Pith Number

pith:4WDAM6WE

pith:2022:4WDAM6WESIB6P5IP5NOKEZCO7R

not attested not anchored not stored refs pending

Hypercontractivity beyond Nelson's time and its applications to Blaschke--Santal\'{o} inequality and inverse Santal\'{o} inequality

Hiroshi Tsuji, Shohei Nakamura

arxiv:2212.02866 v1 · 2022-12-06 · math.MG · math.AP · math.CA · 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{4WDAM6WESIB6P5IP5NOKEZCO7R}

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

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

Receipt and verification

First computed	2026-07-05T05:22:35.257641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e586067ac49203e7f50feb5ca2644efc73c962b17b600afdc84553a6fe093888

Aliases

arxiv: 2212.02866 · arxiv_version: 2212.02866v1 · doi: 10.48550/arxiv.2212.02866 · pith_short_12: 4WDAM6WESIB6 · pith_short_16: 4WDAM6WESIB6P5IP · pith_short_8: 4WDAM6WE

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/4WDAM6WESIB6P5IP5NOKEZCO7R \
  | 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: e586067ac49203e7f50feb5ca2644efc73c962b17b600afdc84553a6fe093888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813f54f45b06f598889c861889f288ad9feb74ffb57dbeead8e0ab60160a47d9",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-12-06T10:15:49Z",
    "title_canon_sha256": "33a2ec30c4ece39014d2e8b97f40de0975ce2c4a3059218761d753efd8c6bdcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02866",
    "kind": "arxiv",
    "version": 1
  }
}