Pith Number

pith:ZNPBJCZ5

pith:2014:ZNPBJCZ5K36K7CJVTY4NU2Q5RZ

not attested not anchored not stored refs pending

Universality theorems for inscribed polytopes and Delaunay triangulations

Arnau Padrol, Karim A. Adiprasito, Louis Theran

arxiv:1406.7831 v1 · 2014-06-30 · math.MG · cs.CG · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNPBJCZ5K36K7CJVTY4NU2Q5RZ}

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	2026-05-18T02:48:44.062386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5e148b3d56fcaf89359e38da6a1d8e6d63e4647d3fb9746f185fcbae6efc72

Aliases

arxiv: 1406.7831 · arxiv_version: 1406.7831v1 · doi: 10.48550/arxiv.1406.7831 · pith_short_12: ZNPBJCZ5K36K · pith_short_16: ZNPBJCZ5K36K7CJV · pith_short_8: ZNPBJCZ5

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/ZNPBJCZ5K36K7CJVTY4NU2Q5RZ \
  | 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: cb5e148b3d56fcaf89359e38da6a1d8e6d63e4647d3fb9746f185fcbae6efc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee20e0ab18c862f5a7eb4a16da3009b63ca6d366b8a5d73123b8cd2d11a941e",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-06-30T17:51:35Z",
    "title_canon_sha256": "1b1d8db4ccebbdedf21e209651c37fc61a9f92748358e1b6a6c0c97b300a445d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7831",
    "kind": "arxiv",
    "version": 1
  }
}