Pith Number

pith:MVBOLP57

pith:2015:MVBOLP57JHEIQKS6NANFM7XXLI

not attested not anchored not stored refs pending

The $b$-Chromatic Number of Certain Graphs and Digraphs

Johan Kok, Naduvath Sudev

arxiv:1511.00680 v1 · 2015-11-02 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVBOLP57JHEIQKS6NANFM7XXLI}

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	2026-05-18T01:28:06.625012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6542e5bfbf49c8882a5e681a567ef75a34cd111553518d13c7537de7d3afe86a

Aliases

arxiv: 1511.00680 · arxiv_version: 1511.00680v1 · doi: 10.48550/arxiv.1511.00680 · pith_short_12: MVBOLP57JHEI · pith_short_16: MVBOLP57JHEIQKS6 · pith_short_8: MVBOLP57

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/MVBOLP57JHEIQKS6NANFM7XXLI \
  | 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: 6542e5bfbf49c8882a5e681a567ef75a34cd111553518d13c7537de7d3afe86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb11f80b0117d8247fe41c3327f701dbc6ffc357792d6a676c7fdd4f94c1116",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-11-02T06:08:46Z",
    "title_canon_sha256": "64ba49a89a257c80b5d1abdf93f51c912a364d01344ed1314368487648d0255b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00680",
    "kind": "arxiv",
    "version": 1
  }
}