Pith Number

pith:BOFZPBAC

pith:2019:BOFZPBACDBVT77R7AKGKROSDC4

not attested not anchored not stored refs pending

A Dimension-Free Hermite-Hadamard Inequality via Gradient Estimates for the Torsion Function

Jianfeng Lu, Stefan Steinerberger

arxiv:1905.03216 v2 · 2019-05-08 · math.CA · 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{BOFZPBACDBVT77R7AKGKROSDC4}

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

Improved Bounds for Hermite-Hadamard Inequalities in Higher Dimensions

Receipt and verification

First computed	2026-05-17T23:46:03.003459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8b978402186b3ffe3f028ca8ba43171fad1fa7d18348d35becf214c50dfece

Aliases

arxiv: 1905.03216 · arxiv_version: 1905.03216v2 · doi: 10.48550/arxiv.1905.03216 · pith_short_12: BOFZPBACDBVT · pith_short_16: BOFZPBACDBVT77R7 · pith_short_8: BOFZPBAC

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/BOFZPBACDBVT77R7AKGKROSDC4 \
  | 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: 0b8b978402186b3ffe3f028ca8ba43171fad1fa7d18348d35becf214c50dfece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afb97057c6724b9e36cb21ff0397a7e1d89a6f67e115edf51e5da1192b06727",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-08T17:07:04Z",
    "title_canon_sha256": "8c02c755f8dc340ce614be12c1f0cc190be7a8dd57925fe4f97b85a79f63eb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03216",
    "kind": "arxiv",
    "version": 2
  }
}