Pith Number

pith:AICOZLEV

pith:2017:AICOZLEVLG577HOQOTXHBJSX7N

not attested not anchored not stored refs pending

Decomposing arrangements of hyperplanes: VC-dimension, combinatorial dimension, and point location

Esther Ezra, Haim Kaplan, Micha Sharir, Sariel Har-Peled

arxiv:1712.02913 v1 · 2017-12-08 · 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{AICOZLEVLG577HOQOTXHBJSX7N}

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	2026-05-18T00:28:28.913569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0204ecac9559bbff9dd074ee70a657fb4ebac8774109ceb9d058a8bc46a18db2

Aliases

arxiv: 1712.02913 · arxiv_version: 1712.02913v1 · doi: 10.48550/arxiv.1712.02913 · pith_short_12: AICOZLEVLG57 · pith_short_16: AICOZLEVLG577HOQ · pith_short_8: AICOZLEV

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/AICOZLEVLG577HOQOTXHBJSX7N \
  | 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: 0204ecac9559bbff9dd074ee70a657fb4ebac8774109ceb9d058a8bc46a18db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28f17a47b7e9e2832a531b8a3802a059c7980f02c9818f31a320ba8b47d81d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-12-08T02:16:40Z",
    "title_canon_sha256": "3668b744bfa9e48a07e6b3a0b7884fd4d8ca2d59ae89292de44a5c0414dbf8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02913",
    "kind": "arxiv",
    "version": 1
  }
}