Pith Number

pith:Z75CAUY6

pith:2007:Z75CAUY6B7ZVDBXHVCZ4VSULDR

not attested not anchored not stored refs pending

Aperture-Angle and Hausdorff-Approximation of Convex Figures

Hee-Kap Ahn, Joachim Gudmundsson, Otfried Cheong, Sang Won Bae

arxiv:cs/0702090 v2 · 2007-02-16 · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z75CAUY6B7ZVDBXHVCZ4VSULDR}

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	2026-05-18T04:41:53.072659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffa20531e0ff35186e7a8b3caca8b1c445c9981e19c086dfc3b0edfd23ca744

Aliases

arxiv: cs/0702090 · arxiv_version: cs/0702090v2 · doi: 10.48550/arxiv.cs/0702090 · pith_short_12: Z75CAUY6B7ZV · pith_short_16: Z75CAUY6B7ZVDBXH · pith_short_8: Z75CAUY6

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/Z75CAUY6B7ZVDBXHVCZ4VSULDR \
  | 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: cffa20531e0ff35186e7a8b3caca8b1c445c9981e19c086dfc3b0edfd23ca744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdb0f1ef6f59759215f15e7281461855efde9b9b3f5e175134c0ec516ca2fe7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "cs.CG",
    "submitted_at": "2007-02-16T06:00:08Z",
    "title_canon_sha256": "ef070a8557d4876d9e1ceca84b6c1f9be674ddd1d91864126d39b7e7fc332288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0702090",
    "kind": "arxiv",
    "version": 2
  }
}