Pith Number

pith:O43S743Z

pith:2016:O43S743ZU2EUXZWJ5VNSRDUYA6

not attested not anchored not stored refs pending

Convex cones, integral zonotopes, limit shape

Ben Lund, Imre B\'ar\'any, Julien Bureaux

arxiv:1610.06400 v2 · 2016-10-20 · math.CO · 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{O43S743ZU2EUXZWJ5VNSRDUYA6}

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	2026-05-18T00:18:46.841955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77372ff379a6894be6c9ed5b288e980792b1cd84cef5be14d850a3b6933ab42b

Aliases

arxiv: 1610.06400 · arxiv_version: 1610.06400v2 · doi: 10.48550/arxiv.1610.06400 · pith_short_12: O43S743ZU2EU · pith_short_16: O43S743ZU2EUXZWJ · pith_short_8: O43S743Z

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/O43S743ZU2EUXZWJ5VNSRDUYA6 \
  | 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: 77372ff379a6894be6c9ed5b288e980792b1cd84cef5be14d850a3b6933ab42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d4c5e5428cd71e98b98837554e1f544f6cbb7b29e74f218aeb217142ff3218",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-20T13:26:51Z",
    "title_canon_sha256": "35bb9e6b4f895ebe0d4b5cd6536fae883f830a7f45e49565b1ccae2438bd8850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06400",
    "kind": "arxiv",
    "version": 2
  }
}