Pith Number

pith:Z5TMHMJL

pith:2017:Z5TMHMJLSXQSKXCFRSKHWTR34T

not attested not anchored not stored refs pending

Expected intrinsic volumes and facet numbers of random beta-polytopes

Christoph Thaele, Daniel Temesvari, Zakhar Kabluchko

arxiv:1707.02253 v2 · 2017-07-07 · 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{Z5TMHMJLSXQSKXCFRSKHWTR34T}

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	2026-05-18T00:27:30.328842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf66c3b12b95e1255c458c947b4e3be4fcb6e4aa79f45c24f7cd1fcb1bdebc6d

Aliases

arxiv: 1707.02253 · arxiv_version: 1707.02253v2 · doi: 10.48550/arxiv.1707.02253 · pith_short_12: Z5TMHMJLSXQS · pith_short_16: Z5TMHMJLSXQSKXCF · pith_short_8: Z5TMHMJL

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/Z5TMHMJLSXQSKXCFRSKHWTR34T \
  | 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: cf66c3b12b95e1255c458c947b4e3be4fcb6e4aa79f45c24f7cd1fcb1bdebc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d357efb8c7882c0601c98afa3644681aee29dd86cd97f7a9fbd7fcb0581ffe1e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-07T16:16:39Z",
    "title_canon_sha256": "b4d9e75c6e0b06ed9559757c590bbc3a827f70696b0dcfa32d382fc45fc86f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02253",
    "kind": "arxiv",
    "version": 2
  }
}