Pith Number

pith:PYM54BHL

pith:2018:PYM54BHLOUHBAKKNXTTDOJEVJ5

not attested not anchored not stored refs pending

Oriented Colourings of Graphs with Maximum Degree Three and Four

Christopher Duffy, Eric Sopena, Gary MacGillivray

arxiv:1812.05510 v1 · 2018-12-13 · 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{PYM54BHLOUHBAKKNXTTDOJEVJ5}

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	2026-05-17T23:58:20.087153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e19de04eb750e10294dbce63724954f4571c22c396d08b02b4b72ca5b95510f

Aliases

arxiv: 1812.05510 · arxiv_version: 1812.05510v1 · doi: 10.48550/arxiv.1812.05510 · pith_short_12: PYM54BHLOUHB · pith_short_16: PYM54BHLOUHBAKKN · pith_short_8: PYM54BHL

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/PYM54BHLOUHBAKKNXTTDOJEVJ5 \
  | 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: 7e19de04eb750e10294dbce63724954f4571c22c396d08b02b4b72ca5b95510f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86765069a7fc4d10f56ca8c5c1fe83dd05b93fffd238525c117f0bc512a2675c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-12-13T16:36:10Z",
    "title_canon_sha256": "d91370009e377c4459c5a5f6350a0db4b76ad66946910e19fc670b6346d17057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05510",
    "kind": "arxiv",
    "version": 1
  }
}