Pith Number

pith:L26YKUH4

pith:2015:L26YKUH4QMDJL5FR6DTN6MLP3L

not attested not anchored not stored refs pending

The random continued fraction transformation

Charlene Kalle, Evgeny Verbitskiy, Tom Kempton

arxiv:1507.05782 v1 · 2015-07-21 · 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{L26YKUH4QMDJL5FR6DTN6MLP3L}

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	2026-05-18T01:36:32.458358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ebd8550fc830695f4b1f0e6df316fdacee200a23435cf8c348f8cfc62addd8a

Aliases

arxiv: 1507.05782 · arxiv_version: 1507.05782v1 · doi: 10.48550/arxiv.1507.05782 · pith_short_12: L26YKUH4QMDJ · pith_short_16: L26YKUH4QMDJL5FR · pith_short_8: L26YKUH4

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/L26YKUH4QMDJL5FR6DTN6MLP3L \
  | 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: 5ebd8550fc830695f4b1f0e6df316fdacee200a23435cf8c348f8cfc62addd8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333378e70e4bda2216cc63b29caafcc998339f2784df0fe604ba0c7a2b647a00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-21T10:53:58Z",
    "title_canon_sha256": "ddd6c207b095c443135359551055ebcae9d1caf73919eef90617655285fddf7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05782",
    "kind": "arxiv",
    "version": 1
  }
}