Pith Number

pith:FFZLEBGD

pith:2018:FFZLEBGDXZ5JTWOXBDY47T74FI

not attested not anchored not stored refs pending

Sharp Beckner-type inequalities for Cauchy and spherical distributions

Dominique Bakry (IMT), Gr\'egory Scheffer, Ivan Gentil (ICJ)

arxiv:1804.03374 v2 · 2018-04-10 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFZLEBGDXZ5JTWOXBDY47T74FI}

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	2026-05-17T23:58:14.407908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2972b204c3be7a99d9d708f1cfcffc2a049c47104c860c6c00c5335624d1aac9

Aliases

arxiv: 1804.03374 · arxiv_version: 1804.03374v2 · doi: 10.48550/arxiv.1804.03374 · pith_short_12: FFZLEBGDXZ5J · pith_short_16: FFZLEBGDXZ5JTWOX · pith_short_8: FFZLEBGD

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/FFZLEBGDXZ5JTWOXBDY47T74FI \
  | 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: 2972b204c3be7a99d9d708f1cfcffc2a049c47104c860c6c00c5335624d1aac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1238de853ea1c6277e1836f16aa85a47acfc326db37b5c469c1034f072e669",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-10T07:09:19Z",
    "title_canon_sha256": "b03e6f6d72da82ec8ec92228857e0a1899ed4f63698ca3045b49777f42a9a290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03374",
    "kind": "arxiv",
    "version": 2
  }
}