Pith Number

pith:2IXZZF7W

pith:2024:2IXZZF7WXWUQ3C26MKGIWC4ZUN

not attested not anchored not stored refs pending

Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers

Bo Tan, Qing-Long Zhou

arxiv:2409.03331 v1 · 2024-09-05 · 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{2IXZZF7WXWUQ3C26MKGIWC4ZUN}

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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

Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets

Receipt and verification

First computed	2026-07-05T09:03:29.750327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22f9c97f6bda90d8b5e628c8b0b99a347c47cc3303604abfff2f8321ba3c586

Aliases

arxiv: 2409.03331 · arxiv_version: 2409.03331v1 · doi: 10.48550/arxiv.2409.03331 · pith_short_12: 2IXZZF7WXWUQ · pith_short_16: 2IXZZF7WXWUQ3C26 · pith_short_8: 2IXZZF7W

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/2IXZZF7WXWUQ3C26MKGIWC4ZUN \
  | 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: d22f9c97f6bda90d8b5e628c8b0b99a347c47cc3303604abfff2f8321ba3c586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5128674ff0e20dc2a58e82c6c1a468e9c3b40e7b200b6543d789325459e638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-05T08:10:32Z",
    "title_canon_sha256": "1027b3ec1f45d8ac86a0af45f0804e7e5a0bd3319561fefaab0d86b339e8b6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03331",
    "kind": "arxiv",
    "version": 1
  }
}