Pith Number

pith:Z4CIROC6

pith:2018:Z4CIROC6XBQA6JFYFCUENN4SEG

not attested not anchored not stored refs pending

A new lower bound on Hadwiger-Debrunner numbers in the plane

Chaya Keller, Shakhar Smorodinsky

arxiv:1809.06451 v2 · 2018-09-17 · 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{Z4CIROC6XBQA6JFYFCUENN4SEG}

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	2026-05-18T00:01:37.722711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0488b85eb8600f24b828a846b79221b1513f74b7980589d4388668a94f530d

Aliases

arxiv: 1809.06451 · arxiv_version: 1809.06451v2 · doi: 10.48550/arxiv.1809.06451 · pith_short_12: Z4CIROC6XBQA · pith_short_16: Z4CIROC6XBQA6JFY · pith_short_8: Z4CIROC6

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/Z4CIROC6XBQA6JFYFCUENN4SEG \
  | 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: cf0488b85eb8600f24b828a846b79221b1513f74b7980589d4388668a94f530d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026eaa6dd7fb704f588bf2998f987167cc4b4069e656d8483aeb8e8a810e872d",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-17T21:25:59Z",
    "title_canon_sha256": "7e9cc247b5d77e90d1b628556e60987c7c3e4ff0f5853fdc68f0c47698593378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06451",
    "kind": "arxiv",
    "version": 2
  }
}