Pith Number

pith:XYZOBD5N

pith:2015:XYZOBD5NM5N53MAH5EBX3UD37W

not attested not anchored not stored refs pending

Hardy Space Estimates for Littlewood-Paley-Stein Square Functions and Calder\'on-Zygmund Operators

Guozhen Lu, Jarod Hart

arxiv:1505.02185 v1 · 2015-04-30 · 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{XYZOBD5NM5N53MAH5EBX3UD37W}

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	2026-05-18T02:16:19.652193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be32e08fad675bddb007e9037dd07bfdb54373c0c56644a6e7c2d9c86afb94b3

Aliases

arxiv: 1505.02185 · arxiv_version: 1505.02185v1 · doi: 10.48550/arxiv.1505.02185 · pith_short_12: XYZOBD5NM5N5 · pith_short_16: XYZOBD5NM5N53MAH · pith_short_8: XYZOBD5N

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/XYZOBD5NM5N53MAH5EBX3UD37W \
  | 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: be32e08fad675bddb007e9037dd07bfdb54373c0c56644a6e7c2d9c86afb94b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd5cd44e81ec336366551c212b2e198559d2e094696c6220ab0e0af3888d3b5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-30T16:31:37Z",
    "title_canon_sha256": "10e2297c238c7f14f23a66afdd7d5d015955440f3be149218f8fd6cd195f28c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02185",
    "kind": "arxiv",
    "version": 1
  }
}