Pith Number

pith:JZY2HVAT

pith:2008:JZY2HVATEEOWPL4MUH4JYLZPVE

not attested not anchored not stored refs pending

Modified Schmidt games and Diophantine approximation with weights

Barak Weiss, Dmitry Kleinbock

arxiv:0805.2934 v2 · 2008-05-19 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZY2HVATEEOWPL4MUH4JYLZPVE}

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	2026-05-18T04:20:22.493014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e71a3d413211d67af8ca1f89c2f2fa9121c8fcb0e57c04c10a519d64f251d55

Aliases

arxiv: 0805.2934 · arxiv_version: 0805.2934v2 · doi: 10.48550/arxiv.0805.2934 · pith_short_12: JZY2HVATEEOW · pith_short_16: JZY2HVATEEOWPL4M · pith_short_8: JZY2HVAT

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/JZY2HVATEEOWPL4MUH4JYLZPVE \
  | 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: 4e71a3d413211d67af8ca1f89c2f2fa9121c8fcb0e57c04c10a519d64f251d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1beb1b34256f0e28da112787579f0e42cb93b92572fab7ca395d05a1c071867e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-19T19:31:44Z",
    "title_canon_sha256": "b2f882f614a4573c64af6640bf730ee7c9ebd430a25f05480447e523f9da6309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2934",
    "kind": "arxiv",
    "version": 2
  }
}