Pith Number

pith:ODRPNAWG

pith:2012:ODRPNAWGXEAQKRCSSQNJRP7JIR

not attested not anchored not stored refs pending

Triangle-free intersection graphs of line segments with large chromatic number

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

arxiv:1209.1595 v5 · 2012-09-07 · 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{ODRPNAWGXEAQKRCSSQNJRP7JIR}

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	2026-05-18T02:30:32.813164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e2f682c6b901054452941a98bfe9446b67de59202c72e797aab7481a0b75de

Aliases

arxiv: 1209.1595 · arxiv_version: 1209.1595v5 · doi: 10.48550/arxiv.1209.1595 · pith_short_12: ODRPNAWGXEAQ · pith_short_16: ODRPNAWGXEAQKRCS · pith_short_8: ODRPNAWG

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/ODRPNAWGXEAQKRCSSQNJRP7JIR \
  | 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: 70e2f682c6b901054452941a98bfe9446b67de59202c72e797aab7481a0b75de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44add610694991af7783e43c0a978835510ba9cfcd50c13629eb5bf6343c1b2",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-07T17:31:03Z",
    "title_canon_sha256": "ad20a197fae3ed90a404757cd4711c6ae15b9e263e6e1ce82ed240a2ffd1f354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1595",
    "kind": "arxiv",
    "version": 5
  }
}