Pith Number

pith:T5FFE2HB

pith:2024:T5FFE2HBDEPCY42SWGBO67D5WA

not attested not anchored not stored refs pending

The Duffin-Schaeffer Conjecture for multiplicative Diophantine approximation

Lorenz Fr\"uhwirth, Manuel Hauke

arxiv:2403.11257 v1 · 2024-03-17 · 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{T5FFE2HBDEPCY42SWGBO67D5WA}

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

A century of metric Diophantine approximation and half a decade since Koukoulopoulos-Maynard

Receipt and verification

First computed	2026-07-05T07:57:14.117023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4a5268e1191e2c7352b182ef7c7db02e45d3382c188e4541b6f1f62f6b8165

Aliases

arxiv: 2403.11257 · arxiv_version: 2403.11257v1 · doi: 10.48550/arxiv.2403.11257 · pith_short_12: T5FFE2HBDEPC · pith_short_16: T5FFE2HBDEPCY42S · pith_short_8: T5FFE2HB

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/T5FFE2HBDEPCY42SWGBO67D5WA \
  | 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: 9f4a5268e1191e2c7352b182ef7c7db02e45d3382c188e4541b6f1f62f6b8165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c9ac83009f086067dfbd6d97e6e4a48b58fe9e7acbc65bcf24d224b7c9a84c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-17T16:20:36Z",
    "title_canon_sha256": "ad77d86f2da02fab7a6565afa0040b0f1e77f7a35cd36b225055ae02687588b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.11257",
    "kind": "arxiv",
    "version": 1
  }
}