Pith Number

pith:F7P56LJ3

pith:2012:F7P56LJ3Y5SA2EXV6HBC5LCTL2

not attested not anchored not stored refs pending

Combinatorial Tilings of the Sphere by Pentagons

Min Yan

arxiv:1209.0315 v6 · 2012-09-03 · 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{F7P56LJ3Y5SA2EXV6HBC5LCTL2}

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	2026-05-18T02:52:12.888345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdfdf2d3bc7640d12f5f1c22eac535e8994c93c5cb8e368b003b74eec13da9a

Aliases

arxiv: 1209.0315 · arxiv_version: 1209.0315v6 · doi: 10.48550/arxiv.1209.0315 · pith_short_12: F7P56LJ3Y5SA · pith_short_16: F7P56LJ3Y5SA2EXV · pith_short_8: F7P56LJ3

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/F7P56LJ3Y5SA2EXV6HBC5LCTL2 \
  | 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: 2fdfdf2d3bc7640d12f5f1c22eac535e8994c93c5cb8e368b003b74eec13da9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7f3ebacbb2b0be6e9111f288110d43638d92f3b2a2b5fd81642a54387dca64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-03T11:46:24Z",
    "title_canon_sha256": "2503a3e6f419c2a8170afa5cca34fefe211c7313bf98b66a3dd748b596a3cf7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0315",
    "kind": "arxiv",
    "version": 6
  }
}