Pith Number

pith:UP4FESXS

pith:2017:UP4FESXSV6B5CW3R7DY72JCMSA

not attested not anchored not stored refs pending

The number of convex tilings of the sphere by triangles, squares, or hexagons

Peter Smillie, Philip Engel

arxiv:1702.02614 v2 · 2017-02-08 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UP4FESXSV6B5CW3R7DY72JCMSA}

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	2026-05-18T00:13:32.849217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f8524af2af83d15b71f8f1fd244c90012151751642c8ebbd811a4829906127

Aliases

arxiv: 1702.02614 · arxiv_version: 1702.02614v2 · doi: 10.48550/arxiv.1702.02614 · pith_short_12: UP4FESXSV6B5 · pith_short_16: UP4FESXSV6B5CW3R · pith_short_8: UP4FESXS

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/UP4FESXSV6B5CW3R7DY72JCMSA \
  | 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: a3f8524af2af83d15b71f8f1fd244c90012151751642c8ebbd811a4829906127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2a369db6344b11e52718c8703f2d4479e64d94799d53e1248b37292ca92e5f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-08T21:20:47Z",
    "title_canon_sha256": "ddaead2ef5cdea05f99ab6510c97357cbb735e04c82641e047ebc06fd87a0001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02614",
    "kind": "arxiv",
    "version": 2
  }
}