Pith Number

pith:D7A3PTHB

pith:2023:D7A3PTHBIKYJNQ6KNAFW27SSTX

not attested not anchored not stored refs pending

Tilings of the Sphere by Congruent Pentagons IV: Edge Combination $a^4b$

Hoi Ping Luk, Min Yan

arxiv:2307.11453 v3 · 2023-07-21 · 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{D7A3PTHBIKYJNQ6KNAFW27SSTX}

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

3 papers in Pith

Dihedral Tilings of the Sphere by Kites and Regular Polygons

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

Tiling of Hyperbolic Surface by Multiple Tiles

Receipt and verification

First computed	2026-07-05T07:42:41.025585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc1b7cce142b096c3ca680b6d7e529dd0c98fbdce092088a6f0806c0be60cc4

Aliases

arxiv: 2307.11453 · arxiv_version: 2307.11453v3 · doi: 10.48550/arxiv.2307.11453 · pith_short_12: D7A3PTHBIKYJ · pith_short_16: D7A3PTHBIKYJNQ6K · pith_short_8: D7A3PTHB

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/D7A3PTHBIKYJNQ6KNAFW27SSTX \
  | 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: 1fc1b7cce142b096c3ca680b6d7e529dd0c98fbdce092088a6f0806c0be60cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba17ae960de84dde39f943bcd3d04b36b23c0c55c6321c0edcd4fd5c6baab51e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-21T09:35:16Z",
    "title_canon_sha256": "f44313d80df788afad3d77c2192012d3ad7c8022f25cf3a043cda708d9ae1345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11453",
    "kind": "arxiv",
    "version": 3
  }
}