Pith Number

pith:IOQEUXXD

pith:2022:IOQEUXXDDLJZPPNA56NWNLY6EB

not attested not anchored not stored refs pending

Tilings of the Sphere by Congruent Quadrilaterals or Triangles

Hoi Ping Luk, Ho Man Cheung, Min Yan

arxiv:2204.02736 v3 · 2022-04-06 · 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{IOQEUXXDDLJZPPNA56NWNLY6EB}

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.

Cited by

2 papers in Pith

Dihedral Tilings of the Sphere by Kites and Regular Polygons

Edge-to-edge Tilings of the Sphere by Angle Congruent Pentagons

Receipt and verification

First computed	2026-07-05T07:42:37.609403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a04a5ee31ad397bda0ef9b66af1e2048e52a1fdd1c3d8570b137d9e50846d7

Aliases

arxiv: 2204.02736 · arxiv_version: 2204.02736v3 · doi: 10.48550/arxiv.2204.02736 · pith_short_12: IOQEUXXDDLJZ · pith_short_16: IOQEUXXDDLJZPPNA · pith_short_8: IOQEUXXD

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/IOQEUXXDDLJZPPNA56NWNLY6EB \
  | 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: 43a04a5ee31ad397bda0ef9b66af1e2048e52a1fdd1c3d8570b137d9e50846d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c268b4a5dd9c8d929981f7b14acfb3e3d1fbbc9f535864ebe259e13ea350457",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-06T11:25:16Z",
    "title_canon_sha256": "2ce2b48d4f4af7cdebdc715b8953c60bc00c6bc1750d7eb07916fac4e4d6e45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02736",
    "kind": "arxiv",
    "version": 3
  }
}