Pith Number

pith:5HZB57JP

pith:2018:5HZB57JP47C35OXDL36NPC7BEX

not attested not anchored not stored refs pending

The Slow-coloring Game on Sparse Graphs: $k$-Degenerate, Planar, and Outerplanar

Douglas B. West, Grzegorz Gutowski, Krzysztof Maziarz, Micha{\l} Zaj\k{a}c, Tomasz Krawczyk, Xuding Zhu

arxiv:1801.06754 v4 · 2018-01-21 · 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{5HZB57JP47C35OXDL36NPC7BEX}

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	2026-07-05T03:41:21.742567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f21efd2fe7c5bebae35efcd78be125c25828281fbcd54f901f638a439f287a

Aliases

arxiv: 1801.06754 · arxiv_version: 1801.06754v4 · doi: 10.48550/arxiv.1801.06754 · pith_short_12: 5HZB57JP47C3 · pith_short_16: 5HZB57JP47C35OXD · pith_short_8: 5HZB57JP

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/5HZB57JP47C35OXDL36NPC7BEX \
  | 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: e9f21efd2fe7c5bebae35efcd78be125c25828281fbcd54f901f638a439f287a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17761f30310ada05ecbd5dfadd4abf6374f9b4880c6d7b1ac44ac8aba8a26dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-21T02:47:32Z",
    "title_canon_sha256": "e652a616a2ab4c6e99bfcc379a3bfb26dad89d32f3f81af3a0b71157264bf2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06754",
    "kind": "arxiv",
    "version": 4
  }
}