Pith Number

pith:W43EDQQI

pith:2010:W43EDQQIJ5PK42Y2KMLGNHW7UH

not attested not anchored not stored refs pending

On the number of summands in Zeckendorf decompositions

Gene Kopp, Murat Kologlu, Steven J. Miller, Yinghui Wang

arxiv:1008.3204 v1 · 2010-08-19 · 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{W43EDQQIJ5PK42Y2KMLGNHW7UH}

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	2026-05-18T04:42:03.135628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73641c2084f5eae6b1a5316669edfa1f36ece04ab69b403844ed1b70f45fbba

Aliases

arxiv: 1008.3204 · arxiv_version: 1008.3204v1 · doi: 10.48550/arxiv.1008.3204 · pith_short_12: W43EDQQIJ5PK · pith_short_16: W43EDQQIJ5PK42Y2 · pith_short_8: W43EDQQI

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/W43EDQQIJ5PK42Y2KMLGNHW7UH \
  | 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: b73641c2084f5eae6b1a5316669edfa1f36ece04ab69b403844ed1b70f45fbba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58fc35c41945807f16b473accb743084ab110f6ea987db46ef591d98324fc110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-19T03:00:51Z",
    "title_canon_sha256": "927310da03ba649564ba43db9655bcfb41d3dd5ba187af5482671ebba1e7500f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3204",
    "kind": "arxiv",
    "version": 1
  }
}