Pith Number

pith:VB62PP2H

pith:2019:VB62PP2HR2XRD6VKWXSG5RQDN4

not attested not anchored not stored refs pending

Affine quermassintegrals of random polytopes

Giorgos Chasapis, Nikos Skarmogiannis

arxiv:1906.08015 v1 · 2019-06-19 · math.MG · math.FA · 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{VB62PP2HR2XRD6VKWXSG5RQDN4}

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	2026-05-17T23:42:54.889112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87da7bf478eaf11faaab5e46ec6036f0e424650539d62bc04e7ce640f683c7d

Aliases

arxiv: 1906.08015 · arxiv_version: 1906.08015v1 · doi: 10.48550/arxiv.1906.08015 · pith_short_12: VB62PP2HR2XR · pith_short_16: VB62PP2HR2XRD6VK · pith_short_8: VB62PP2H

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/VB62PP2HR2XRD6VKWXSG5RQDN4 \
  | 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: a87da7bf478eaf11faaab5e46ec6036f0e424650539d62bc04e7ce640f683c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9d039f60b70723c282a457030ec195b20c4e4f5dcf7c61fdd1377a4525b38b",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-19T10:34:10Z",
    "title_canon_sha256": "f52eab58d1e85a1d1820a923d06e838ca075adb12ab32d059c07d2f6f1ecd5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08015",
    "kind": "arxiv",
    "version": 1
  }
}