Pith Number

pith:63FURIMD

pith:2015:63FURIMDE5HHVZSD4D3H6HOKPE

not attested not anchored not stored refs pending

Normality in Pisot Numeration Systems

Adrian-Maria Scheerer

arxiv:1503.08047 v1 · 2015-03-27 · 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{63FURIMDE5HHVZSD4D3H6HOKPE}

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	2026-05-18T01:34:23.930698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6cb48a183274e7ae643e0f67f1dca792e3752067c4d7bea5d1a1c8171e1b759

Aliases

arxiv: 1503.08047 · arxiv_version: 1503.08047v1 · doi: 10.48550/arxiv.1503.08047 · pith_short_12: 63FURIMDE5HH · pith_short_16: 63FURIMDE5HHVZSD · pith_short_8: 63FURIMD

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/63FURIMDE5HHVZSD4D3H6HOKPE \
  | 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: f6cb48a183274e7ae643e0f67f1dca792e3752067c4d7bea5d1a1c8171e1b759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740c8eefd7ca5468ce5ce162eebb2f0342ce47ceecd637c059eaba0136eff056",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-27T12:25:31Z",
    "title_canon_sha256": "415829b615448071dc861fec5846a8a39753938618c33e90cb5fa80b7aaeb31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08047",
    "kind": "arxiv",
    "version": 1
  }
}