Pith Number

pith:EZCZ2QEK

pith:2011:EZCZ2QEK3CBTTMD3OECMCBELF4

not attested not anchored not stored refs pending

Coloring half-planes and bottomless rectangles

Bal\'azs Keszegh

arxiv:1105.0169 v1 · 2011-05-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZCZ2QEK3CBTTMD3OECMCBELF4}

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	2026-05-18T04:23:12.389586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26459d408ad88339b07b7104c1048b2f12a5686abec295f9e16ff19c029bf474

Aliases

arxiv: 1105.0169 · arxiv_version: 1105.0169v1 · doi: 10.48550/arxiv.1105.0169 · pith_short_12: EZCZ2QEK3CBT · pith_short_16: EZCZ2QEK3CBTTMD3 · pith_short_8: EZCZ2QEK

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/EZCZ2QEK3CBTTMD3OECMCBELF4 \
  | 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: 26459d408ad88339b07b7104c1048b2f12a5686abec295f9e16ff19c029bf474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70619c3090734094688031709175a697fd499cc047f6522df3fe51937fb3b4bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-01T13:08:20Z",
    "title_canon_sha256": "81b83c9103249bd840657df2509ca87944618c314c90efd78b76df3d55d14b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0169",
    "kind": "arxiv",
    "version": 1
  }
}