Pith Number

pith:DW7GDKKN

pith:2019:DW7GDKKNZ7NOLOGAAGLCKN4LGH

not attested not anchored not stored refs pending

The Fuglede conjecture holds in $\mathbb{Z}^3_5$

Philipp Birklbauer

arxiv:1902.01916 v1 · 2019-02-05 · math.CA · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW7GDKKNZ7NOLOGAAGLCKN4LGH}

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	2026-05-17T23:54:38.426334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbe61a94dcfdae5b8c0019625378b31e81126a3e2ddd431c2bdd3fb299887c3

Aliases

arxiv: 1902.01916 · arxiv_version: 1902.01916v1 · doi: 10.48550/arxiv.1902.01916 · pith_short_12: DW7GDKKNZ7NO · pith_short_16: DW7GDKKNZ7NOLOGA · pith_short_8: DW7GDKKN

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/DW7GDKKNZ7NOLOGAAGLCKN4LGH \
  | 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: 1dbe61a94dcfdae5b8c0019625378b31e81126a3e2ddd431c2bdd3fb299887c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1aafe9eb63749e66f2083c27adea2b79af4283e6f6644078dca1458d2f3006d",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-05T21:21:46Z",
    "title_canon_sha256": "94f95cf7f394375144ac607f489d003374b9a0880d8d0ade8a21f1e7761b41a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01916",
    "kind": "arxiv",
    "version": 1
  }
}