Pith Number

pith:E7C2PE3R

pith:2017:E7C2PE3RJ6RHIES3GA6XDZK4WF

not attested not anchored not stored refs pending

Colourings of cubic graphs inducing isomorphic monochromatic subgraphs

Domenico Labbate, Giuseppe Mazzuoccolo, Jan Goedgebeur, Marien Abreu

arxiv:1705.06928 v2 · 2017-05-19 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7C2PE3RJ6RHIES3GA6XDZK4WF}

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	2026-05-18T00:06:12.401659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c5a793714fa274125b303d71e55cb17d972aa4fc7da3de79325bd117addbe4

Aliases

arxiv: 1705.06928 · arxiv_version: 1705.06928v2 · doi: 10.48550/arxiv.1705.06928 · pith_short_12: E7C2PE3RJ6RH · pith_short_16: E7C2PE3RJ6RHIES3 · pith_short_8: E7C2PE3R

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/E7C2PE3RJ6RHIES3GA6XDZK4WF \
  | 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: 27c5a793714fa274125b303d71e55cb17d972aa4fc7da3de79325bd117addbe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689d47dcee8f1e70db18c154ba3e9b46e22a66a779589208f1334aaec00c51a7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-19T10:47:29Z",
    "title_canon_sha256": "47a7970cef363c75967f307be8d9d6ce3c8fef90bc810138bebf0788c86b0fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06928",
    "kind": "arxiv",
    "version": 2
  }
}