Pith Number

pith:44V4JSQQ

pith:2023:44V4JSQQXEQCJMBC3NK563HDEJ

not attested not anchored not stored refs pending

Dry Ten Martini Problem in the non-critical case

Artur Avila, Jiangong You, Qi Zhou

arxiv:2306.16254 v2 · 2023-06-28 · math-ph · math.DS · math.MP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44V4JSQQXEQCJMBC3NK563HDEJ}

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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

5 papers in Pith

Cantor Spectrum via a Reducibility-Duality Bridge for the Mosaic Almost Mathieu Operator

Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators

Monotonicity, global symplectification and the stability of Dry Ten Martini Problem

Generalized Aubry-Andr\'e formula and continuity of the intersection spectrum of the Almost Mathieu operator

From generating functions to the geometric Binder cumulant

Receipt and verification

First computed	2026-07-05T08:35:35.737190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72bc4ca10b92024b022db55df6ce322720b4ef0a0d23ac6b0a7983837eb14e9

Aliases

arxiv: 2306.16254 · arxiv_version: 2306.16254v2 · doi: 10.48550/arxiv.2306.16254 · pith_short_12: 44V4JSQQXEQC · pith_short_16: 44V4JSQQXEQCJMBC · pith_short_8: 44V4JSQQ

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/44V4JSQQXEQCJMBC3NK563HDEJ \
  | 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: e72bc4ca10b92024b022db55df6ce322720b4ef0a0d23ac6b0a7983837eb14e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12abba16fadafb816122e3d18c0a30c9175c1f199f0c0ef7af4b59314375b965",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-06-28T14:28:37Z",
    "title_canon_sha256": "386863d3f07c226ff3944535150622e56c570846dbbae038f3d86409568e5a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.16254",
    "kind": "arxiv",
    "version": 2
  }
}