Pith Number

pith:NPXVPOXO

pith:2024:NPXVPOXO5ALYDEGPXXKDQFEGJO

not attested not anchored not stored refs pending

Tiling with Three Polygons is Undecidable

Erik D. Demaine, Stefan Langerman

arxiv:2409.11582 v1 · 2024-09-17 · cs.CG · 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{NPXVPOXO5ALYDEGPXXKDQFEGJO}

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

1 paper in Pith

Undecidability of Tiling the Plane with a Set of 5 Polyominoes

Receipt and verification

First computed	2026-07-05T09:08:34.016239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bef57baeee8178190cfbdd43814864baa9d2260fdaeb29a9be7f8fa271b666d

Aliases

arxiv: 2409.11582 · arxiv_version: 2409.11582v1 · doi: 10.48550/arxiv.2409.11582 · pith_short_12: NPXVPOXO5ALY · pith_short_16: NPXVPOXO5ALYDEGP · pith_short_8: NPXVPOXO

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/NPXVPOXO5ALYDEGPXXKDQFEGJO \
  | 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: 6bef57baeee8178190cfbdd43814864baa9d2260fdaeb29a9be7f8fa271b666d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d28a0bf1f81f64087d8b47ab93e44c6ec72536c28bdeef93e4b874a34c8937",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2024-09-17T22:16:19Z",
    "title_canon_sha256": "e2b2c0a12141129ba27c64bb7d024b5be7c4aa6226bb3cd8e4e3fac097b275cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11582",
    "kind": "arxiv",
    "version": 1
  }
}