Pith Number

pith:Z3XY4HZW

pith:2011:Z3XY4HZWFMDJBO3NYGETX3FS5X

not attested not anchored not stored refs pending

An application of Grossone to the study of a family of tilings of the hyperbolic plane

Maurice Margenstern

arxiv:1106.2217 v1 · 2011-06-11 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3XY4HZWFMDJBO3NYGETX3FS5X}

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	2026-05-18T04:20:06.228261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceef8e1f362b0690bb6dc1893becb2edd07c3a0eaf9d2fb97f398bd01a04f5dc

Aliases

arxiv: 1106.2217 · arxiv_version: 1106.2217v1 · doi: 10.48550/arxiv.1106.2217 · pith_short_12: Z3XY4HZWFMDJ · pith_short_16: Z3XY4HZWFMDJBO3N · pith_short_8: Z3XY4HZW

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/Z3XY4HZWFMDJBO3NYGETX3FS5X \
  | 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: ceef8e1f362b0690bb6dc1893becb2edd07c3a0eaf9d2fb97f398bd01a04f5dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62cad9ae1cb1682d4f7a0f93a88bef0f827ddf8b9adc5ad5ff846e79c6a2c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-11T08:04:41Z",
    "title_canon_sha256": "ea39543eac1fcf670a09021b87a8a56c2959f3c6472d5825df2d018d9aeef033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2217",
    "kind": "arxiv",
    "version": 1
  }
}