Pith Number

pith:XBLQ4Z6U

pith:2020:XBLQ4Z6UNEKBRKCSGIZAPLOJNN

not attested not anchored not stored refs pending

List $k$-Colouring $P_t$-Free Graphs: a Mim-width Perspective

Andrea Munaro, Daniel Paulusma, Jake Horsfield, Nick Brettell

arxiv:2008.01590 v2 · 2020-08-03 · cs.DS · cs.CC · 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{XBLQ4Z6UNEKBRKCSGIZAPLOJNN}

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	2026-07-05T03:08:53.781574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8570e67d4691418a852323207adc96b65a178198e5008f828e77cb950f6e019

Aliases

arxiv: 2008.01590 · arxiv_version: 2008.01590v2 · doi: 10.48550/arxiv.2008.01590 · pith_short_12: XBLQ4Z6UNEKB · pith_short_16: XBLQ4Z6UNEKBRKCS · pith_short_8: XBLQ4Z6U

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/XBLQ4Z6UNEKBRKCSGIZAPLOJNN \
  | 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: b8570e67d4691418a852323207adc96b65a178198e5008f828e77cb950f6e019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2ac76604c76cb813b5438d2d578ac02baf177bc3cad7c55b3e4f57828c32ef",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-08-03T14:58:57Z",
    "title_canon_sha256": "19d06367460db46221099c6ff8fa1c9c35b2107df869bf6d7b11e6d7ddd0dbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01590",
    "kind": "arxiv",
    "version": 2
  }
}