Pith Number

pith:A3BUDNM5

pith:2018:A3BUDNM5MIHWDXAUGEU3K3EJBE

not attested not anchored not stored refs pending

Counting Gallai 3-colorings of complete graphs

Fabricio Siqueira Benevides, Guilherme Oliveira Mota, Ignasi Sau, Josefran de Oliveira Bastos

arxiv:1805.06805 v1 · 2018-05-17 · 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{A3BUDNM5MIHWDXAUGEU3K3EJBE}

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	2026-05-18T00:15:43.290616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c341b59d620f61dc143129b56c89092ea9936d4446aa19a1527937d7d4efa7

Aliases

arxiv: 1805.06805 · arxiv_version: 1805.06805v1 · doi: 10.48550/arxiv.1805.06805 · pith_short_12: A3BUDNM5MIHW · pith_short_16: A3BUDNM5MIHWDXAU · pith_short_8: A3BUDNM5

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/A3BUDNM5MIHWDXAUGEU3K3EJBE \
  | 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: 06c341b59d620f61dc143129b56c89092ea9936d4446aa19a1527937d7d4efa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0372b147552e0385ade58595edc4f19694b01bc1cd5cb5bf9399ca8a494e72ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-17T14:48:26Z",
    "title_canon_sha256": "0e3ff00517925148d76a8fa6a087e00e2998b36f2d4918abae64b723bf4fc1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06805",
    "kind": "arxiv",
    "version": 1
  }
}