Pith Number

pith:LROU275A

pith:2009:LROU275A46NU4ZJRFFZG23KLIZ

not attested not anchored not stored refs pending

Diophantine properties of IETs and general systems: Quantitative proximality and connectivity

Jon Chaika, Michael Boshernitzan

arxiv:0910.5422 v2 · 2009-10-28 · math.DS · 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{LROU275A46NU4ZJRFFZG23KLIZ}

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	2026-05-18T03:44:36.555415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5d4d7fa0e79b4e653129726d6d4b4675f70141532c713671240adbef7435c0

Aliases

arxiv: 0910.5422 · arxiv_version: 0910.5422v2 · doi: 10.48550/arxiv.0910.5422 · pith_short_12: LROU275A46NU · pith_short_16: LROU275A46NU4ZJR · pith_short_8: LROU275A

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/LROU275A46NU4ZJRFFZG23KLIZ \
  | 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: 5c5d4d7fa0e79b4e653129726d6d4b4675f70141532c713671240adbef7435c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1f018868f15ca83c4b660a541fcc85c8d86944df4be7f0d5e8010389f37362",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-10-28T16:36:17Z",
    "title_canon_sha256": "7f8b0f0f441db07f4268b2674be42e7f3d4d12e72e6b15b0b2fb32ebc5ac48bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5422",
    "kind": "arxiv",
    "version": 2
  }
}