Pith Number

pith:6PQSE777

pith:2010:6PQSE777QLUJWVXC7WXNM4WZJA

not attested not anchored not stored refs pending

Natural extensions and entropy of $\alpha$-continued fractions

Cor Kraaikamp, Thomas A. Schmidt, Wolfgang Steiner (LIAFA)

arxiv:1011.4283 v3 · 2010-11-18 · math.DS · 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{6PQSE777QLUJWVXC7WXNM4WZJA}

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	2026-05-18T03:51:58.772925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e1227fff82e89b56e2fdaed672d9482a9eab250fd251fa940f23069ddc1c25

Aliases

arxiv: 1011.4283 · arxiv_version: 1011.4283v3 · doi: 10.48550/arxiv.1011.4283 · pith_short_12: 6PQSE777QLUJ · pith_short_16: 6PQSE777QLUJWVXC · pith_short_8: 6PQSE777

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/6PQSE777QLUJWVXC7WXNM4WZJA \
  | 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: f3e1227fff82e89b56e2fdaed672d9482a9eab250fd251fa940f23069ddc1c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45862a2e63c28e42bc7e85f3834bc34507ddfc9b44318233729611b586cce7ff",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-18T20:43:50Z",
    "title_canon_sha256": "42811d616151c190f4b672454482237855f830e908e1268305c9f0826cbaa0c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4283",
    "kind": "arxiv",
    "version": 3
  }
}