Pith Number

pith:ZTLRWIOU

pith:2024:ZTLRWIOUZSCCHCMBALQ5IZFQPV

not attested not anchored not stored refs pending

Undecidability of Translational Tiling with Three Tiles

Chan Yang, Zhujun Zhang

arxiv:2412.10646 v1 · 2024-12-14 · math.CO · cs.CC · 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{ZTLRWIOUZSCCHCMBALQ5IZFQPV}

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 Translational Tiling with 2 Polycubes

Receipt and verification

First computed	2026-07-05T09:49:19.089997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd71b21d4cc8423898102e1d464b07d697d0b2f9d53b272476b27a4e227f161

Aliases

arxiv: 2412.10646 · arxiv_version: 2412.10646v1 · doi: 10.48550/arxiv.2412.10646 · pith_short_12: ZTLRWIOUZSCC · pith_short_16: ZTLRWIOUZSCCHCMB · pith_short_8: ZTLRWIOU

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/ZTLRWIOUZSCCHCMBALQ5IZFQPV \
  | 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: ccd71b21d4cc8423898102e1d464b07d697d0b2f9d53b272476b27a4e227f161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef30888c44d37e2a0e5b5423c555fae26ed3aeaa4841f95ae7915544f9c33c0",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-14T02:23:52Z",
    "title_canon_sha256": "88d5f6557799234fb25d3ae3adc0401972f2deccc0fa71cba2bb487b87e52c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10646",
    "kind": "arxiv",
    "version": 1
  }
}