Pith Number

pith:2M4W43DB

pith:2012:2M4W43DBYW5NE4P2WAQ5DXKL5X

not attested not anchored not stored refs pending

Purely periodic expansions in systems with negative base

Edita Pelantov\'a, Zuzana Mas\'akov\'a

arxiv:1202.1948 v1 · 2012-02-09 · 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{2M4W43DBYW5NE4P2WAQ5DXKL5X}

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	2026-05-18T04:02:38.693484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3396e6c61c5bad271fab021d1dd4bede945b9b11c934c422f24385cbb6b5478

Aliases

arxiv: 1202.1948 · arxiv_version: 1202.1948v1 · doi: 10.48550/arxiv.1202.1948 · pith_short_12: 2M4W43DBYW5N · pith_short_16: 2M4W43DBYW5NE4P2 · pith_short_8: 2M4W43DB

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/2M4W43DBYW5NE4P2WAQ5DXKL5X \
  | 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: d3396e6c61c5bad271fab021d1dd4bede945b9b11c934c422f24385cbb6b5478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2d2cacb6596a7c60595522e71179e81b022f2134a6548bde66458f626c224d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-09T11:02:29Z",
    "title_canon_sha256": "02cc580b80bca05a871eb7eeb5fb1e4fa4ead8ac5744aea94b5e8742513f70fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1948",
    "kind": "arxiv",
    "version": 1
  }
}