Pith Number

pith:MKVCKLIH

pith:2018:MKVCKLIHWOVA3I43IHLQJAX5EC

not attested not anchored not stored refs pending

Fractal geometry of the complement of Lagrange spectrum in Markov spectrum

Carlos Gustavo Moreira, Carlos Matheus

arxiv:1803.01230 v2 · 2018-03-03 · math.NT

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\usepackage{pith}
\pithnumber{MKVCKLIHWOVA3I43IHLQJAX5EC}

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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

Approximation of the Lagrange and Markov spectra

Receipt and verification

First computed	2026-07-05T00:09:23.127146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62aa252d07b3aa0da39b41d70482fd20aea6ca6892bb3a19d05f85b04d973d9d

Aliases

arxiv: 1803.01230 · arxiv_version: 1803.01230v2 · doi: 10.48550/arxiv.1803.01230 · pith_short_12: MKVCKLIHWOVA · pith_short_16: MKVCKLIHWOVA3I43 · pith_short_8: MKVCKLIH

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/MKVCKLIHWOVA3I43IHLQJAX5EC \
  | 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: 62aa252d07b3aa0da39b41d70482fd20aea6ca6892bb3a19d05f85b04d973d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e02293721b187812aaf9ca879897e374e890298b0a15bb63c97b98332ab2ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-03T20:22:59Z",
    "title_canon_sha256": "29d8824437c537e1bb9db0b7f4c860b94d324960c119cae76c25da2b3df12656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01230",
    "kind": "arxiv",
    "version": 2
  }
}