Pith Number

pith:PSKASNP5

pith:2017:PSKASNP53B5TOE4UCVZOKG3RVU

not attested not anchored not stored refs pending

Approximation of smooth convex bodies by random polytopes

Elisabeth M. Werner, Julian Grote

arxiv:1706.07623 v2 · 2017-06-23 · 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{PSKASNP53B5TOE4UCVZOKG3RVU}

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	2026-05-18T00:40:48.507967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c940935fdd87b3713941572e51b71ad1935ea95f86525f22697922c9c597679

Aliases

arxiv: 1706.07623 · arxiv_version: 1706.07623v2 · doi: 10.48550/arxiv.1706.07623 · pith_short_12: PSKASNP53B5T · pith_short_16: PSKASNP53B5TOE4U · pith_short_8: PSKASNP5

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/PSKASNP53B5TOE4UCVZOKG3RVU \
  | 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: 7c940935fdd87b3713941572e51b71ad1935ea95f86525f22697922c9c597679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b24c073c62e7257179c03402df44f7322a08494a3931c7296d81b068fb26784",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-06-23T10:02:21Z",
    "title_canon_sha256": "8f3a4d4d57ebb144a299fd03bcf3be0d388aa186346f7bd1f373bc640c01e356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07623",
    "kind": "arxiv",
    "version": 2
  }
}