Pith Number

pith:2DCVLFLY

pith:2010:2DCVLFLYZQHEYSLNPMEBXH5RJG

not attested not anchored not stored refs pending

Optimal expansions in non-integer bases

Karma Dajani, Martijn de Vries, Paola Loreti, Vilmos Komornik

arxiv:1011.5220 v3 · 2010-11-23 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DCVLFLYZQHEYSLNPMEBXH5RJG}

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	2026-05-18T04:22:02.225951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c5559578cc0e4c496d7b081b9fb149963e692eabe599c8dd0bada5d02201f5

Aliases

arxiv: 1011.5220 · arxiv_version: 1011.5220v3 · doi: 10.48550/arxiv.1011.5220 · pith_short_12: 2DCVLFLYZQHE · pith_short_16: 2DCVLFLYZQHEYSLN · pith_short_8: 2DCVLFLY

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/2DCVLFLYZQHEYSLNPMEBXH5RJG \
  | 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: d0c5559578cc0e4c496d7b081b9fb149963e692eabe599c8dd0bada5d02201f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab793dd439f6a891738392cf31892876ad9df287142f1afda37071168952f40",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-23T20:59:35Z",
    "title_canon_sha256": "602ea31564c3a241df0bc0e3de3e205835754924417782346ce8b063e6a9bddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5220",
    "kind": "arxiv",
    "version": 3
  }
}