Pith Number

pith:RTR2IYAP

pith:2026:RTR2IYAP4H7IARRUV4IC4KVVKU

not attested not anchored not stored refs pending

Reverse inequalities for super-Riesz transforms on graphs with a slow diffusion

Joseph Feneuil

arxiv:2606.05475 v1 · 2026-06-03 · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTR2IYAP4H7IARRUV4IC4KVVKU}

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.

Cited by

1 paper in Pith

A reverse Riesz estimate combined with a spectral gap implies a Poincar\'e inequality

Receipt and verification

First computed	2026-06-05T01:14:52.364905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce3a4600fe1fe804634af102e2ab5552cb1af7767e1439f9e3664fb334bd238

Aliases

arxiv: 2606.05475 · arxiv_version: 2606.05475v1 · doi: 10.48550/arxiv.2606.05475 · pith_short_12: RTR2IYAP4H7I · pith_short_16: RTR2IYAP4H7IARRU · pith_short_8: RTR2IYAP

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/RTR2IYAP4H7IARRUV4IC4KVVKU \
  | 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: 8ce3a4600fe1fe804634af102e2ab5552cb1af7767e1439f9e3664fb334bd238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8211b2386273196790a25fc42f2b19085f98793970e933deab971e70442ab9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-03T21:53:52Z",
    "title_canon_sha256": "0562dd21b8785887ba504ee3400729ecd14430ff04bf5b4a28cb3c2679bc7782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05475",
    "kind": "arxiv",
    "version": 1
  }
}