Pith Number

pith:JW6I4HGW

pith:2023:JW6I4HGWEIGN7XVYKADNBPTE4R

not attested not anchored not stored refs pending

Undecidability of translational monotilings

Rachel Greenfeld, Terence Tao

arxiv:2309.09504 v2 · 2023-09-18 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW6I4HGWEIGN7XVYKADNBPTE4R}

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	2026-07-05T07:04:50.581520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dbc8e1cd6220cdfdeb85006d0be64e45e7d2f9030f6b1f061185e302c136e4f

Aliases

arxiv: 2309.09504 · arxiv_version: 2309.09504v2 · doi: 10.48550/arxiv.2309.09504 · pith_short_12: JW6I4HGWEIGN · pith_short_16: JW6I4HGWEIGN7XVY · pith_short_8: JW6I4HGW

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/JW6I4HGWEIGN7XVYKADNBPTE4R \
  | 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: 4dbc8e1cd6220cdfdeb85006d0be64e45e7d2f9030f6b1f061185e302c136e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc1ad512719316bd1b56bda33043f8fd801ee9550d2d5c43515f7307a0cc237",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-18T06:19:40Z",
    "title_canon_sha256": "ec10981b187fd9bd58c9731275c2dca439e061ab710ca2f8c131e4a476ddcc33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09504",
    "kind": "arxiv",
    "version": 2
  }
}