Pith Number

pith:5VKKS24T

pith:2012:5VKKS24TSDMKUCHF2SEIPFQTM7

not attested not anchored not stored refs pending

Obstructions to chordal circular-arc graphs of small independence number

Juraj Stacho, Mathew Francis, Pavol Hell

arxiv:1210.5701 v1 · 2012-10-21 · 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{5VKKS24TSDMKUCHF2SEIPFQTM7}

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	2026-05-18T03:42:43.264155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed54a96b9390d8aa08e5d48887961367cda294c2d1732b9206c7e11c5b04a161

Aliases

arxiv: 1210.5701 · arxiv_version: 1210.5701v1 · doi: 10.48550/arxiv.1210.5701 · pith_short_12: 5VKKS24TSDMK · pith_short_16: 5VKKS24TSDMKUCHF · pith_short_8: 5VKKS24T

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/5VKKS24TSDMKUCHF2SEIPFQTM7 \
  | 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: ed54a96b9390d8aa08e5d48887961367cda294c2d1732b9206c7e11c5b04a161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd878e43d1c3705eb9e289b601c0c66ec3e51efc3155bdc3bff8a05a389e6a3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-21T07:58:40Z",
    "title_canon_sha256": "c459e515846396b1b7bf0d6834abb3e4a0e17b95c0a7b176b72d16ca862c2073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5701",
    "kind": "arxiv",
    "version": 1
  }
}