Pith Number

pith:XVZKZWWQ

pith:2015:XVZKZWWQYR3L5HI5CKH5NOLQNN

not attested not anchored not stored refs pending

The Fuglede Conjecture holds in ${\Bbb Z}_p \times {\Bbb Z}_p$

Alex Iosevich, Azita Mayeli, Jonathan Pakianathan

arxiv:1505.00883 v1 · 2015-05-05 · 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{XVZKZWWQYR3L5HI5CKH5NOLQNN}

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	2026-05-18T00:42:33.488610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd72acdad0c476be9d1d128fd6b9706b79be069378743f44174cacfd6bdf9000

Aliases

arxiv: 1505.00883 · arxiv_version: 1505.00883v1 · doi: 10.48550/arxiv.1505.00883 · pith_short_12: XVZKZWWQYR3L · pith_short_16: XVZKZWWQYR3L5HI5 · pith_short_8: XVZKZWWQ

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/XVZKZWWQYR3L5HI5CKH5NOLQNN \
  | 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: bd72acdad0c476be9d1d128fd6b9706b79be069378743f44174cacfd6bdf9000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8217204d16c99d194fad9a50b9faba21d25c3405e95c2504a8b65d7fa08008b",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-05T05:24:44Z",
    "title_canon_sha256": "c1864ca0b33a9a3e7698956103331e6b324bcca5cc7b47eeb347ed06eb25dcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00883",
    "kind": "arxiv",
    "version": 1
  }
}