Pith Number

pith:5HUJIDK4

pith:2017:5HUJIDK4M2RYGGDIFBXGUPH6IZ

not attested not anchored not stored refs pending

Dense point sets with many halving lines

G\'eza T\'oth, Istv\'an Kov\'acs

arxiv:1704.00229 v2 · 2017-04-01 · math.CO · 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{5HUJIDK4M2RYGGDIFBXGUPH6IZ}

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	2026-05-17T23:49:57.584306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e8940d5c66a3831868286e6a3cfe464f5fe4c9d6f049c536df46fedabd9504

Aliases

arxiv: 1704.00229 · arxiv_version: 1704.00229v2 · doi: 10.48550/arxiv.1704.00229 · pith_short_12: 5HUJIDK4M2RY · pith_short_16: 5HUJIDK4M2RYGGDI · pith_short_8: 5HUJIDK4

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/5HUJIDK4M2RYGGDIFBXGUPH6IZ \
  | 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: e9e8940d5c66a3831868286e6a3cfe464f5fe4c9d6f049c536df46fedabd9504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "022d5e6c62500de917faba82088efaa11f52d5f7de537dde84b8f272e9fd1275",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-01T21:00:43Z",
    "title_canon_sha256": "2602308f4a1c5a10a06b1faf5432c6c396a706c46af50217fe1f0a0aa8fe45b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00229",
    "kind": "arxiv",
    "version": 2
  }
}