Pith Number

pith:CG2G2RDY

pith:2012:CG2G2RDYUK2HUPGNGV53AEVHZC

not attested not anchored not stored refs pending

Badly approximable vectors on a vertical Cantor set

Erez Nesharim

arxiv:1204.0110 v4 · 2012-03-31 · 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{CG2G2RDYUK2HUPGNGV53AEVHZC}

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	2026-05-18T03:19:01.793673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b46d4478a2b47a3ccd357bb012a7c8913e11d3076aa1fa1af452301115af29

Aliases

arxiv: 1204.0110 · arxiv_version: 1204.0110v4 · doi: 10.48550/arxiv.1204.0110 · pith_short_12: CG2G2RDYUK2H · pith_short_16: CG2G2RDYUK2HUPGN · pith_short_8: CG2G2RDY

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/CG2G2RDYUK2HUPGNGV53AEVHZC \
  | 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: 11b46d4478a2b47a3ccd357bb012a7c8913e11d3076aa1fa1af452301115af29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f861656aa976a527fa14006149bb85df6e019bd51bea524d9ac4e14a2ca8ecd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-31T15:52:37Z",
    "title_canon_sha256": "4baf387ea30afe49fc98989764d2666234b0287dac8e893ebbbcb3818cc701b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0110",
    "kind": "arxiv",
    "version": 4
  }
}