Pith Number

pith:RFE4AFDU

pith:2026:RFE4AFDUUAD6H46CGHQBOCHR2I

not attested not anchored not stored refs pending

Weighted Hardy Inequalities for Nested Averages

Ludovick Bouthat, Pierre-Olivier Paris\'e

arxiv:2606.24044 v1 · 2026-06-23 · 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{RFE4AFDUUAD6H46CGHQBOCHR2I}

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	2026-06-24T01:14:38.908203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8949c01474a007e3f3c231e01708f1d222216517f6e6a5faa62b30e5297051af

Aliases

arxiv: 2606.24044 · arxiv_version: 2606.24044v1 · doi: 10.48550/arxiv.2606.24044 · pith_short_12: RFE4AFDUUAD6 · pith_short_16: RFE4AFDUUAD6H46C · pith_short_8: RFE4AFDU

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/RFE4AFDUUAD6H46CGHQBOCHR2I \
  | 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: 8949c01474a007e3f3c231e01708f1d222216517f6e6a5faa62b30e5297051af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62bfd34a30b0542a4d01d018a3514ffc45d7a13a001e28aaabe9672cef878ed7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-23T01:05:03Z",
    "title_canon_sha256": "12e368abb78eea913c511f2cd29119c8d32be43291d95102887e92dad9ba0b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24044",
    "kind": "arxiv",
    "version": 1
  }
}