Pith Number

pith:7WOMIDGZ

pith:2024:7WOMIDGZJ7JBKKZOGFZRSQHMGW

not attested not anchored not stored refs pending

Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes

Chao Yang, Zhujun Zhang

arxiv:2408.02196 v1 · 2024-08-05 · math.CO · cs.CC · 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{7WOMIDGZJ7JBKKZOGFZRSQHMGW}

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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 Translational Tiling of the Plane with Orthogonally Convex Polyominoes

Receipt and verification

First computed	2026-07-05T11:25:03.445066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9cc40cd94fd2152b2e31731940ec35bd99e477edd8bb6c5888f2976a7a974f

Aliases

arxiv: 2408.02196 · arxiv_version: 2408.02196v1 · doi: 10.48550/arxiv.2408.02196 · pith_short_12: 7WOMIDGZJ7JB · pith_short_16: 7WOMIDGZJ7JBKKZO · pith_short_8: 7WOMIDGZ

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/7WOMIDGZJ7JBKKZOGFZRSQHMGW \
  | 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: fd9cc40cd94fd2152b2e31731940ec35bd99e477edd8bb6c5888f2976a7a974f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c7ab7a285128bde9eea6e88a8d957307e4cf70c2c522aeacc8c9f4629efaa1",
    "cross_cats_sorted": [
      "cs.CC",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-05T02:45:00Z",
    "title_canon_sha256": "f3ac3eefa29380740d9577c393e4863b33df3e51c943e1ba524e1e3ecd7966fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02196",
    "kind": "arxiv",
    "version": 1
  }
}