Pith Number

pith:M7ZWKOOT

pith:2022:M7ZWKOOTAP5IX6ALNKEWY5MEQM

not attested not anchored not stored refs pending

Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions

Hiroki Takahasi, Yuto Nakajima

arxiv:2209.08318 v3 · 2022-09-17 · math.DS · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7ZWKOOTAP5IX6ALNKEWY5MEQM}

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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.

Cited by

1 paper in Pith

Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics

Receipt and verification

First computed	2026-07-05T08:44:45.066383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f36539d303fa8bf80b6a896c7584833b94cfdf7f02e0956d3df55597622e25

Aliases

arxiv: 2209.08318 · arxiv_version: 2209.08318v3 · doi: 10.48550/arxiv.2209.08318 · pith_short_12: M7ZWKOOTAP5I · pith_short_16: M7ZWKOOTAP5IX6AL · pith_short_8: M7ZWKOOT

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/M7ZWKOOTAP5IX6ALNKEWY5MEQM \
  | 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: 67f36539d303fa8bf80b6a896c7584833b94cfdf7f02e0956d3df55597622e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3802c547c87f248baf85c1e3fb09cab234363334ca3d92f2e8eb12e2a01e51f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-09-17T12:17:27Z",
    "title_canon_sha256": "898392e2c5da22701c1ae2e2b1ad368b15c73b1963116b1ac0af69e3c8ea7b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08318",
    "kind": "arxiv",
    "version": 3
  }
}