Pith Number

pith:XDIHUR3Z

pith:2018:XDIHUR3ZFLNHCPLTBQUDCMHDOG

not attested not anchored not stored refs pending

Rearrangement and Prekopa-Leindler type inequalities

James Melbourne

arxiv:1806.08837 v2 · 2018-06-22 · math.PR · cs.IT · math.FA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDIHUR3ZFLNHCPLTBQUDCMHDOG}

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	2026-05-17T23:45:20.799070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d07a47792ada713d730c283130e371b533bc37bb49371fa28ff6aa9c69e432

Aliases

arxiv: 1806.08837 · arxiv_version: 1806.08837v2 · doi: 10.48550/arxiv.1806.08837 · pith_short_12: XDIHUR3ZFLNH · pith_short_16: XDIHUR3ZFLNHCPLT · pith_short_8: XDIHUR3Z

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/XDIHUR3ZFLNHCPLTBQUDCMHDOG \
  | 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: b8d07a47792ada713d730c283130e371b533bc37bb49371fa28ff6aa9c69e432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea1eacdaf1cef83e41cdd92a670276cab993722519d79d1baec9eeb2c509862",
    "cross_cats_sorted": [
      "cs.IT",
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-22T20:02:52Z",
    "title_canon_sha256": "f02f3a206cca08516d3c7c061bed86c177bfff44c7ea526ce520748feb111f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08837",
    "kind": "arxiv",
    "version": 2
  }
}