Pith Number

pith:YDKACD3F

pith:2016:YDKACD3FTBFXX4ENEP7DKK4Y5B

not attested not anchored not stored refs pending

On the geometry of random convex sets between polytopes and zonotopes

David Alonso-Guti\'errez, Joscha Prochno

arxiv:1608.00830 v2 · 2016-07-31 · 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{YDKACD3FTBFXX4ENEP7DKK4Y5B}

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	2026-05-18T00:53:20.756761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d4010f65984b7bf08d23fe352b98e865922fa9aa0140c1d08af42b828663be

Aliases

arxiv: 1608.00830 · arxiv_version: 1608.00830v2 · doi: 10.48550/arxiv.1608.00830 · pith_short_12: YDKACD3FTBFX · pith_short_16: YDKACD3FTBFXX4EN · pith_short_8: YDKACD3F

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/YDKACD3FTBFXX4ENEP7DKK4Y5B \
  | 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: c0d4010f65984b7bf08d23fe352b98e865922fa9aa0140c1d08af42b828663be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9293de611b10f7ee2b61eb648d149a48fc9b89cf2bc4a288238b96fa64476f8",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-07-31T18:10:19Z",
    "title_canon_sha256": "c74580354d45ce9845caf7db2722c88367610e8c014127a11cb538b39f8615f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00830",
    "kind": "arxiv",
    "version": 2
  }
}