54407a1f91cfadee2a7024d166db323320478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6921",
    "kind": "arxiv",
    "version": 1
  }
}