Pith Number

pith:PJLLKMVP

pith:2013:PJLLKMVPZROGSM4AAC2YVSLKLD

not attested not anchored not stored refs pending

Tilings of the Sphere by Edge Congruent Pentagons

Ho Man Cheung, Ka Yue Cheuk, Min Yan

arxiv:1301.0677 v2 · 2013-01-04 · math.MG · 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{PJLLKMVPZROGSM4AAC2YVSLKLD}

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	2026-05-18T03:28:05.207402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a56b532afcc5c69338000b58ac96a58ee1901c05503f995b19f09dce9c2bca0

Aliases

arxiv: 1301.0677 · arxiv_version: 1301.0677v2 · doi: 10.48550/arxiv.1301.0677 · pith_short_12: PJLLKMVPZROG · pith_short_16: PJLLKMVPZROGSM4A · pith_short_8: PJLLKMVP

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/PJLLKMVPZROGSM4AAC2YVSLKLD \
  | 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: 7a56b532afcc5c69338000b58ac96a58ee1901c05503f995b19f09dce9c2bca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0569110c6624c0c003cbc1603402df05360dcedddfe2795b012eca786d836a5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-04T06:05:21Z",
    "title_canon_sha256": "dcd7b70c3f43a924fa0e36c34c26ccbfd28c2d0a0e0582d1820701d88b72343b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0677",
    "kind": "arxiv",
    "version": 2
  }
}