Pith Number

pith:KX4DAOVY

pith:2025:KX4DAOVYQK6QN2ZTIOG26DZD2Y

not attested not anchored not stored refs pending

A critical majorant for the Khinchin-Ostrowski property

Bartosz Malman

arxiv:2506.06911 v1 · 2025-06-07 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX4DAOVYQK6QN2ZTIOG26DZD2Y}

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	2026-07-05T11:17:57.943521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f8303ab882bd06eb33438daf0f23d609bd0b960976457a4c5905a52dc988a6

Aliases

arxiv: 2506.06911 · arxiv_version: 2506.06911v1 · doi: 10.48550/arxiv.2506.06911 · pith_short_12: KX4DAOVYQK6Q · pith_short_16: KX4DAOVYQK6QN2ZT · pith_short_8: KX4DAOVY

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/KX4DAOVYQK6QN2ZTIOG26DZD2Y \
  | 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: 55f8303ab882bd06eb33438daf0f23d609bd0b960976457a4c5905a52dc988a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1940844db452c52ebd909f1056198291e13a608bb5bf81692263dd6049646f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-06-07T20:18:41Z",
    "title_canon_sha256": "c79aac5697000ab19ee30124bd112d72eaa4950a49c99360745c61df1addecec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06911",
    "kind": "arxiv",
    "version": 1
  }
}