Pith Number

pith:KK6LOIZS

pith:2012:KK6LOIZSPSDIIBEPSZ2ZJNQKJH

not attested not anchored not stored refs pending

Triangle-free geometric intersection graphs with large chromatic number

Arkadiusz Pawlik, Bartosz Walczak, Jakub Kozik, Micha{\l} Laso\'n, Piotr Micek, Tomasz Krawczyk, William T. Trotter

arxiv:1212.2058 v3 · 2012-12-10 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK6LOIZSPSDIIBEPSZ2ZJNQKJH}

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	2026-05-18T02:30:32.761117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bcb723327c8684048f967594b60a49e348bf8b2a11d3433cf10095e4d361f2

Aliases

arxiv: 1212.2058 · arxiv_version: 1212.2058v3 · doi: 10.48550/arxiv.1212.2058 · pith_short_12: KK6LOIZSPSDI · pith_short_16: KK6LOIZSPSDIIBEP · pith_short_8: KK6LOIZS

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/KK6LOIZSPSDIIBEPSZ2ZJNQKJH \
  | 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: 52bcb723327c8684048f967594b60a49e348bf8b2a11d3433cf10095e4d361f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360382f9ceac2bb09f28364d4d57d44d48efdd727438a3afacd1405b3ab879c0",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-10T13:36:35Z",
    "title_canon_sha256": "7a29ccb82b525da3800e7152ad94f10208aa7c316638d67d61e77c3de826f2f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2058",
    "kind": "arxiv",
    "version": 3
  }
}