Pith Number

pith:OZAFF5ZQ

pith:2018:OZAFF5ZQ6BPOOCZS54HSN6BU6E

not attested not anchored not stored refs pending

Zhang's inequality for log-concave functions

Bernardo Gonz\'alez Merino, David Alonso-Guti\'errez, Julio Bernu\'es

arxiv:1810.07507 v1 · 2018-10-17 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZAFF5ZQ6BPOOCZS54HSN6BU6E}

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	2026-05-18T00:02:56.153636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764052f730f05ee70b32ef0f26f834f126c67167eef6d89fcbac1eed5f809190

Aliases

arxiv: 1810.07507 · arxiv_version: 1810.07507v1 · doi: 10.48550/arxiv.1810.07507 · pith_short_12: OZAFF5ZQ6BPO · pith_short_16: OZAFF5ZQ6BPOOCZS · pith_short_8: OZAFF5ZQ

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/OZAFF5ZQ6BPOOCZS54HSN6BU6E \
  | 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: 764052f730f05ee70b32ef0f26f834f126c67167eef6d89fcbac1eed5f809190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52936225548795222fc98e2c592cef3d5ee8e0901272e41749143b03b7bace42",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-17T12:57:07Z",
    "title_canon_sha256": "bfbdb4cdd9702be20f1832e58b0005bcd0243d882c8caba32546857d9dd46efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07507",
    "kind": "arxiv",
    "version": 1
  }
}