Pith Number

pith:TVMIUG5D

pith:2020:TVMIUG5DBVDLLC45NVQX2FRZMQ

not attested not anchored not stored refs pending

Colouring $(sP_1+P_5)$-Free Graphs: a Mim-Width Perspective

Daniel Paulusma, Jake Horsfield, Nick Brettell

arxiv:2004.05022 v2 · 2020-04-10 · 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{TVMIUG5DBVDLLC45NVQX2FRZMQ}

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	2026-07-05T00:57:53.204711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d588a1ba30d46b58b9d6d617d163964122fa266a1e331f92839192faa8df577

Aliases

arxiv: 2004.05022 · arxiv_version: 2004.05022v2 · doi: 10.48550/arxiv.2004.05022 · pith_short_12: TVMIUG5DBVDL · pith_short_16: TVMIUG5DBVDLLC45 · pith_short_8: TVMIUG5D

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/TVMIUG5DBVDLLC45NVQX2FRZMQ \
  | 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: 9d588a1ba30d46b58b9d6d617d163964122fa266a1e331f92839192faa8df577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c518c4a3367d8fe8009a8c277de047a57557431109fd435ac95cebb78d9f349b",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-04-10T13:12:32Z",
    "title_canon_sha256": "2c7e36ffb0aad4514efdb9ea57f4de96d1c49f870e9c819536c57fb0f2fce58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.05022",
    "kind": "arxiv",
    "version": 2
  }
}