Pith Number

pith:YBIJGEVC

pith:2021:YBIJGEVCKOAJNU7EZTRK7TTPM7

not attested not anchored not stored refs pending

Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra

Carlos Gustavo Moreira, Carlos Matheus, Mark Pollicott, Polina Vytnova

arxiv:2106.06572 v2 · 2021-06-11 · math.NT · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBIJGEVCKOAJNU7EZTRK7TTPM7}

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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

Concentration of dimension in the Lagrange spectrum

Receipt and verification

First computed	2026-07-05T04:52:24.635901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0509312a2538096d3e4cce2afce6f67dc8eb6e3d670a1ad8e7f92671751b6fb

Aliases

arxiv: 2106.06572 · arxiv_version: 2106.06572v2 · doi: 10.48550/arxiv.2106.06572 · pith_short_12: YBIJGEVCKOAJ · pith_short_16: YBIJGEVCKOAJNU7E · pith_short_8: YBIJGEVC

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/YBIJGEVCKOAJNU7EZTRK7TTPM7 \
  | 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: c0509312a2538096d3e4cce2afce6f67dc8eb6e3d670a1ad8e7f92671751b6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82efeefa794b459fa65b185e4afd407480f112acbfdcbe5328cd9adcfe4f6c0c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-06-11T18:47:33Z",
    "title_canon_sha256": "5adac96b67ee6e2136d68e67e212d13d43a9a2ef1d6f189cd060d10e885d92e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06572",
    "kind": "arxiv",
    "version": 2
  }
}