Pith Number

pith:PXETUKTU

pith:2017:PXETUKTUFOQ4EEUKBE3JYB5DPO

not attested not anchored not stored refs pending

Monotonicity of functionals of random polytopes

Mareen Beermann, Matthias Reitzner

arxiv:1706.08342 v1 · 2017-06-26 · 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{PXETUKTUFOQ4EEUKBE3JYB5DPO}

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	2026-05-18T00:41:42.841073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc93a2a742ba1c2128a09369c07a37bb4de58923d03c24c332d75eb62f928ae

Aliases

arxiv: 1706.08342 · arxiv_version: 1706.08342v1 · doi: 10.48550/arxiv.1706.08342 · pith_short_12: PXETUKTUFOQ4 · pith_short_16: PXETUKTUFOQ4EEUK · pith_short_8: PXETUKTU

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/PXETUKTUFOQ4EEUKBE3JYB5DPO \
  | 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: 7dc93a2a742ba1c2128a09369c07a37bb4de58923d03c24c332d75eb62f928ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981ccb0538ae7b6c4703d540fe718e74054678769c2f104921592d0292006c6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-26T12:39:59Z",
    "title_canon_sha256": "827b243554981fd5415814715feac374c0549280d3a3c7d1f01811d940d33c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08342",
    "kind": "arxiv",
    "version": 1
  }
}