Pith Number

pith:XET3XUW3

pith:2012:XET3XUW3HVPFLHC6S4OB77GKPN

not attested not anchored not stored refs pending

A multidimensional continued fraction generalization of Stern's diatomic sequence

Thomas Garrity

arxiv:1206.6685 v2 · 2012-06-28 · math.CO · 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{XET3XUW3HVPFLHC6S4OB77GKPN}

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	2026-05-18T03:13:43.626550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b927bbd2db3d5e559c5e971c1ffcca7b479a59fe82eec644f87f9db39c4227b8

Aliases

arxiv: 1206.6685 · arxiv_version: 1206.6685v2 · doi: 10.48550/arxiv.1206.6685 · pith_short_12: XET3XUW3HVPF · pith_short_16: XET3XUW3HVPFLHC6 · pith_short_8: XET3XUW3

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/XET3XUW3HVPFLHC6S4OB77GKPN \
  | 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: b927bbd2db3d5e559c5e971c1ffcca7b479a59fe82eec644f87f9db39c4227b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e630b99bd3f8c1733e566103b134ca7284ea003795887e29e1a5c8b3ec758dd7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-28T13:38:11Z",
    "title_canon_sha256": "8d4c9161ddabf0a90aa12bef6cfccbc23b5fc258338eaf997ab6199d67ecfd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6685",
    "kind": "arxiv",
    "version": 2
  }
}