Pith Number

pith:XP44J53U

pith:2016:XP44J53UHCDK6S23L6SKJU72G7

not attested not anchored not stored refs pending

Triangle-free planar graphs with the smallest independence number

Jan Mus\'ilek, Ond\v{r}ej Pangr\'ac, Tom\'a\v{s} Masa\v{r}\'ik, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1606.06265 v1 · 2016-06-20 · math.CO · 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{XP44J53UHCDK6S23L6SKJU72G7}

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	2026-05-17T23:51:00.530799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf9c4f7743886af4b5b5fa4a4d3fa37f641d69851df2b4f130a92ccba1a963b

Aliases

arxiv: 1606.06265 · arxiv_version: 1606.06265v1 · doi: 10.48550/arxiv.1606.06265 · pith_short_12: XP44J53UHCDK · pith_short_16: XP44J53UHCDK6S23 · pith_short_8: XP44J53U

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/XP44J53UHCDK6S23L6SKJU72G7 \
  | 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: bbf9c4f7743886af4b5b5fa4a4d3fa37f641d69851df2b4f130a92ccba1a963b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5247b0a3f30bf1ae54f8dea715772b3a8f1e4607f23458228d498bffac360add",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-20T19:36:07Z",
    "title_canon_sha256": "6508706e1df957c7b530f9b7193e5406f7996702c9c8a40d921433be416573ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06265",
    "kind": "arxiv",
    "version": 1
  }
}