Pith Number

pith:MBBU3YAB

pith:2018:MBBU3YABB2GD3UHWTWKXFGBVFN

not attested not anchored not stored refs pending

Hollow polytopes of large width

Francisco Santos, Giulia Codenotti

arxiv:1812.00916 v2 · 2018-12-03 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBBU3YABB2GD3UHWTWKXFGBVFN}

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	2026-07-05T00:27:42.353192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60434de0010e8c3dd0f69d957298352b54ff4cb7e9d3496398a42324914ebf64

Aliases

arxiv: 1812.00916 · arxiv_version: 1812.00916v2 · doi: 10.48550/arxiv.1812.00916 · pith_short_12: MBBU3YABB2GD · pith_short_16: MBBU3YABB2GD3UHW · pith_short_8: MBBU3YAB

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/MBBU3YABB2GD3UHWTWKXFGBVFN \
  | 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: 60434de0010e8c3dd0f69d957298352b54ff4cb7e9d3496398a42324914ebf64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840856e5349e6af68e6be057d79d5ce108aee7c74dac91c6d5269a1a868c6eff",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-03T17:17:26Z",
    "title_canon_sha256": "46daed3fd1ec34072cc94874271c4c64d32054f7599cff09bab9714e7605db19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00916",
    "kind": "arxiv",
    "version": 2
  }
}