Pith Number

pith:4PNMRKLX

pith:2016:4PNMRKLXVGXFGEXDHVEFCXIKGL

not attested not anchored not stored refs pending

Hereditary Graph Classes: When the Complexities of Colouring and Clique Cover Coincide

Alexandre Blanch\'e, Dani\"el Paulusma, Konrad K. Dabrowski, Matthew Johnson

arxiv:1607.06757 v3 · 2016-07-22 · 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{4PNMRKLXVGXFGEXDHVEFCXIKGL}

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	2026-05-18T00:42:51.664513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3dac8a977a9ae5312e33d48515d0a32fe5d5bb017b7d6b21b2072d6feda941a

Aliases

arxiv: 1607.06757 · arxiv_version: 1607.06757v3 · doi: 10.48550/arxiv.1607.06757 · pith_short_12: 4PNMRKLXVGXF · pith_short_16: 4PNMRKLXVGXFGEXD · pith_short_8: 4PNMRKLX

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/4PNMRKLXVGXFGEXDHVEFCXIKGL \
  | 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: e3dac8a977a9ae5312e33d48515d0a32fe5d5bb017b7d6b21b2072d6feda941a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa275787fde1b02547104f4e5bc70156b1f1c44d004b1e11885933e3be40d62c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-22T17:32:39Z",
    "title_canon_sha256": "dc2a6e1cfdd813b15079c18dec9fe137c20a6aa7da1424577b43ef4d631e8f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06757",
    "kind": "arxiv",
    "version": 3
  }
}