Pith Number

pith:DX5LYLC7

pith:2015:DX5LYLC7T6NYGSJFYZBUL5ZLF3

not attested not anchored not stored refs pending

On the b-chromatic number of the Cartesian product of two complete graphs

Artur Mesquita Barbosa, Fr\'ed\'eric Maffray

arxiv:1504.01975 v1 · 2015-04-08 · 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{DX5LYLC7T6NYGSJFYZBUL5ZLF3}

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	2026-05-18T02:19:17.634559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfabc2c5f9f9b834925c64345f72b2ed8ba96fac9ff6ec404136c37b87dcd9e

Aliases

arxiv: 1504.01975 · arxiv_version: 1504.01975v1 · doi: 10.48550/arxiv.1504.01975 · pith_short_12: DX5LYLC7T6NY · pith_short_16: DX5LYLC7T6NYGSJF · pith_short_8: DX5LYLC7

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/DX5LYLC7T6NYGSJFYZBUL5ZLF3 \
  | 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: 1dfabc2c5f9f9b834925c64345f72b2ed8ba96fac9ff6ec404136c37b87dcd9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87fb76a058c36474ad636d3dbe2bc3b96d40d4efffdd014bcd008636662f9d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-08T14:09:19Z",
    "title_canon_sha256": "ea9ccf92ab212b8ca7096aab0125a6bea71048327494b30ff01b627a731fb019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01975",
    "kind": "arxiv",
    "version": 1
  }
}