Pith Number

pith:YNJH2ZN2

pith:2018:YNJH2ZN2EVPOXWWL7PBAOJIY4X

not attested not anchored not stored refs pending

The number of Gallai k-colorings of complete graphs

Fabricio S. Benevides, Jie Han, Josefran de Oliveira Bastos

arxiv:1812.10465 v2 · 2018-12-26 · 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{YNJH2ZN2EVPOXWWL7PBAOJIY4X}

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	2026-05-17T23:57:18.961376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3527d65ba255eebdacbfbc2072518e5f99ec06a7f7002eda09bf64ecd4827ae

Aliases

arxiv: 1812.10465 · arxiv_version: 1812.10465v2 · doi: 10.48550/arxiv.1812.10465 · pith_short_12: YNJH2ZN2EVPO · pith_short_16: YNJH2ZN2EVPOXWWL · pith_short_8: YNJH2ZN2

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/YNJH2ZN2EVPOXWWL7PBAOJIY4X \
  | 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: c3527d65ba255eebdacbfbc2072518e5f99ec06a7f7002eda09bf64ecd4827ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e795221f9f1a65655578504ef0612fd6b74a7486328bc8062ced927d4eb683c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-26T18:59:12Z",
    "title_canon_sha256": "cf2765b53a3142a8d598cfcec703ce447ead27b960777cb9bd67ae2770d82e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10465",
    "kind": "arxiv",
    "version": 2
  }
}