Pith Number

pith:E2CFLSYV

pith:2022:E2CFLSYVILVHPXJYWZECAKONQC

not attested not anchored not stored refs pending

On the volume of the Minkowski sum of zonoids

Artem Zvavitch, Mathieu Meyer, Matthieu Fradelizi, Mokshay Madiman

arxiv:2206.02123 v1 · 2022-06-05 · math.MG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2CFLSYVILVHPXJYWZECAKONQC}

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	2026-07-05T07:54:46.849063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268455cb1542ea77dd38b6482029cd80b65d02a7f62833aa90b7934369220281

Aliases

arxiv: 2206.02123 · arxiv_version: 2206.02123v1 · doi: 10.48550/arxiv.2206.02123 · pith_short_12: E2CFLSYVILVH · pith_short_16: E2CFLSYVILVHPXJY · pith_short_8: E2CFLSYV

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/E2CFLSYVILVHPXJYWZECAKONQC \
  | 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: 268455cb1542ea77dd38b6482029cd80b65d02a7f62833aa90b7934369220281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0327b387cfc304aa4c5ccc9b3739ae7dddeb499851f436f3fb3a1d886ce44af",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-06-05T08:38:39Z",
    "title_canon_sha256": "e4291ef596eba573ae8ce34c65f22fd25e53909424459e452c177f4a587a8b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.02123",
    "kind": "arxiv",
    "version": 1
  }
}