Pith Number

pith:BZ63OTM6

pith:2009:BZ63OTM6XGUVHHV62UNP4ABI7Y

not attested not anchored not stored refs pending

An equivalent of Kronecker's Theorem for powers of an Algebraic Number and Structure of Linear Recurrences of fixed length

Maurizio Monge, Nevio Dubbini

arxiv:0910.5182 v3 · 2009-10-27 · 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{BZ63OTM6XGUVHHV62UNP4ABI7Y}

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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	2026-05-18T04:10:57.316532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7db74d9eb9a9539ebed51afe0028fe14e8190ea77018f52adc9aa6ff1799db

Aliases

arxiv: 0910.5182 · arxiv_version: 0910.5182v3 · doi: 10.48550/arxiv.0910.5182 · pith_short_12: BZ63OTM6XGUV · pith_short_16: BZ63OTM6XGUVHHV6 · pith_short_8: BZ63OTM6

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/BZ63OTM6XGUVHHV62UNP4ABI7Y \
  | 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: 0e7db74d9eb9a9539ebed51afe0028fe14e8190ea77018f52adc9aa6ff1799db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c704408829c812d6f8ec1c14aba3c947909626064143dde7be74115495e691b9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-27T17:21:47Z",
    "title_canon_sha256": "6763b4a2bc88e452797fd15ff99a86efda30d7f38a3934411794fb8025d5428a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5182",
    "kind": "arxiv",
    "version": 3
  }
}