Pith Number

pith:4P3VU5V7

pith:2013:4P3VU5V72ADJEZ5OV43ENYZKDU

not attested not anchored not stored refs pending

Coloring triangle-free rectangle overlap graphs with $O(\log\log n)$ colors

Arkadiusz Pawlik, Bartosz Walczak, Tomasz Krawczyk

arxiv:1301.0541 v4 · 2013-01-03 · cs.CG · cs.DM · 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{4P3VU5V72ADJEZ5OV43ENYZKDU}

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	2026-05-18T02:30:32.736262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f75a76bfd0069267aeaf3646e32a1d3255e0cfb9087862911ccf78472543e9

Aliases

arxiv: 1301.0541 · arxiv_version: 1301.0541v4 · doi: 10.48550/arxiv.1301.0541 · pith_short_12: 4P3VU5V72ADJ · pith_short_16: 4P3VU5V72ADJEZ5O · pith_short_8: 4P3VU5V7

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/4P3VU5V72ADJEZ5OV43ENYZKDU \
  | 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: e3f75a76bfd0069267aeaf3646e32a1d3255e0cfb9087862911ccf78472543e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec8d9bbd6d7a3a8aae5857992a608de201bf7079464d91efd38141b644cc2e5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-01-03T20:24:33Z",
    "title_canon_sha256": "b5cdc610a9ddd27fe32c1584dfbaf22baf877c5977c79d09478014028eeeb64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0541",
    "kind": "arxiv",
    "version": 4
  }
}