Pith Number

pith:KLBLA4OL

pith:2025:KLBLA4OLX3PGWMNKHK4CFJ6GRF

not attested not anchored not stored refs pending

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

Manuel Hauke

arxiv:2505.08901 v1 · 2025-05-13 · 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{KLBLA4OLX3PGWMNKHK4CFJ6GRF}

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.

Receipt and verification

First computed	2026-07-05T11:02:46.822174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c2b071cbbede6b31aa3ab822a7c6896cbceffccfd8233d40f81be1d7c3216a

Aliases

arxiv: 2505.08901 · arxiv_version: 2505.08901v1 · doi: 10.48550/arxiv.2505.08901 · pith_short_12: KLBLA4OLX3PG · pith_short_16: KLBLA4OLX3PGWMNK · pith_short_8: KLBLA4OL

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/KLBLA4OLX3PGWMNKHK4CFJ6GRF \
  | 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: 52c2b071cbbede6b31aa3ab822a7c6896cbceffccfd8233d40f81be1d7c3216a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e33b9389795acc67df17b34c69436ac58ca387f8cfcf0e3c439bb45cb241f2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-13T18:44:12Z",
    "title_canon_sha256": "d88c00b03a7822b9567527206d8b8513f71a6a4a52bbf39dc9e1c75619a3798a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08901",
    "kind": "arxiv",
    "version": 1
  }
}