Pith Number

pith:5W2D7X2W

pith:2016:5W2D7X2WQ4ZKVW2OV24SWAKNKP

not attested not anchored not stored refs pending

Boundedness of Bi-parameter Littlewood-Paley operators on product Hardy space

Qingying Xue, Zhengyang Li

arxiv:1605.00476 v1 · 2016-05-02 · 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{5W2D7X2WQ4ZKVW2OV24SWAKNKP}

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	2026-05-18T01:15:54.092181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb43fdf568732aadb4eaeb92b014d53fe2abbd9953019ae25038ca395b7a9fb

Aliases

arxiv: 1605.00476 · arxiv_version: 1605.00476v1 · doi: 10.48550/arxiv.1605.00476 · pith_short_12: 5W2D7X2WQ4ZK · pith_short_16: 5W2D7X2WQ4ZKVW2O · pith_short_8: 5W2D7X2W

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/5W2D7X2WQ4ZKVW2OV24SWAKNKP \
  | 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: edb43fdf568732aadb4eaeb92b014d53fe2abbd9953019ae25038ca395b7a9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8523e4756841ad4c1fc70872286e60988f9a3e7383af2ebbe719e99e4488d5bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-02T13:32:10Z",
    "title_canon_sha256": "6f7a6c4275ec5a1e5ffe7848e7abf85cd73248f5d01c3868136dab261595ed4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00476",
    "kind": "arxiv",
    "version": 1
  }
}