Pith Number

pith:2YTWES6D

pith:2021:2YTWES6DGE4TOBMP6REHAILQOL

not attested not anchored not stored refs pending

All conditions for Stein-Weiss inequalities are necessary

Qu\^oc Anh Ng\^o

arxiv:2110.14220 v1 · 2021-10-27 · math.FA · 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{2YTWES6DGE4TOBMP6REHAILQOL}

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	2026-07-05T03:26:25.324112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d627624bc3313937058ff44870217072ce2850d6400729d54731e53013ded5ca

Aliases

arxiv: 2110.14220 · arxiv_version: 2110.14220v1 · doi: 10.48550/arxiv.2110.14220 · pith_short_12: 2YTWES6DGE4T · pith_short_16: 2YTWES6DGE4TOBMP · pith_short_8: 2YTWES6D

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/2YTWES6DGE4TOBMP6REHAILQOL \
  | 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: d627624bc3313937058ff44870217072ce2850d6400729d54731e53013ded5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42136e34829804e3e15a9163cf556ebe71f90b8f92f320f3774fa48108a8648e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-10-27T07:10:46Z",
    "title_canon_sha256": "8d0f5ce2c3c67acad4c368f8d117cbd1cac8e269bbae4bdead7d6500096da234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14220",
    "kind": "arxiv",
    "version": 1
  }
}