Pith Number

pith:JNF5L5LE

pith:2018:JNF5L5LE6ANZOP47VO7WVUYW7K

not attested not anchored not stored refs pending

$H$-colouring $P_t$-free graphs in subexponential time

Alex Scott, Carla Groenland, Karolina Okrasa, Paul Seymour, Pawel Rz\k{a}\.zewski, Sophie Spirkl

arxiv:1803.05396 v3 · 2018-03-14 · 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{JNF5L5LE6ANZOP47VO7WVUYW7K}

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	2026-05-17T23:50:42.783004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4bd5f564f01b973f9fabbf6ad316fab28668a5b83ed3898703c413735a0f2a

Aliases

arxiv: 1803.05396 · arxiv_version: 1803.05396v3 · doi: 10.48550/arxiv.1803.05396 · pith_short_12: JNF5L5LE6ANZ · pith_short_16: JNF5L5LE6ANZOP47 · pith_short_8: JNF5L5LE

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/JNF5L5LE6ANZOP47VO7WVUYW7K \
  | 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: 4b4bd5f564f01b973f9fabbf6ad316fab28668a5b83ed3898703c413735a0f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3309a183d2fb8703d8a11b75de59e9cbfe2f42e0c67f5ae509288395ce414a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-14T16:45:27Z",
    "title_canon_sha256": "39919b235eb701e1a9b69efb54971e4d4d06b0750fcaa33844129e8e3edf192c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05396",
    "kind": "arxiv",
    "version": 3
  }
}