Pith Number

pith:4UGGRY63

pith:2024:4UGGRY63LYJUNVVVEHJNQKPWFH

not attested not anchored not stored refs pending

The Duffin-Schaeffer conjecture with a moving target

Felipe A. Ramirez, Manuel Hauke

arxiv:2407.05344 v1 · 2024-07-07 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UGGRY63LYJUNVVVEHJNQKPWFH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Receipt and verification

First computed	2026-07-05T08:41:11.736161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50c68e3db5e1346d6b521d2d829f629da4d18368b533bb14ff13bec6e620e7c

Aliases

arxiv: 2407.05344 · arxiv_version: 2407.05344v1 · doi: 10.48550/arxiv.2407.05344 · pith_short_12: 4UGGRY63LYJU · pith_short_16: 4UGGRY63LYJUNVVV · pith_short_8: 4UGGRY63

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/4UGGRY63LYJUNVVVEHJNQKPWFH \
  | 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: e50c68e3db5e1346d6b521d2d829f629da4d18368b533bb14ff13bec6e620e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f88c2c888a62b702a7a0fb34732b41792e9f1a38ae994512011844ed7b23f8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-07T12:35:02Z",
    "title_canon_sha256": "19f60fb557a82fa75d103d122c968c68639b5abdebba379265c1c19c21c98241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05344",
    "kind": "arxiv",
    "version": 1
  }
}