Pith Number

pith:BR434QB4

pith:2025:BR434QB4BLARU7KDIYXANCEYUA

not attested not anchored not stored refs pending

General Duffin--Schaeffer-type counterexamples in diophantine approximation

Andrew Pollington, Felipe A. Ram\'irez, Manuel Hauke, Sam Chow

arxiv:2504.16565 v1 · 2025-04-23 · 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{BR434QB4BLARU7KDIYXANCEYUA}

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

2 papers in Pith

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Receipt and verification

First computed	2026-07-05T10:53:01.621145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c79be403c0ac11a7d43462e068898a01d59c2b9a2315b2a34f13ab453545907

Aliases

arxiv: 2504.16565 · arxiv_version: 2504.16565v1 · doi: 10.48550/arxiv.2504.16565 · pith_short_12: BR434QB4BLAR · pith_short_16: BR434QB4BLARU7KD · pith_short_8: BR434QB4

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/BR434QB4BLARU7KDIYXANCEYUA \
  | 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: 0c79be403c0ac11a7d43462e068898a01d59c2b9a2315b2a34f13ab453545907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53457e2d6b1dbe6e8fa2d33966c8c035bbaadb4cb7cc3fac4bc6c25ea4ac3dbd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-23T09:45:10Z",
    "title_canon_sha256": "a6cee439f65a252f08b608bf2075ba407e85d79e9505f9b4f362d1749c138832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16565",
    "kind": "arxiv",
    "version": 1
  }
}