Pith Number

pith:MNY4JVEH

pith:2011:MNY4JVEHOEVJSZW4XGPHZVBS37

not attested not anchored not stored refs pending

Intrinsic volumes of random polytopes with vertices on the boundary of a convex body

Daniel Hug, Ferenc Fodor, K\'aroly J. B\"or\"oczky

arxiv:1103.4978 v1 · 2011-03-25 · math.MG · 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{MNY4JVEHOEVJSZW4XGPHZVBS37}

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	2026-05-18T02:41:09.326191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6371c4d487712a9966dcb99e7cd432dffc8ec28fc73ca3043878b675da84eb18

Aliases

arxiv: 1103.4978 · arxiv_version: 1103.4978v1 · doi: 10.48550/arxiv.1103.4978 · pith_short_12: MNY4JVEHOEVJ · pith_short_16: MNY4JVEHOEVJSZW4 · pith_short_8: MNY4JVEH

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/MNY4JVEHOEVJSZW4XGPHZVBS37 \
  | 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: 6371c4d487712a9966dcb99e7cd432dffc8ec28fc73ca3043878b675da84eb18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b59e129ff867166496aacd735e24ed11cc70b09122000ef2814c40e69751fc7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-03-25T14:22:31Z",
    "title_canon_sha256": "f2d3965801a4a18a5c9191075d4ec5c77772374116d60c40c75fb050b020d1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4978",
    "kind": "arxiv",
    "version": 1
  }
}