Pith Number

pith:LUVS4I2N

pith:2024:LUVS4I2NSRZNHHZUDNDR63F7MX

not attested not anchored not stored refs pending

Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer

Manuel Hauke, Sanju Velani, Victor Beresnevich

arxiv:2406.19198 v1 · 2024-06-27 · math.NT · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUVS4I2NSRZNHHZUDNDR63F7MX}

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

3 papers in Pith

The inhomogeneous Khintchine Theorem in dimension two

Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Receipt and verification

First computed	2026-07-05T08:37:31.512955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2b2e234d9472d39f341b471f6cbf65d7ddd1491a50c05bb27bb23aa9fc01c5

Aliases

arxiv: 2406.19198 · arxiv_version: 2406.19198v1 · doi: 10.48550/arxiv.2406.19198 · pith_short_12: LUVS4I2NSRZN · pith_short_16: LUVS4I2NSRZNHHZU · pith_short_8: LUVS4I2N

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/LUVS4I2NSRZNHHZUDNDR63F7MX \
  | 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: 5d2b2e234d9472d39f341b471f6cbf65d7ddd1491a50c05bb27bb23aa9fc01c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2bc7e6c3ace15df1e1e065531a901e099ad72b0e9c6326381d73790f4a1331",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-27T14:15:56Z",
    "title_canon_sha256": "911d167751e789fb1593b460a9824b4a4ca48aaf9967cd76a5c428412d22a784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19198",
    "kind": "arxiv",
    "version": 1
  }
}