Pith Number

pith:VREXMW3P

pith:2009:VREXMW3PIM5JAJKIKIXT5NZX6G

not attested not anchored not stored refs pending

Shrinking targets for IETs: Extending a theorem of Kurzweil

Jon Chaika

arxiv:0910.2694 v2 · 2009-10-14 · 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{VREXMW3PIM5JAJKIKIXT5NZX6G}

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	2026-05-18T04:24:36.380472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac49765b6f433a902548522f3eb737f1a91670e75b7f95a726620b9371d527e9

Aliases

arxiv: 0910.2694 · arxiv_version: 0910.2694v2 · doi: 10.48550/arxiv.0910.2694 · pith_short_12: VREXMW3PIM5J · pith_short_16: VREXMW3PIM5JAJKI · pith_short_8: VREXMW3P

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/VREXMW3PIM5JAJKIKIXT5NZX6G \
  | 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: ac49765b6f433a902548522f3eb737f1a91670e75b7f95a726620b9371d527e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c62895a77692264fc316cd502b499a33a9df434ae0872766ee5f10116c71023",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-10-14T19:29:27Z",
    "title_canon_sha256": "96c7334614d6a6f4301dd97d6ec99f62031b28de3ce3fb176b3911084fc101bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2694",
    "kind": "arxiv",
    "version": 2
  }
}