Pith Number

pith:57JHBCN5

pith:2017:57JHBCN5AECDCDNHRR74BF7CNK

not attested not anchored not stored refs pending

On Colouring $(2P_2,H)$-Free and $(P_5,H)$-Free Graphs

Daniel Paulusma, Konrad Dabrowski

arxiv:1712.02447 v1 · 2017-12-06 · cs.CC · cs.DS · 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{57JHBCN5AECDCDNHRR74BF7CNK}

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	2026-05-18T00:28:34.127618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd27089bd0104310da78c7fc097e26aa6c1c3953a6bed89899086a491a6b1e1

Aliases

arxiv: 1712.02447 · arxiv_version: 1712.02447v1 · doi: 10.48550/arxiv.1712.02447 · pith_short_12: 57JHBCN5AECD · pith_short_16: 57JHBCN5AECDCDNH · pith_short_8: 57JHBCN5

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/57JHBCN5AECDCDNHRR74BF7CNK \
  | 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: efd27089bd0104310da78c7fc097e26aa6c1c3953a6bed89899086a491a6b1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3cd6fbaa8ce0f1fd886b803952806e27143f88cf257663713381784f4956ad",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-12-06T23:45:33Z",
    "title_canon_sha256": "e557845ed432d593d5a8e8905e505fdb62af5c2f927334c88698963a44f4a832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02447",
    "kind": "arxiv",
    "version": 1
  }
}