Pith Number

pith:FFWCUCIH

pith:2011:FFWCUCIHGUSLLAPIGKVG6ZYIRO

not attested not anchored not stored refs pending

Convex Hull of Points Lying on Lines in o(n log n) Time after Preprocessing

Esther Ezra, Wolfgang Mulzer

arxiv:1102.2008 v3 · 2011-02-09 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFWCUCIHGUSLLAPIGKVG6ZYIRO}

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	2026-05-18T03:37:53.402447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296c2a09073524b581e832aa6f67088baac72d3d7baf50a632682a76cc8b4a60

Aliases

arxiv: 1102.2008 · arxiv_version: 1102.2008v3 · doi: 10.48550/arxiv.1102.2008 · pith_short_12: FFWCUCIHGUSL · pith_short_16: FFWCUCIHGUSLLAPI · pith_short_8: FFWCUCIH

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/FFWCUCIHGUSLLAPIGKVG6ZYIRO \
  | 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: 296c2a09073524b581e832aa6f67088baac72d3d7baf50a632682a76cc8b4a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08a1e2a40a8526f2289ee00ee48338ec18c6f409fd1e00dfe841291452be37b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-02-09T23:38:26Z",
    "title_canon_sha256": "7045ccfc19c97e19a9234d003dbaf670c05df7bb67abe5310cab9131e0e6849c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2008",
    "kind": "arxiv",
    "version": 3
  }
}