Pith Number

pith:P5SGGTWY

pith:2012:P5SGGTWYMJ547B3ZRY2VPLWJFT

not attested not anchored not stored refs pending

On the Non-existence of Lattice Tilings by Quasi-crosses

Moshe Schwartz

arxiv:1211.0658 v1 · 2012-11-04 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5SGGTWYMJ547B3ZRY2VPLWJFT}

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	2026-05-18T03:41:32.878963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f64634ed8627bcf87798e3557aec92ce15073c5d07de486f4b809455e6752e2

Aliases

arxiv: 1211.0658 · arxiv_version: 1211.0658v1 · doi: 10.48550/arxiv.1211.0658 · pith_short_12: P5SGGTWYMJ54 · pith_short_16: P5SGGTWYMJ547B3Z · pith_short_8: P5SGGTWY

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/P5SGGTWYMJ547B3ZRY2VPLWJFT \
  | 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: 7f64634ed8627bcf87798e3557aec92ce15073c5d07de486f4b809455e6752e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab46df1c28a1eaa9522ac76893d99d0adb9219aba0f24f05d6ab46a08443efb4",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-04T04:03:00Z",
    "title_canon_sha256": "6e47146d874292b5ba35db57ac1beb3c1d08045e45f1e5c7fdfb6cac91111461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0658",
    "kind": "arxiv",
    "version": 1
  }
}